The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 X 1 1 1 1 1 0 X 0 1 1 0 1 1 1 X X 1 X 1 1 X 1 X 1 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 1 0 0 1 1 0 1 0 1 1 X 0 1 1 X 1 0 X 0 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 1 X+1 1 0 0 X+1 X+1 1 X 1 0 X+1 1 X+1 1 0 X+1 X X+1 1 1 1 1 X X+1 1 1 0 X 1 1 0 1 X+1 0 1 X 1 1 X+1 1 0 1 X 1 0 0 X+1 0 1 0 1 1 X+1 X X+1 1 1 0 X 1 0 1 0 1 1 1 X X X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X X 0 0 X 0 X X 0 X X X X 0 0 0 X 0 0 X X X X X 0 0 X X 0 X 0 X 0 X X 0 0 0 0 0 0 0 X 0 X X X 0 X 0 X 0 X 0 X 0 0 0 0 X X 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 X X X X 0 X X 0 0 0 0 X 0 X X X 0 X X 0 0 0 0 X 0 X X X 0 0 0 0 X 0 X 0 X 0 X 0 0 X X X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X 0 0 X X 0 0 X 0 X X 0 0 0 X X X 0 0 X X 0 0 X X X X X X 0 0 0 X 0 0 0 X X 0 0 0 X X 0 0 X 0 0 X 0 X X X X 0 0 0 X X X 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X X X X X 0 X X X X 0 0 X X X 0 0 0 0 0 X X X 0 0 0 0 X 0 0 X 0 X 0 0 0 X X X X 0 X 0 0 0 0 X X X X 0 0 0 X 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 0 0 X X X 0 0 X X 0 0 X X X 0 X 0 0 0 0 0 X X 0 X 0 X 0 0 X X X 0 X X 0 X X X 0 X X X X 0 X 0 0 0 X X 0 X X 0 X 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X 0 0 X 0 0 X X X X 0 0 0 0 X X X X 0 0 X 0 0 X X X 0 0 0 0 0 X X 0 X 0 0 0 0 X X X X X X 0 X 0 X 0 0 X 0 0 X X 0 X X 0 X X X 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 X X X 0 0 X X X X X 0 X X X X 0 0 X X X 0 0 0 0 0 0 0 0 X X X X 0 X X 0 X 0 X X X 0 X 0 X X 0 X X X X 0 0 0 X X X X 0 X 0 0 0 0 X X X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 X X X 0 X X X 0 X X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 X X X 0 0 X X 0 0 0 0 0 0 X X X X 0 0 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 X X X 0 X 0 0 X X X 0 X 0 0 0 X 0 X 0 X 0 X X X 0 X X X X 0 0 0 X X 0 0 X X 0 0 0 X 0 X 0 X 0 0 X 0 X 0 X X 0 X 0 0 X X 0 X 0 X 0 0 X X 0 generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+214x^76+126x^78+499x^80+334x^82+828x^84+708x^86+1088x^88+756x^90+1053x^92+662x^94+746x^96+374x^98+417x^100+104x^102+163x^104+8x^106+73x^108+30x^112+7x^116+1x^120 The gray image is a linear code over GF(2) with n=180, k=13 and d=76. This code was found by Heurico 1.16 in 66.8 seconds.