[68,34,15] SELF-DUAL CODE OVER GF(3)



NAME

C3_68

MINIMUM DISTANCE

15

WEIGHT ENUMERATOR

AUTOMORPHISM GROUP ORDER

COMMENTS AND REFERENCES

This code is obtained from the construction (f2;3,4).

GENERATOR MATRIX

[ 0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,
0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,
0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,
0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,
0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,
0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,
0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,
0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,
0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,
0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,
0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,
0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,
1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,
2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,
1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,
1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,
1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,
2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,
1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,
1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,
0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,
0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,
0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,
0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,
0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,
0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,
0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,
2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,
1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,
0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,
0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,
1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,
2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,
0,1,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0]



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


gaborit@unilim.fr