// Use the below code, denoted by G(C_{28}) in the paper
K:=GF(3);
Kn:=KMatrixSpace(K, 14, 28);
G1:=Kn![
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0,
0, 0, 0, 0, 0,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2,
1, 0, 0, 0, 0,
2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1,
1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1,
2, 2, 2, 1, 2,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1,
1, 2, 2, 2, 1,
2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1,
1, 1, 2, 2, 2,
1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2,
1, 1, 1, 2, 2,
0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1,
2, 1, 1, 1, 2,
2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0,
1, 2, 1, 1, 1,  
2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2,
0, 1, 2, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1,
2, 0, 1, 2, 1,
1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2,
1, 2, 0, 1, 2,
0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2,
2, 1, 2, 0, 1,
1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2,
2, 2, 1, 2, 0];


// The right parts of the first two rows of the upper generator
// matrix represent x_1 and x_2 respectively. Compare with Table I
// of the full paper

// The last matrix represents the Harada's code 
// (M. Harada, An extremal ternary self-dual [28, 14, 9] code 
// with a trivial automorphism group, Discrete Math. 
// vol. 239, pp. 121-125, 2001.


1
1
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 1 1 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

2
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

3
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 1 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 2 1 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

4
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 0 0 0 2 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

5
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 1 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

6
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

7
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

8
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 2 1 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 1 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

9
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

10
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 1 1 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

11
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 1 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

12
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

13
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 1 2 1 1 1 2 2 1 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

14
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 1 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

15
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

16
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

17
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 2 2 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 2 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

18
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

19
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 1 0 1 2 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

20
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 0 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 0 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

21
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 0 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

22
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 2 2 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

23
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 1 1 0 0 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 0 1 0 2 2 0 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

24
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 2 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

25
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

26
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 1 1 0 2 0 1 1 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

27
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 2 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

28
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 0 1 1 1 0 0 1 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 1 2 2 2 1 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

29
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 1 2 0 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

30
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 2 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 0 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

31
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

32
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

33
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

34
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

35
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 2 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

36
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

37
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 1 1 1 2 1 1 0 0 1 1 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 2 0 2 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 2 2 0 0 0 2 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 1 2 0 2 1 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 2 0 0 2 0 0 1 1 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

38
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

39
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

40
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

41
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 0 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

42
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 2 1 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 2 2 0 0 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 2 0 0 2 2 0 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

43
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 0 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

44
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 1 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 1 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 0 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 1 2 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

45
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 2 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

46
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 0 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

47
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 0 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 2 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

48
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 2 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

49
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 1 0 0 2 2 0 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

50
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 0 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

51
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 2 0 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

52
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

53
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

54
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

55
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 0 2 1 1 0 0 1 0 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 0 2 2 1 1 1 2 0 2 1 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

56
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 2 0 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

57
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 0 0 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

58
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 2 1 1 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

59
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 2 1 1 0 2 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

60
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 2 0 0 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

61
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 2 2 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

62
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 0 2 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 0 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 2 2 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

63
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 2 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 2 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

64
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 0 1 0 2 1 1 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

65
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 2 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 0 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

66
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 0 2 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 2 1 0 1 2 2 1 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

67
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 2 1 0 2 2 0 2 0 2 1 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 2 1 0 2 0 0 1 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

68
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 2 0 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 2 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

69
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 2 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 2 2 0 2 0 1 1 0 0 1 1 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 1 1 2 0 0 1 0 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 2 1 0 2 0 1 0 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 0 1 2 1 1 2 2 1 2 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

70
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 2 2 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

71
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 2 1 0 0 1 1 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 1 0 2 1 1 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

72
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 0 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 2 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

73
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

74
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

75
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 0 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

76
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 0 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 2 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

77
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 2 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2 1 0 1 1 1 2 2 1 0 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

78
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 1 1 1 0 2 0 0 1 1 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 1 1 2 0 0 1 0 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 2 1 0 2 0 1 0 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 0 1 2 1 1 2 2 1 2 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

79
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 2 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

80
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 2 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 2 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 0 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 2 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

81
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 2 2 0 1 1 2 0 2 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 1 1 2 0 0 1 0 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 0 2 1 1 2 2 0 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 1 2 0 0 0 0 2 0 1 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

82
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 1 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 1 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

83
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 2 1 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

84
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

85
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

86
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 1 2 2 0 1 2 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 0 0 1 2 1 0 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

87
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 1 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

88
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 1 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

89
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 1 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 1 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

90
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 1 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

91
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

92
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 2 1 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

93
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 1 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

94
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 0 1 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 1 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

95
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 0 2 2 2 2 0 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

96
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

97
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 1 0 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 0 1 0 2 2 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

98
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 1 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

99
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 1 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

100
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 1 1 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

101
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 1 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 0 1 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

102
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 0 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 1 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 1 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

103
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 0 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 0 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

104
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 2 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 1 0 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

105
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 2 1 2 2 2 0 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

106
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 2 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 1 0 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

107
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

108
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

109
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 0 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

110
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 0 1 0 0 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 2 2 2 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

111
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 0 2 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

112
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 2 1 2 1 0 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

113
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 2 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 1 1 2 2 2 0 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

114
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 0 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

115
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 1 1 1 0 0 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

116
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 1 0 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

117
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 0 0 2 0 2 0 1 2 2 1 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 2 2 1 0 0 0 2 1 1 1 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

118
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 0 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

119
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

120
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 2 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

121
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 1 0 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

122
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 1 0 0 0 1 0 2 0 0 1 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

123
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 0 0 2 0 2 1 1 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

124
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

125
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 1 2 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 0 0 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

126
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 2 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 0 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

127
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 2 0 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

128
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 0 2 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

129
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 2 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 1 1 1 1 0 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

130
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 2 2 1 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

131
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 1 1 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 1 1 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

132
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 2 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

133
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 2 2 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

134
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 1 2 1 1 0 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 0 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

135
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 0 2 1 2 0 1 2 2 1 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

136
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 0 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

137
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 1 0 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

138
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 2 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

139
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 1 0 2 2 1 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

140
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 0 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 0 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 2 2 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

141
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

142
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 0 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

143
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 2 2 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

144
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 2 2 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 0 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

145
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 2 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

146
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 0 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

147
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 1 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

148
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 0 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

149
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 2 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

150
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 2 0 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

151
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 1 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 1 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 1 0 2 0 2 0 2 0 2 1 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

152
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 1 0 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 2 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

153
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 2 2 0 0 0 1 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

154
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

155
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 1 1 0 0 1 2 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 2 1 0 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

156
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 2 2 0 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

157
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 0 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

158
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

159
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 0 2 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

160
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

161
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 2 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

162
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 0 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

163
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

164
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 1 1 1 2 2 0 2 1 0 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 0 1 2 2 2 0 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 2 1 2 2 2 0 1 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 2 0 2 1 1 1 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 1 0 2 2 0 0 1 1 1 0 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 1 0 2 0 1 1 2 2 1 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 1 0 2 0 2 2 2 2 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 1 1 0 0 2 1 2 0 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

165
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

166
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 1 2 0 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

167
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 0 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

168
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

169
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 2 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

170
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 1 0 1 2 2 0 1 1 1 1 1 1 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 2 0 0 1 1 1 2 2 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 2 0 1 1 0 2 2 2 1 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

171
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 0 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 1 0 1 2 0 1 2 2 1 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 1 0 2 2 0 2 1 1 1 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

172
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

173
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

174
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

175
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 2 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

176
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 1 2 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 2 1 2 0 0 0 1 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 2 2 1 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

177
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 2 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 2 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 1 0 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 2 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

178
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 0 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 1 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

179
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 1 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

180
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 1 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

181
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 2 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

182
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 1 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

183
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 0 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

184
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 1 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

185
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 1 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

186
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

187
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 0 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 1 1 1 1 0 0 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 1 1 1 0 1 1 2 0 0 1 1 0 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 1 1 0 0 0 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 2 1 2 2 2 0 1 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 2 2 1 1 0 0 0 0 2 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 1 0 2 2 0 0 1 1 1 0 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 2 2 0 0 1 0 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 0 1 1 0 1 2 0 2 0 0 2 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

188
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 2 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 2 1 2 1 2 2 0 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

189
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 1 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 1 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

190
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 0 1 0 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

191
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 1 2 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 2 2 0 2 2 1 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

192
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

193
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 2 1 1 0 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 1 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

194
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 1 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

195
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 1 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 2 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

196
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 1 2 0 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 0 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

197
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 2 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 1 0 1 2 2 2 0 2 1 0 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 2 0 0 1 0 2 0 2 0 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 0 1 2 2 2 0 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 2 1 2 1 1 2 0 1 1 0 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 2 2 1 1 0 0 0 0 2 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 2 0 1 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 2 2 0 0 1 0 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 1 1 0 0 2 1 2 0 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

198
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 0 0 2 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 0 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 0 2 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

199
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 0 2 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 0 2 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 1 1 2 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

200
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 0 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 1 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 1 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

201
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 1 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 1 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

202
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 0 1 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

203
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 1 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

204
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 0 1 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

205
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 1 1 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

206
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 1 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 1 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

207
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 1 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

208
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 0 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 2 2 2 1 2 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 2 0 2 0 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

209
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 0 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

210
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 1 0 0 2 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

211
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 0 1 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 1 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

212
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 1 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

213
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 1 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

214
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 0 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 0 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 1 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 1 1 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

215
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 2 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

216
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

217
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 0 2 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

218
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 1 1 0 2 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 0 1 0 0 2 2 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

219
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 1 0 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 2 1 2 2 0 1 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

220
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 2 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 1 0 1 0 0 2 2 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

221
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 2 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 0 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

222
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 0 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

223
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 1 2 1 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 1 0 2 0 1 0 1 2 2 1 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 1 1 0 0 1 2 1 1 1 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

224
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 2 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

225
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 0 2 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 0 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

226
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 1 0 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 1 0 0 1 2 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 2 2 0 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

227
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 0 2 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

228
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 1 0 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

229
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 0 0 0 0 1 0 1 2 2 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 1 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 2 2 0 0 0 2 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 1 1 2 0 0 1 0 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 0 2 1 1 2 2 0 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

230
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 0 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

231
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 2 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 0 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

232
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 2 1 2 1 2 0 1 1 1 1 1 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 0 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 2 1 0 2 0 1 0 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

233
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 0 1 0 2 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 1 1 0 0 2 2 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

234
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 1 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 1 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 0 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

235
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 1 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 1 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 1 1 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 2 2 0 0 1 1 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

236
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 2 1 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 2 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

237
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 2 0 1 2 2 1 2 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 1 0 1 0 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

238
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 2 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

239
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 0 2 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

240
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 0 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 2 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

241
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 0 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 2 2 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

242
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 0 0 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 2 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

243
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 0 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

244
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 2 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2 2 1 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 0 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 2 2 0 1 2 1 1 1 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

245
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 0 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 2 2 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

246
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 2 0 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

247
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 0 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 2 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

248
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 2 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

249
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 0 1 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 1 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

250
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 2 1 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 1 0 2 0 2 1 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 2 0 2 1 1 2 0 0 1 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

251
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 2 1 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 0 2 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 2 2 2 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

252
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 2 1 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 2 1 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 1 1 2 1 2 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 0 0 2 0 2 0 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

253
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

254
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 1 0 0 0 2 1 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

255
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 2 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

256
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 2 0 2 0 2 2 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

257
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 0 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

258
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 2 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 2 0 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

259
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 2 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

260
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 1 1 0 2 0 0 1 2 1 0 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 2 1 0 2 0 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 0 1 2 2 2 0 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 1 1 0 0 0 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 2 1 1 1 2 1 1 1 0 2 2 0 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 1 0 2 0 1 1 2 2 1 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 1 0 2 0 2 2 2 2 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 1 1 0 0 2 1 2 0 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

261
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

262
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 2 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 0 0 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

263
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 1 1 0 0 1 0 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

264
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 2 0 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

265
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2 1 0 1 0 1 0 0 1 0 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

266
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 2 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

267
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 0 2 1 2 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

268
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 1 2 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

269
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 0 1 0 0 1 0 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

270
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

271
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 2 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

272
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 1 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

273
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 2 1 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

274
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 1 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

275
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 1 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 1 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

276
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 1 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 1 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

277
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 1 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 1 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

278
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 0 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 0 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 1 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

279
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 1 1 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

280
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 1 1 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 1 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

281
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 2 1 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 1 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

282
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 2 1 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

283
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 0 2 1 0 1 0 2 0 2 1 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

284
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 0 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 1 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 2 1 0 1 2 1 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

285
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 2 1 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

286
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 1 0 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 1 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 0 2 0 0 2 1 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

287
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 2 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

288
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 1 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 1 1 0 2 2 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 1 0 2 1 0 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

289
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 0 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

290
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 2 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

291
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 2 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

292
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 2 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 0 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

293
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 2 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 0 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

294
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 2 1 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 0 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

295
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 2 0 2 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

296
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 0 2 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

297
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 0 2 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 1 0 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

298
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 2 1 2 0 2 2 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

299
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

300
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 0 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 1 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 2 1 2 0 0 1 1 1 1 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 1 1 2 2 1 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

301
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 2 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 0 0 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

302
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 2 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 0 1 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

303
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 2 2 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 0 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

304
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 1 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 1 2 2 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 0 1 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

305
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 0 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 2 0 2 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

306
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 1 1 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 1 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 2 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 1 0 0 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

307
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 1 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 0 1 2 2 1 0 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

308
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 0 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 1 1 0 2 2 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

309
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 1 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 0 2 0 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

310
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 2 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

311
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 2 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 2 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 1 0 0 0 1 2 2 2 1 0 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

312
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 1 2 0 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 1 0 2 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

313
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 1 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 1 2 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 2 0 0 2 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 1 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

314
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 0 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 2 2 0 1 0 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

315
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 2 1 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 1 2 0 0 2 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 2 2 0 0 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

316
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 2 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 2 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 2 2 1 2 0 1 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

317
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 0 2 0 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

318
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 0 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 1 2 2 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

319
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 2 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 0 1 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 2 2 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

320
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 2 1 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

321
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 2 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 0 1 0 2 1 0 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

322
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 2 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 2 1 1 1 2 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 2 1 2 2 1 1 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 2 2 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

323
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 2 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 1 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

324
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 2 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 0 1 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 0 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

325
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 0 0 2 2 1 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 0 2 1 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

326
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 2 2 2 0 0 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 1 0 2 2 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

327
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 2 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 2 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 0 2 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 2 0 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

328
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 0 1 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 2 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 1 0 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

329
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 0 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 0 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 1 1 2 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 1 0 0 0 1 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

330
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 2 0 0 1 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 2 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 1 0 1 0 0 0 1 2 2 1 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 1 0 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 1 2 0 2 1 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 2 0 1 1 0 2 2 2 1 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 0 1 2 1 1 2 2 1 2 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

661
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 1 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 1 1 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

662
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 0 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 0 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 1 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

663
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 1 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 1 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

664
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 1 1 2 0 1 2 2 2 1 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 1 2 0 1 1 2 1 0 1 1 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

665
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 2 0 0 0 1 1 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

666
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 0 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 0 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

667
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 1 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

668
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 0 2 2 1 2 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 0 1 1 0 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

669
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

670
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 0 2 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

671
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 2 0 2 0 1 2 2 2 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 1 2 2 1 2 1 0 1 1 1 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 0 2 1 1 2 2 0 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 2 0 0 2 0 0 1 1 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 1 2 0 0 0 0 2 0 1 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

672
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 2 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 1 2 2 2 0 1 2 2 2 1 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

673
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 1 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 2 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

674
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 2 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

675
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 2 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

676
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 0 1 1 1 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

677
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

678
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 2 2 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

679
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 2 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 2 0 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

680
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 2 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

681
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 2 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

682
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 1 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 2 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 0 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

683
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 0 1 0 0 0 0 2 1 2 1 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

684
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 1 2 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 0 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

685
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 1 2 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

686
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 1 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 1 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

687
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 0 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 2 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

688
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 2 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

689
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 0 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 2 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

690
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 1 0 0 0 0 1 1 1 2 1 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 1 1 2 0 2 1 1 2 1 0 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

691
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 0 0 1 1 1 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

692
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 0 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 2 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

693
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 1 1 1 0 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

694
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 1 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 1 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

695
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

696
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

697
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 1 0 2 0 0 0 2 1 2 1 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

698
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 2 0 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

699
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 2 1 0 0 1 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

700
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 2 1 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 2 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

701
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 2 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

702
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 1 2 1 2 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

703
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

704
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

705
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 0 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

706
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 1 0 1 2 1 2 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

707
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 1 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 2 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

708
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 2 0 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 2 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

709
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 0 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 2 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

710
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 1 0 2 1 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

711
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 0 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

712
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 0 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 0 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 2 0 0 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 2 1 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

713
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 2 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 0 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

714
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 0 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 2 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

715
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 2 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 2 0 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

716
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 2 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 2 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

717
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 2 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 2 0 1 1 1 2 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

718
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

719
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 1 0 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

720
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 1 1 2 1 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

721
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 2 2 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 2 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 0 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 0 2 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

722
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 0 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

723
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 2 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 2 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

724
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 2 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 2 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 2 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

725
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 2 2 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 2 2 2 2 1 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

726
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 2 2 1 1 1 2 2 0 2 1 0 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

727
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

728
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

729
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 1 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 1 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

730
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 1 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

731
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 1 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 1 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

732
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 1 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

733
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 1 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

734
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 1 0 0 2 1 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

735
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 2 1 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

736
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 2 1 0 1 1 1 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

737
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

738
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 1 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 1 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

739
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 0 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 0 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 1 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 2 2 2 1 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

740
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 0 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 1 1 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 1 1 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

741
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 1 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 1 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

742
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 1 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

743
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 0 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 2 0 1 1 1 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 1 2 2 2 1 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

744
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 0 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 1 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

745
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 0 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 0 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 1 1 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

746
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 1 2 1 1 1 1 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

747
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 2 0 0 1 2 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

748
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

749
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 2 2 1 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

750
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

751
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 2 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

752
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 1 2 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 1 0 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

753
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 2 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

754
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

755
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 2 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

756
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

757
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

758
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 2 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 2 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

759
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 0 2 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

760
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

761
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 0 2 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

762
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

763
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 2 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

764
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 1 2 1 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

765
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 2 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

766
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

767
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

768
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 2 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

769
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 0 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 2 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 1 2 2 1 2 2 0 2 1 0 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

770
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 0 2 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

771
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 2 2 1 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 0 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

772
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 1 1 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 1 1 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 2 2 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 1 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

773
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 1 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 0 1 0 2 2 1 0 1 1 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

774
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 1 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 1 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 2 2 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

775
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 1 2 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 0 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

776
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 1 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 1 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 0 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

777
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 2 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

778
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 1 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 1 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 2 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 0 0 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

779
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 1 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 1 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

780
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

781
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 0 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

782
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 1 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 0 0 2 2 0 2 2 2 1 1 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

783
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 2 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 2 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 2 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

784
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

785
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 0 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 2 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

786
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 0 1 0 1 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

787
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

788
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 0 0 0 2 2 2 1 1 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

789
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

790
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 2 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 2 0 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 1 1 1 1 2 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 0 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

791
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

792
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 2 2 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

793
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 0 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 1 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

794
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 2 0 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

795
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 0 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 2 0 0 1 0 1 2 2 2 1 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 0 1 2 2 2 1 0 1 1 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

796
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 2 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

797
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 0 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 2 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

798
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 0 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 0 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 2 0 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

799
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

800
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 2 1 1 2 1 2 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

801
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 1 0 2 1 1 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

802
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 2 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 1 0 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

803
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 2 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

804
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 2 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

805
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

806
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 1 2 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 1 2 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

807
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 1 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 1 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

808
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 1 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

809
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 1 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

810
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 0 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 0 0 0 1 1 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

811
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 1 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

812
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 1 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

813
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 1 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 2 1 0 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

814
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 1 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

815
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 0 1 0 1 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

816
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 2 1 0 1 2 2 2 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 1 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 2 1 1 1 2 0 1 1 2 0 1 0 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 2 1 0 2 0 1 0 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 1 2 0 0 0 0 2 0 1 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

817
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 1 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

818
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 1 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 1 0 1 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

819
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 1 2 1 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

820
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 0 2 0 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 1 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 1 2 1 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

821
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 0 2 0 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 0 0 2 0 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 1 1 1 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 1 1 1 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

822
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 0 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 0 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 1 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

823
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 1 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 1 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

824
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 0 1 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

825
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 2 0 0 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

826
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 1 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

827
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 1 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

828
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 2 0 1 2 1 1 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 0 1 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

829
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 0 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 1 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 1 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 2 0 0 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

830
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

831
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2 1 2 1 1 1 2 2 2 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 2 1 1 0 1 1 1 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 0 2 1 1 2 2 0 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

832
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

833
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

834
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

835
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 1 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 1 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

836
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 1 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 1 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

837
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 1 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

838
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 1 1 2 1 0 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

839
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 2 0 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 2 0 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 1 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

840
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 1 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 0 2 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 0 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

841
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 2 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 0 0 2 0 0 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

842
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 2 2 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

843
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 2 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 2 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 1 2 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 0 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

844
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 1 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 2 0 0 1 2 2 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

845
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 1 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 0 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

846
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 2 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 1 1 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 2 2 1 0 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

847
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 2 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

848
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 2 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

849
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 1 2 0 0 2 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

850
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 0 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

851
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 1 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 1 1 0 0 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

852
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 2 0 0 2 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 2 2 0 0 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

853
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 2 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 2 2 0 1 0 2 1 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

854
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 0 1 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 0 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 2 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 0 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

855
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 1 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 1 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 0 1 0 0 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

856
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 1 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 1 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 2 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 2 0 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

857
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 0 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

858
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 0 0 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

859
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 2 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 2 0 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

860
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 1 0 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

861
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 2 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

862
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 2 0 0 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

863
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 2 2 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 2 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 0 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

864
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 2 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 1 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 2 0 2 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 0 0 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

865
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 2 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

866
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 0 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 2 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

867
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 1 2 1 2 1 1 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 0 1 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

868
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 2 2 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 2 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

869
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 2 2 2 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 1 2 1 1 2 1 1 0 1 1 1 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 2 1 1 1 2 0 1 1 2 0 1 0 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 2 2 0 0 0 2 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 1 2 0 0 0 0 2 0 1 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

870
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 0 2 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 2 1 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 2 0 2 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 2 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

871
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 2 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 1 0 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 1 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

872
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 2 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 0 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 0 2 0 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

873
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 2 2 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 2 2 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 2 0 2 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 2 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

874
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 2 1 1 1 1 1 0 0 2 0 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 1 1 2 0 0 1 0 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 2 0 1 1 0 2 2 2 1 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 1 2 0 0 0 0 2 0 1 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

875
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 2 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

876
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 2 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

877
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 0 2 0 2 1 0 1 0 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 0 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

878
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 0 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 2 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 2 1 2 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 1 0 2 0 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

879
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 2 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 2 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

880
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 0 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

881
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 2 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 1 0 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 2 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

882
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 2 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 1 1 1 0 2 2 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 1 0 1 0 0 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

883
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 0 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

884
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 2 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 1 0 0 2 1 1 1 0 1 1 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

885
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 0 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 2 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

886
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 0 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

887
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

888
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 2 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 2 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 0 0 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 1 2 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

889
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 2 0 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 0 2 2 2 2 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

890
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 0 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

891
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 2 0 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 2 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 1 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 1 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

892
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 0 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 1 0 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

893
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 1 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 0 0 2 0 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

894
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 2 1 1 0 1 1 1 1 2 1 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 0 0 1 0 1 1 1 2 1 0 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

895
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 1 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

896
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 0 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 0 1 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

897
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 2 1 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 0 1 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

898
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 0 0 2 0 2 2 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

899
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 1 2 0 0 2 0 2 1 0 1 1 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 1 1 2 0 0 1 0 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 2 0 0 2 0 0 1 1 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 0 1 2 1 1 2 2 1 2 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

900
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 1 0 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

901
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 1 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 1 0 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

902
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 0 1 2 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

903
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 1 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 2 1 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

904
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

905
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 1 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 2 1 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

906
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 0 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 0 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 1 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

907
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 0 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 1 1 2 2 1 1 1 0 0 2 0 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 1 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 2 1 1 1 2 0 1 1 2 0 1 0 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 2 1 0 2 0 1 0 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 2 0 1 1 0 2 2 2 1 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 0 1 2 1 1 2 2 1 2 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

908
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 0 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

909
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 1 1 2 1 1 1 1 1 0 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 1 1 1 0 1 1 2 0 0 1 1 0 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 1 1 0 0 0 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 2 1 0 0 2 0 0 1 0 1 2 1 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 2 1 1 1 2 1 1 1 0 2 2 0 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 2 0 1 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 1 0 2 0 2 2 2 2 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 1 1 0 0 2 1 2 0 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

910
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 1 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 1 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 0 1 0 0 2 2 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 2 0 2 0 0 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

911
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 2 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 1 1 0 1 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

912
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 1 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 2 2 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 2 0 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

913
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 1 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 2 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 0 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

914
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 1 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 0 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

915
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 1 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 2 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 2 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

916
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 1 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 2 2 0 0 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

917
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 2 0 0 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

918
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 0 1 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 0 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 2 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

919
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 0 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 0 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 2 0 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 1 0 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

920
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 1 0 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 0 0 0 2 2 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

921
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 1 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2 0 0 0 1 1 2 2 2 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 2 0 0 2 0 0 1 1 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 1 2 0 0 0 0 2 0 1 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

922
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 2 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 0 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

923
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

924
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 1 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 2 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 2 0 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

925
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 1 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 2 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 2 0 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

926
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 2 1 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 2 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 0 2 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 0 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

927
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 1 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 2 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 0 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

928
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 1 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 1 2 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

929
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 1 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 2 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 0 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

930
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 0 2 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

931
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 2 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 2 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 1 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

932
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

933
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 2 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 0 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 0 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 2 1 0 2 2 1 1 1 2 1 0 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

934
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

935
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 2 1 2 2 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 2 1 1 0 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

936
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 2 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

937
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 0 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 0 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 2 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

938
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 2 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 1 2 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

939
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 2 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 2 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

940
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 0 0 0 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 2 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

941
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 1 2 2 2 1 0 2 0 2 1 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 2 2 0 0 0 2 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 1 2 0 2 1 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 2 0 1 1 0 2 2 2 1 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 0 1 2 1 1 2 2 1 2 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

942
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 2 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

943
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 2 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 0 2 0 1 2 0 2 0 0 0]
[0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 1 0 2 2 1 2 1 0 0 1 1 0 1]
[0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 2 1 1 0 2 2 1 2 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 1 0 2 0 2 1 2 2 0 2 0 2 0 2 1]
[0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 1 1 0 1 0 1 2 1 2 0 0 0 2 2 2]
[0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 2 2 1 2 0 2 0 0 1 1 2 0 1 2]
[0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 1 0 0 2 1 1 0 2 0 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

944
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

945
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

946
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 2 0 2 1 1 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 2 1 0 0 0 1 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

947
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 2 2 1 2 1 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

948
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 2 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 2 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 2 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

949
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 0 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 1 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 2 2 2 0 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

950
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 1 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 2 1 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

951
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 1 0 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 1 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

952
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 0 1 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 1 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

953
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2 2 1 1 1 1 2 0 1 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

954
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 1 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 1 1 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

955
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 1 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

956
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 2 2 0 1 1 2 2 2 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 2 0 0 0 1 1 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 1 1 2 0 0 1 0 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 0 2 1 1 2 2 0 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 2 0 0 2 0 0 1 1 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

957
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 0 1 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

958
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 2 1 1 2 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 1 1 0 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

959
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 1 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

960
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 0 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 2 2 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 1 2 0 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

961
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 1 1 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 0 1 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 0 2 2 1 2 1 1 1 2 1 0 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

962
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 0 1 1 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 0 1 1 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 2 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 1 0 0 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

963
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 1 1 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 1 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

964
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 0 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 0 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

965
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 2 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 1 0 0 0 2 0 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

966
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 1 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 1 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

967
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 1 1 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

968
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 0 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 0 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 1 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

969
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 0 2 2 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

970
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 1 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 1 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

971
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 1 1 0 1 2 1 0 1 0 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

972
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 1 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

973
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

974
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 0 2 2 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 0 1 2 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

975
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 1 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

976
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 2 1 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

977
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 1 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

978
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 0 2 1 1 0 1 2 0 1 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

979
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 2 2 2 1 2 0 0 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 0 1 2 2 2 0 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 1 1 0 0 0 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 2 2 1 1 0 0 0 0 2 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 1 0 2 2 0 0 1 1 1 0 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 1 0 2 0 1 1 2 2 1 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 2 2 0 0 1 0 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 0 1 1 0 1 2 0 2 0 0 2 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

980
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 2 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 2 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 1 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

981
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 1 0 1 2 1 0 1 0 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 0 2 1 0 1 0 1 0 2 1 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

982
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 1 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

983
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 0 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 0 1 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

984
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 0 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 0 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 2 1 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 1 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

985
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 1 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 2 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

986
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 2 2 2 0 1 2 1 0 1 0 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

987
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 1 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 0 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

988
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 0 1 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 0 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 2 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 0 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

989
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 1 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

990
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 1 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 1 0 2 0 1 2 1 0 1 0 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 1 1 0 0 1 0 1 0 2 1 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

991
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 1 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 0 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 1 2 2 2 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

992
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 2 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 2 2 2 1 1 2 0 2 1 0 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

993
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 1 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 0 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

994
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 1 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 0 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

995
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 1 2 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 1 0 2 1 1 2 0 2 1 0 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 2 1 0 2 1 2 1 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

996
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 1 1 2 1 2 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

997
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 2 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 0 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

998
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 2 2 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 0 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

999
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 1 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 1 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 2 2 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1000
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 0 1 1 1 2 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1001
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 2 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1002
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 2 1 0 0 2 1 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1003
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 1 0 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 2 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1004
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2 2 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1005
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 0 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1006
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 1 2 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1007
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 2 0 0 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 2 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1008
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 0 0 2 2 1 0 0 2 1 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 1 1 2 1 0 1 2 0 1 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1009
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 2 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 1 0 1 1 2 0 2 1 0 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 2 0 2 2 1 0 2 1 2 1 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1010
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 2 2 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 2 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 2 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1011
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 1 2 0 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1012
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 1 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 2 0 2 1 0 1 2 0 1 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1013
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 2 2 1 2 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 2 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1014
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 1 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 1 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 0 2 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 1 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1015
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 2 1 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 2 0 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 2 0 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 1 0 1 2 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1016
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1017
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 2 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1018
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 2 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1019
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 0 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 1 1 2 2 0 1 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1020
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 2 2 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1021
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 2 2 2 1 0 1 1 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 2 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1022
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 0 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 2 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1023
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 2 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1024
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 0 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1025
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 1 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 2 1 1 2 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1026
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 2 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 2 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 0 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1027
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 1 2 0 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1028
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 1 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1029
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 1 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 1 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1030
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 1 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 2 1 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1031
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 1 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1032
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 2 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 1 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 1 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1033
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 0 0 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 1 0 2 0 1 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 2 0 2 1 2 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1034
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 0 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 1 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1035
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 2 1 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1036
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 1 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 1 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1037
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 1 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1038
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 1 1 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1039
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 1 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 1 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1040
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 1 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1041
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 1 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 1 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1042
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 2 1 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 1 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1043
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2 1 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 1 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1044
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 0 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 1 0 0 2 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1045
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 1 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 1 2 1 0 0 1 2 0 1 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1046
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 1 1 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 1 1 1 2 1 0 1 1 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 2 1 1 1 2 0 1 1 2 0 1 0 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 2 2 0 0 0 2 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 2 1 0 2 0 1 0 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 0 1 2 1 1 2 2 1 2 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1047
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 1 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 0 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 2 1 1 2 1 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1048
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 2 1 0 0 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 0 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1049
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 1 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 1 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1050
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 2 1 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 2 1 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 2 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 0 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1051
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 2 0 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 0 0 0 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1052
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 1 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 1 0 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1053
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 2 2 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2 1 2 2 1 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1054
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 2 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1055
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 2 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 2 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 1 0 2 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1056
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 0 2 0 1 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1057
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0 1 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 1 1 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 2 1 1 0 0 1 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 0 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1058
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 0 1 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 0 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 2 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1059
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 0 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 2 2 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 0 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1060
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 1 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 1 2 2 1 1 2 1 2 2 0 0 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 2 0 0 1 1 1 0 0 0 0 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 1 1 1 0 1 1 2 0 0 1 1 0 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 2 0 2 1 1 1 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 1 0 2 2 0 0 1 1 1 0 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 2 0 1 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 1 0 2 0 2 2 2 2 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 1 1 0 0 2 1 2 0 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1061
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1062
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 1 2 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 2 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 1 2 2 1 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1063
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 1 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 1 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 2 2 2 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1064
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1065
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 1 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 0 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1066
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 1 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 1 2 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1067
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 2 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1068
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 1 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 2 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 0 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1069
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 2 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 0 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1070
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 2 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1071
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 1 1 2 0 1 1 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1072
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 1 1 2 1 0 0 2 2 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 2 2 0 0 0 2 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 1 1 2 0 0 1 0 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 2 0 1 1 0 2 2 2 1 0 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 1 0 1 2 2 1 2 0 1 2 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1073
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 2 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 1 1 1 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 2 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1074
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 2 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1075
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 2 2 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1076
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 2 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1077
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 0 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 2 2 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1078
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 2 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 0 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1079
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 2 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 2 2 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 0 2 1 0 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1080
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 2 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 2 0 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1081
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 0 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 1 2 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1082
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 2 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1083
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 2 0 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 2 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1084
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 2 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 2 0 1 1 0 2 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 0 1 1 2 2 0 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1085
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 2 0 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1086
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 2 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 0 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 2 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1087
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 1 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1088
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 1 0 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 1 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 1 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 1 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1089
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 0 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 0 0 0 0 2 0 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1090
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 1 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 1 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1091
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 1 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 2 1 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1092
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 1 0 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 0 2 2 2 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 0 1 0 1 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1093
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 2 0 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 1 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1094
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 1 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1095
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 0 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1096
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 2 0 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 1 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1097
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 2 0 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 1 1 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 1 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1098
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 2 1 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 1 1 2 2 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1099
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 1 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 1 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1100
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 0 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 1 0 0 0 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 1 2 2 2 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1101
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 0 0 2 2 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 2 1 2 0 0 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 0 1 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1102
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 0 2 2 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 0 2 2 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 1 0 2 2 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1103
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 1 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1104
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 0 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 0 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1105
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 1 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1106
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 0 2 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1107
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1108
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 0 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1109
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 0 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1110
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 1 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1111
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 0 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1112
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1113
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 1 1 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1114
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 0 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1115
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1116
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 1 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 0 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1117
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 2 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 2 0 2 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1118
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 0 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 1 1 1 2 0 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1119
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 2 0 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1120
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 2 0 2 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1121
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 1 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 2 2 1 2 2 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1122
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 1 2 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 0 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1123
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 1 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 1 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1124
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 1 1 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 1 2 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 1 1 1 0 2 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 0 1 2 2 0 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1125
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 0 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 2 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1126
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 0 2 0 0 2 0 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1127
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 0 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 1 2 2 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1128
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 2 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1129
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 1 2 0 0 1 1 0 2 1 1 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 1 2 2 1 2 0 2 2 1 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1130
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 2 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1131
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 1 0 2 0 0 2 0 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1132
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1133
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 2 2 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1134
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 2 2 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1135
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 2 0 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1136
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 2 0 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 0 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1137
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 2 0 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 1 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 1 1 1 2 0 0 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1138
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1139
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 2 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 2 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1140
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 0 2 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 0 0 2 2 0 2 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1141
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 0 2 2 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1142
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 0 2 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1143
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 2 2 1 2 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1144
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 1 0 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1145
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 1 1 1 2 0 0 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 1 0 1 1 2 2 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1146
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 2 2 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1147
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 0 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1148
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 0 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1149
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 2 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 2 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1150
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 2 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 2 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 2 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1151
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 2 0 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 0 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 1 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 2 0 2 2 2 1 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1152
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1153
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1154
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 2 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 0 2 0 0 0 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 1 1 0 0 2 2 0 0 2 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1155
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1156
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 0 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 1 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 1 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1157
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 0 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 2 1 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1158
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 1 1 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 1 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1159
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 1 1 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1160
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 1 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1161
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 1 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 1 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1162
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 1 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1163
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 1 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1164
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 0 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 1 0 2 2 2 2 2 0 0 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 0 1 2 2 2 0 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 2 1 2 1 1 2 0 1 1 0 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 2 1 2 2 2 0 1 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 2 2 1 1 0 0 0 0 2 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 2 0 1 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 1 0 2 0 2 2 2 2 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 1 1 0 0 2 1 2 0 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1165
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 2 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 0 0 0 1 0 2 2 2 2 2 1 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1166
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1167
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 1 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 1 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1168
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 2 1 0 2 1 1 1 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 2 1 1 1 2 0 1 1 2 0 1 0 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 2 1 0 2 0 1 0 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 2 0 0 2 0 0 1 1 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 1 2 0 0 0 0 2 0 1 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1169
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 1 1 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 1 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1170
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 0 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 1 1 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1171
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 0 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 1 0 2 0 2 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1172
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 2 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1173
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 0 1 1 2 0 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1174
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1175
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 2 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 0 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1176
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 0 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1177
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 2 1 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 1 0 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 2 1 2 0 2 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 2 1 1 2 0 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1178
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 0 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 0 1 2 1 2 2 1 1 2 1 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 2 0 0 2 0 0 1 2 1 0 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 2 2 2 0 0 1 0 1 2 0 1 0 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1179
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 1 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 2 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1180
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 1 2 1 0 2 1 1 1 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 2 0 0 1 2 0 2 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 1 1 0 0 1 0 0 2 2 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 2 1 1 2 1 1 1 1 0 1 1 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 2 1 2 0 0 1 1 1 0 0 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 2 0 0 2 0 0 1 1 1 1 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 2 0 2 0 1 1 2 0 2 1 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1181
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 2 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1182
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 1 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 2 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1183
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 2 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1184
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 2 2 0 2 1 2 2 1 2 1 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 2 2 2 2 0 0 0 2 0 1 1 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 2 2 0 1 0 2 2 0 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1185
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 2 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1186
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 0 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 2 2 0 0 2 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 2 1 0 0 0 0 2 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1187
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 0 2 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1188
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 1 1 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 2 2 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1189
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 1 1 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 1 1 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 2 2 1 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 0 0 1 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1190
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 1 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 0 1 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1191
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 1 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 0 1 0 0 2 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1192
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 1 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 1 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 2 2 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 0 0 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1193
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 0 1 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 0 1 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 2 2 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1194
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 1 1 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 1 1 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 1 1 0 0 2 2 0 2 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1195
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 1 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 1 1 0 2 0 0 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1196
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 1 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 1 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 2 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1197
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 1 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 1 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 2 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 0 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1198
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 1 2 0 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1199
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 0 0 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 2 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1200
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 2 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 2 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 2 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1201
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 2 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 2 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 1 0 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 2 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1202
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 0 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1203
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 2 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 1 2 2 2 1 1 0 2 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1204
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 2 1 2 0 0 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1205
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 2 1 0 0 0 0 1 1 2 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 2 1 0 2 2 2 2 2 2 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1206
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 2 2 2 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1207
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 2 1 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 1 0 1 2 0 0 1 2 1 2 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 2 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1208
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 0 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 1 2 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1209
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 2 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1210
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 0 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 2 2 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1211
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 0 2 0 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1212
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 0 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 0 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 2 0 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1213
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1214
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 2 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1215
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 0 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1216
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 2 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 2 1 2 2 2 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 2 1 0 2 2 0 1 1 1 2 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 2 1 2 2 0 2 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1217
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 0 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 0 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 1 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 2 1 1 2 1 1 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1218
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 0 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 2 0 2 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 2 0 2 0 2 0 0 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 2 1 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 0 0 2 0 0 1 1 2 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 1 0 2 0 0 1 1 0 0 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1219
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 0 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 1 0 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 1 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1220
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 1 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1221
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 1 1 1 0 1 0 1 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 1 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 0 0 0 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1222
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 1 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 2 0 0 0 2 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 2 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 2 2 0 1 0 2 1 2 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1223
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 0 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 0 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 1 1 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 1 0 2 1 1 1 0 2 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 1 2 2 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 2 2 0 2 0 1 1 1 0 0 2 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1224
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 0 2 2 0 1 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 0 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 0 0 1 1 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 2 1 1 2 1 0 0 0 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 2 1 1 0 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 1 0 1 1 2 1 1 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2 2 1 1 0 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 2 2 0 1 2 2 1 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 1 1 2 1 0 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 1 1 2 1 0 0 0 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 0 2 1 2 1 2 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 2 2 0 0 1 1 1 2 0 1 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1225
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 1 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 1 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 2 1 2 0 1 2 0 0 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 1 2 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 1 2 2 0 2 1 1 1 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 0 1 1 0 0 1 2 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1 2 0 2 2 2 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 2 0 1 0 0 2 2 2 2 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 1 0 2 1 1 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 0 2 1 0 2 1 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 1 1 0 2 2 1 0 2 2 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 1 0 1 0 0 2 0 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1226
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 2 1 0 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 2 0 2 1 0 0 2 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 1 0 0 2 1 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 2 1 0 1 1 2 1 1 2 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 2 1 2 2 1 0 1 1 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 2 1 1 2 0 1 2 2 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 2 0 0 2 2 0 1 0 2 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 2 1 2 1 1 0 0 2 2 0 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1227
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 1 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 1 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 0 0 2 1 1 0 0 0 1 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1228
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 1 0 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 0 0 2 1 1 0 0 0 1 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1229
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 0 2 0 0 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 0 0 0 2 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1230
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 2 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 0 0 2 1 1 0 0 0 1 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1231
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 1 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 0 0 2 1 1 0 0 0 1 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1232
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 2 2 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1233
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 2 0 0 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 1 2 1 1 1 2 2 1 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 2 1 1 2 0 1 1 1 0 2 1 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 1 1 2 2 1 0 2 2 0 0 1 0 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 2 2 1 0 1 2 0 2 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1234
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 0 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1235
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 1 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1236
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 1 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1237
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 1 0 2 0 0 0 1 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 1 2 2 1 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1238
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 2 0 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 2 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1239
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 0 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 0 0 2 1 1 0 0 0 1 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1240
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 1 0 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 0 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 0 0 2 1 1 0 0 0 1 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1241
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 1 1 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 2 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1242
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 0 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1243
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 1 1 2 1 1 2 1 1 2 1 1 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 1 0 0 2 0 0 2 2 0 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 1 0 0 1 0 1 0 2 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 2 0 0 2 2 0 1 0 2 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1244
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1245
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 2 1 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 0 1 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1246
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 1 0 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 0 2 1 0 0 2 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 1 1 0 2 0 1 1 0 1 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 1 0 0 1 1 1 0 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1247
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 2 0 2 1 0 0 2 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 2 2 1 0 0 0 2 1 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 1 0 1 0 0 2 0 1 1 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 1 1 0 2 1 0 2 1 1 1 1 2 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1248
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 0 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1249
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1250
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 2 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1251
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1252
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 2 1 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1253
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1254
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1255
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 1 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1256
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 1 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 0 1 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 2 1 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1257
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 1 0 0 2 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 1 0 1 0 0 2 0 1 1 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 1 0 2 2 0 1 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 2 2 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 2 2 2 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1258
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 1 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 1 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 0 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1259
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 0 2 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 0 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1260
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 1 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 0 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 1 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 0 2 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1261
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 1 0 2 0 0 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 2 1 1 2 1 1 0 1 2 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 2 0 2 2 2 1 0 1 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 2 0 0 1 2 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 1 1 2 2 1 2 0 2 2 2 2 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 1 0 2 2 2 1 2 2 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1262
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 1 2 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 2 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1263
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 1 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 2 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1264
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 1 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 0 0 2 1 1 0 0 0 1 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1265
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 2 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 1 0 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1266
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 1 1 2 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 1 0 1 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 2 0 2 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 2 2 1 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 0 1 1 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 1 0 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1267
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 0 1 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1268
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 0 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0 0 2 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 0 1 0 2 1 2 2 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1269
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 1 2 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 2 2 1 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 1 2 0 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 2 1 2 2 1 2 2 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 0 1 1 2 2 1 1 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 1 2 2 0 2 0 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 2 0 2 0 0 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1270
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 0 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 2 0 0 2 0 2 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 1 2 0 2 0 2 1 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 2 0 1 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 2 0 2 0 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1271
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 2 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 0 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 2 1 0 2 0 0 1 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 0 2 1 1 2 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 1 1 2 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 1 1 0 1 1 2 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 1 2 2 2 2 2 1 2 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 2 0 2 2 0 1 0 1 2 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 1 1 1 2 2 1 0 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1272
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 2 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 1 0 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 1 2 2 0 1 2 0 1 2 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 2 1 0 2 1 0 0 1 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2 2 2 0 1 0 2 2 2 2 1 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 0 0 2 1 1 0 0 0 1 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 2 1 0 0 0 2 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 1 1 1 1 1 2 0 2 2 2 2 1]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1273
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 2 0 2 1 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 2 1 0 2 1 2 2 2 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 1 0 0 2 1 0 0 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 0 1 0 1 1 1 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 1 0 1 2 1 2 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 0 0 0 2 1 2 2 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 2 0 1 2 2 1 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 2 0 2 0 1 0 2 2 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 2 0 2 0 1 2 1 1 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 2 0 0 2 0 1 2 2 1 2 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1274
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 2 1 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 2 0 2 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 0 2 2 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 1 1 2 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 0 2 1 0 0 2 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 0 1 0 0 1 1 2 2 1 0 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 2 0 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 2 0 2 2 1 2 1 0 2 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 1 1 1 1 2 1 2 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 2 1 1 0 2 2 1 1 0 0 1 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 0 2 0 1 0 1 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 1 1 2 2 2 2 2 2 0 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 2 2 1 1 1 0 1 2 2 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0 0 1 1 1 1 2 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 2 1 1 1 0 0 1 2 1 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 1 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 0 2 2 0 1 2 2 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1275
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 2 1 0 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 2 0 2 1 0 0 0 0 0 0]
[0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 2 1 0 0 0 0 0 0]
[2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 1 0 0 0 0]
[2 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1]
[1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 1 2 2 2 1 2]
[2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 1 1 2 2 2 1]
[0 0 0 0 2 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 1 1 2 2 2]
[2 2 1 0 1 2 0 2 0 0 0 0 1 0 0 0 0 0 0 0 2 2 1 2 0 1 2 1 1 1 2 2]
[1 0 1 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2 0 1 2 1 1 1 2]
[0 0 0 0 2 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 1 2 0 1 2 1 1 1]
[1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 2 1 2 2 2 1 2 0 1 2 1 1]
[2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 1 2 2 2 1 2 0 1 2 1]
[0 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 1 1 2 2 2 1 2 0 1 2]
[1 1 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2 1 2 0 1]
[1 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 1 2 2 2 1 2 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 1 0 2 0 0 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1 2 0 1 2 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 2 1 1 0 2 1 2 1 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 2 2 2 2 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2 2 1 0 0 1 1 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 1 0 1 2 0 1 0 2 2 0 0 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 1 1 1 0 2 0 2 2 2 2 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 1 2 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 2 0 0 1 1 0 1 1 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 2 2 1 2 0 0 1 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2 0 0 0 2 0 2 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2 1 2 1 2 0 2 0 1 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 2 2 0 2 1 2 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 2 1 1 1 0 0 2 0 2]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

1276   // Harada's code
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 2 0 0 1 0 2 2 1 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 1 0 1 2 0 1 2 2 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 2 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 2 1 2 1 2 2 2 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 0 0 1 0 2 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 1 2 1 2 2 2 2 2 2 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 0 2 1 2 1 2 0 2 2 2 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 0 0 2 0 2 2 2 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 2 2 1 0 2 1 2 2 2 1 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 2 1 2 2 2 2 0 0 1 2 1 2 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 0 0 2 0 1 2 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 2 0 2 0 0 0 0 2 1 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 2 2 2 2 0 2 2 1 2 1 0 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 2 2 2 2 0 1 2 1 0 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 2 2 2 1 1 0 2 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 1 1 2 0 0 0 1 2 1 0]
true
[32, 16, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 2 0 0 1 0 2 2 1 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 1 0 1 2 0 1 2 2 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 2 0 1 0 2 0 2 0 2 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 2 1 2 1 2 2 2 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 0 0 1 0 2 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 1 2 1 2 2 2 2 2 2 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 0 2 1 2 1 2 0 2 2 2 2 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 1 2 1 2 0 0 2 0 2 2 2 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 1 2 2 2 1 0 2 1 2 2 2 1 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 2 1 2 2 2 2 0 0 1 2 1 2 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 0 0 2 0 1 2 2 2 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 2 0 2 0 0 0 0 2 1 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 2 2 2 2 0 2 2 1 2 1 0 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 2 2 2 2 2 0 1 2 1 0 1 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 2 2 2 1 1 0 2 2 2 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 2 1 1 2 0 0 0 1 2 1 0]
[ <0, 1>, <9, 960>, <12, 64512>, <15, 1292544>, <18, 8610240>, <21, 18861696>, 
<24, 12294720>, <27, 1885184>, <30, 36864> ]
Permutation group acting on a set of cardinality 64
Order = 2
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 
        22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 
        40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 
        58)(59, 60)(61, 62)(63, 64)

No of Codes after equivalence: 946
by J.-L. Kim

Total time: 3841.809 seconds, Total memory usage: 131.13MB