The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 0 1 X 1 1 1 X 1 1 1 1 1 1 X X 1 1 1 1 1 0 0 0 1 1 0 1 1 0 X+1 1 0 X+1 1 1 X X+1 X+1 1 X+1 0 1 X+1 1 0 X X+1 1 0 0 X X 1 X+1 0 1 X+1 1 X X+1 0 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 X X X X X X X X X 0 X 0 X X 0 0 X X 0 0 X 0 X X 0 0 X 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 X X 0 X X 0 0 0 0 X X 0 0 X X 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 0 0 0 0 X X 0 X X X X 0 X X 0 0 X X 0 0 0 0 0 X 0 X X 0 X 0 0 0 0 0 X X X X X 0 X X X X X 0 X X X X 0 0 0 X 0 X X 0 X 0 0 0 0 0 0 X X 0 X X X X 0 X X 0 0 0 X X 0 X 0 0 X X X X 0 0 0 0 X 0 0 X 0 0 0 X generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+141x^36+176x^40+127x^44+53x^48+11x^52+2x^56+1x^60 The gray image is a linear code over GF(2) with n=82, k=9 and d=36. This code was found by Heurico 1.16 in 0.032 seconds.