[68,34,18] SELF-DUAL CODES OVER GF(5)



NAME

C5_68

MINIMUM DISTANCE

18

WEIGHT ENUMERATOR

AUTOMORPHISM GROUP ORDER

COMMENTS AND REFERENCES

This code is obtained from the construction (f1;1,20).

GENERATOR MATRIX

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



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


gaborit@unilim.fr