The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X X^2 1 1 X 1 1 1 1 0 1 1 X^2+X 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X X X X X 1 1 0 1 0 X^2 X^2+X X^2 X X^2+X X^2 X X^2 0 X^2 0 X^2 X^2+X 1 X^2+X X X^2+X 1 1 X X 1 1 X 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X 1 X^2+1 X+1 0 1 X^2+X X^2+1 1 X^2 X^2+X+1 1 X X^2+1 1 1 0 X+1 1 X^2+X X^2+1 0 X+1 1 X^2+X X^2+1 1 0 1 X+1 X^2+X X^2+1 1 X^2 X^2+X+1 1 X 1 1 0 X^2 X^2+X X X+1 X^2+X+1 X 1 X 1 1 1 1 1 1 1 1 1 1 X 1 1 X^2+1 1 X^2+X 1 1 X^2+1 0 X^2 1 X^2+X+1 X 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 generates a code of length 82 over Z2[X]/(X^3) who�s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+6x^76+90x^77+113x^78+106x^79+96x^80+88x^81+114x^82+74x^83+69x^84+54x^85+86x^86+64x^87+11x^88+20x^89+5x^90+10x^91+8x^92+4x^93+1x^94+2x^95+1x^108+1x^138 The gray image is a linear code over GF(2) with n=328, k=10 and d=152. This code was found by Heurico 1.16 in 0.354 seconds.