[56,28,16] SELF-DUAL CODES OVER GF(7)



NAME

C7_56

MINIMUM DISTANCE

16

WEIGHT ENUMERATOR

AUTOMORPHISM GROUP ORDER

COMMENTS AND REFERENCES

This code is obtained from the construction (f1;1,10).

GENERATOR MATRIX

[ 5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,
0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,
2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,
1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,
3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,
2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,
6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,
1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,
3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,
6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,
0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0]



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


gaborit@unilim.fr