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 X X X X X X X X X 1 0 X X X X 1 X X X X X 1 1 1 0 X 0 0 1 0 1 0 0 1 X X 1 1 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 X 0 0 0 X X X 0 X X X 0 X 0 0 0 X 0 X 0 X X X X X 0 X 0 X 0 X X 0 0 0 0 X X X X 0 X 0 0 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 X 0 X X X 0 0 0 0 0 X X X X X X 0 X X X X 0 X X X X X 0 0 X X X X X 0 0 X 0 X 0 X 0 X 0 X 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 0 X X X X 0 X X X 0 0 0 0 X 0 0 0 X X X 0 X X 0 X 0 0 0 X X X X 0 X X X X X X X X 0 X 0 0 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 X 0 X 0 X X 0 0 0 X X X 0 X 0 X 0 0 X 0 0 X X 0 X 0 X X 0 0 0 0 X 0 0 X 0 X X X 0 0 X X 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 0 0 0 X X X 0 X X X 0 X 0 0 0 0 X X 0 X X 0 0 X 0 0 0 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 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 0 0 0 X 0 X X 0 X X 0 X 0 X 0 0 X X X 0 0 0 X 0 0 X 0 X 0 X 0 X X 0 0 X X 0 X X 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 0 X X 0 0 X X 0 0 X X 0 X X 0 X X 0 0 0 X 0 X X X 0 0 0 X 0 X X X X 0 0 X X 0 X X 0 X X 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 X 0 X X 0 0 0 X 0 0 0 0 0 0 X X 0 0 0 X 0 0 X X X X 0 X 0 0 0 0 X 0 0 0 X X 0 X X 0 0 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 0 0 0 X X X X X X X X X X 0 0 X X 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X X X 0 X 0 0 X X 0 0 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 X 0 X 0 X X 0 X 0 0 X 0 X X X 0 X 0 X X 0 0 0 0 0 0 X 0 X X 0 0 X 0 0 0 0 X 0 X X X X 0 X 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 0 0 X 0 0 0 0 0 X 0 X X 0 0 X 0 X X X 0 0 X 0 X X X 0 X 0 0 X X X 0 0 0 X X X 0 0 X generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+114x^80+2x^82+402x^84+50x^86+614x^88+200x^90+866x^92+494x^94+1106x^96+560x^98+1124x^100+494x^102+870x^104+192x^106+521x^108+50x^110+304x^112+6x^114+146x^116+60x^120+12x^124+3x^128+1x^140 The gray image is a linear code over GF(2) with n=196, k=13 and d=80. This code was found by Heurico 1.16 in 53.6 seconds.