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 X X X X X X X X X 0 X 1 X X X X 1 1 1 0 0 1 1 X 0 1 1 0 X 0 1 1 1 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X 0 0 X 0 0 X X X 0 X X X X X 0 X X 0 X X X 0 X 0 X 0 X 0 X 0 X 0 X 0 X X 0 0 X X X 0 X 0 X X 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 X X X 0 X 0 X 0 X X X X 0 0 0 X 0 0 X X X X X 0 X 0 0 0 X 0 X X X 0 X 0 0 0 X 0 X X X 0 X X 0 0 0 0 X 0 0 X X 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 0 X 0 X X X 0 X X 0 0 X X 0 0 0 X 0 0 X 0 X X 0 X 0 0 0 X 0 X 0 X 0 X 0 0 X X 0 X 0 X X X X X 0 X X 0 0 0 X X 0 X X 0 X X 0 X X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X 0 X X 0 0 X 0 X 0 X 0 X 0 X X 0 0 0 X X X X X 0 0 X X X X 0 X X 0 X X 0 0 0 X 0 X 0 X 0 X X 0 X X X X 0 X 0 0 0 X 0 0 X 0 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X 0 0 0 X X X X X X X X 0 X 0 X 0 0 X 0 0 X X X X 0 0 X X 0 0 0 X X X 0 0 0 X 0 X X X X 0 0 X 0 X 0 0 X 0 X X 0 X 0 0 X 0 0 X X 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X X 0 0 0 X 0 X X 0 X 0 X X X X 0 X X X X X X 0 0 X X 0 X X X X X 0 0 0 0 X X 0 X 0 0 X 0 X X 0 X 0 X X 0 0 0 0 X X 0 X X X X X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 X 0 0 0 0 X X X 0 X X 0 X 0 0 0 X 0 0 0 X X X 0 X 0 X X X X 0 0 X X X X X 0 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 X X 0 X X X 0 X 0 0 0 0 X X 0 X X 0 X X X X 0 0 X 0 X 0 X 0 0 X 0 X 0 0 X 0 0 X 0 0 X X X X 0 0 X 0 0 0 X 0 0 X 0 X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 X X 0 0 X X 0 X 0 X 0 X 0 X X X X 0 0 0 0 X X 0 0 X 0 0 0 X X X X X X 0 0 0 X 0 0 X X X 0 0 X 0 0 X X X X 0 0 X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X X 0 X X X X X 0 0 X 0 0 X 0 X 0 0 0 0 0 X 0 X X 0 X X 0 0 0 X 0 0 X 0 X 0 0 0 0 0 X X 0 0 X X 0 X 0 X X X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 X X X X 0 0 0 0 X 0 0 0 X 0 0 X 0 X X 0 0 X X X X 0 X 0 0 X 0 X 0 X 0 0 0 0 X X X X X 0 0 X X X X 0 X X X X 0 0 X 0 X 0 0 0 0 0 0 generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+179x^80+2x^82+449x^84+62x^86+655x^88+230x^90+944x^92+546x^94+1192x^96+670x^98+1084x^100+402x^102+765x^104+122x^106+450x^108+14x^110+276x^112+102x^116+36x^120+10x^124+1x^148 The gray image is a linear code over GF(2) with n=194, k=13 and d=80. This code was found by Heurico 1.16 in 55.3 seconds.