[70,35,18] SELF-DUAL CODES OVER GF(5)



NAME

C5_70

MINIMUM DISTANCE

18

WEIGHT ENUMERATOR

AUTOMORPHISM GROUP ORDER

COMMENTS AND REFERENCES

This code is obtained from the construction (f1;1,17).

GENERATOR MATRIX

[ 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,
2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,
3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,
4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,
0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,
2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,
2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,
0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,
0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,
0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,
4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,
3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,
3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,
4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,
0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,
0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,
3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,
0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,0,4,0,2,4,0,3,1,3,1,4,0,0,0,0,0,0,2,2,4,2,4,0,2,4,0,3,0,2,4,1,0]



Main | GF(2) | GF(3) | GF(4) euclidian | GF(4) hermitian | GF(5) | GF(7)


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