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 X 1 1 1 1 X 1 1 0 X 0 0 0 0 0 0 0 X X X X 0 0 0 0 X X 0 0 X X 0 X X 0 0 X 0 0 0 0 0 0 X X X X X X 0 X X X 0 0 X 0 0 0 0 0 X X X 0 X 0 X 0 X X 0 0 0 0 0 X X 0 0 X X 0 X X 0 X X X X X 0 0 0 0 X X 0 0 0 0 X 0 0 0 0 X 0 X X X 0 0 X X 0 0 0 X X 0 X 0 0 X X 0 0 X X X 0 0 0 0 X X 0 X X 0 X 0 0 0 0 0 X 0 0 0 X X 0 X 0 X 0 X 0 0 X X X 0 0 0 X X 0 0 X X 0 X X X 0 0 0 0 X X X 0 0 X 0 0 0 0 0 0 X 0 X 0 0 X X 0 X 0 0 X 0 X X X 0 0 X X 0 X 0 0 0 0 0 X X X 0 X X X 0 0 X 0 0 X 0 0 0 0 0 0 X X 0 0 0 X X 0 X 0 X X 0 X 0 0 X 0 0 X 0 X X X 0 X X X 0 0 0 X 0 0 X X 0 X X generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+21x^40+29x^42+32x^43+19x^44+64x^45+21x^46+32x^47+14x^48+7x^50+9x^52+6x^54+1x^86 The gray image is a linear code over GF(2) with n=90, k=8 and d=40. This code was found by Heurico 1.16 in 0.016 seconds.