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 X X X X 0 X X X 1 1 1 X 1 1 1 1 X X X 1 1 X 1 0 X 0 1 X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X X 0 X 0 X 0 0 X X X X 0 X X X X 0 X X 0 X X X 0 X 0 0 X 0 X 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X X X X 0 X 0 X X X 0 X 0 0 0 X 0 0 0 X X 0 0 X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X 0 0 X X X 0 0 X 0 X X X X X 0 0 X X X X X 0 X X 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 0 0 X 0 0 0 X X X 0 0 X X 0 0 X 0 0 X X X X 0 0 0 0 0 X X 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X X X X X 0 X 0 0 X 0 0 0 X 0 0 X X X X X 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X X X 0 X 0 X X 0 X 0 X X 0 0 0 X X 0 X X X X 0 X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 0 X X X 0 0 X X X 0 0 X X X X X X 0 0 X X 0 X 0 X X 0 0 X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 X X X X 0 0 0 X 0 X 0 0 0 X X X 0 0 X X X X 0 X 0 0 X X X 0 X X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 X 0 X 0 X 0 X X 0 0 X X X X 0 0 0 0 0 0 X X 0 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 0 X X X 0 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+78x^52+2x^54+174x^56+54x^58+275x^60+156x^62+355x^64+180x^66+309x^68+98x^70+179x^72+22x^74+95x^76+55x^80+9x^84+3x^88+2x^92+1x^96 The gray image is a linear code over GF(2) with n=130, k=11 and d=52. This code was found by Heurico 1.16 in 0.987 seconds.