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 X 1 1 1 1 1 X 1 X X 1 X 1 1 1 1 X 1 1 X 1 1 0 X 0 0 0 0 0 0 0 0 X X 0 0 0 X 0 0 0 0 X X X X 0 X X 0 X X X 0 X 0 0 0 X X X 0 X 0 0 X 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X X X 0 X 0 X 0 X 0 X X X X X X 0 X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X 0 X X 0 0 0 0 0 X 0 X 0 X X X 0 X 0 0 0 X X 0 X 0 X 0 0 X X 0 0 X 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 0 X X 0 0 0 X X X X 0 0 0 X 0 0 0 X X 0 0 X X X X 0 X X X X 0 0 X 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X X 0 0 0 0 X X 0 0 X X X 0 X X X 0 X 0 X X X X X X X X X 0 0 X X 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 0 X 0 0 X 0 X 0 X 0 X 0 X 0 0 X 0 0 X X X X 0 0 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 X 0 0 X X 0 0 0 X X X 0 0 0 X X X 0 X 0 0 0 0 0 X 0 X X X 0 X X generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+22x^42+2x^43+37x^44+14x^45+40x^46+42x^47+35x^48+70x^49+21x^50+70x^51+18x^52+42x^53+23x^54+14x^55+22x^56+2x^57+12x^58+9x^60+8x^62+6x^64+1x^66+1x^86 The gray image is a linear code over GF(2) with n=100, k=9 and d=42. This code was found by Heurico 1.16 in 0.047 seconds.