The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X 0 X X 0 0 0 X X 0 X X 0 0 X X X 0 X 0 X X X X X 0 X 0 X 0 0 X X 0 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 X X 0 X 0 0 X X 0 X 0 X X X 0 X 0 0 0 X X 0 X X X 0 0 X 0 X 0 X 0 X X X 0 X X 0 0 X X 0 X X 0 0 X X X X 0 X 0 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X X 0 0 0 X X X X X X 0 0 0 X 0 X X 0 0 X 0 X X 0 X X X 0 X X 0 0 0 X 0 0 0 X 0 X X 0 X 0 X X X 0 0 X X 0 0 X X X 0 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X 0 0 0 0 X 0 X 0 X X X 0 X 0 X 0 0 X 0 X X 0 0 0 X X 0 X X X 0 X X 0 X 0 0 0 X 0 X 0 X X X 0 0 0 X X 0 X 0 X 0 X 0 0 X 0 X X X 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 X X 0 X 0 X X 0 X X 0 X X 0 0 0 X X X 0 0 X X 0 0 X 0 X 0 X X 0 X 0 X 0 X X 0 X 0 X 0 0 0 X X 0 X X X X 0 0 0 0 0 0 X 0 X X X 0 0 0 0 X X 0 0 0 0 0 X X 0 X X X 0 0 X 0 X X X 0 X 0 0 X X X 0 0 X 0 0 X X 0 X X 0 0 0 X X 0 0 X 0 0 0 X X X X X X 0 0 X 0 X X X X 0 0 X X X X 0 X X 0 0 0 0 0 0 0 0 X X 0 X X 0 X X X 0 0 0 0 0 0 X 0 X 0 0 X X 0 X X 0 0 X 0 X X 0 X 0 X 0 X X X X X X X 0 0 X 0 X 0 X X X 0 0 0 0 X 0 X 0 0 0 0 0 0 X X X X 0 X 0 X X 0 0 0 X 0 0 generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+65x^80+88x^84+96x^86+143x^88+32x^90+52x^92+30x^96+4x^100+1x^168 The gray image is a linear code over GF(2) with n=174, k=9 and d=80. This code was found by Heurico 1.16 in 0.239 seconds.