The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 X 1 1 X 1 1 0 1 1 X 1 1 0 0 1 1 0 1 1 0 X+1 1 0 1 X+1 1 0 1 0 X+1 1 0 X+1 1 0 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 0 X+1 1 0 X+1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 0 X+1 1 X 1 1 0 X+1 1 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X 0 X X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X 0 0 X X X 0 0 0 0 X 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X X X X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 X X 0 X X 0 X X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 X 0 X X 0 0 X 0 0 0 X X 0 0 0 0 0 X X X X X 0 0 X X X 0 X 0 0 0 0 X X X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 0 X X 0 X X X 0 0 X 0 0 0 X X 0 X X X 0 0 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 X 0 0 0 X X generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+141x^92+96x^94+15x^96+3x^124 The gray image is a linear code over GF(2) with n=186, k=8 and d=92. As d=92 is an upper bound for linear (186,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 0.178 seconds.