The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 1 X 1 1 1 0 0 1 1 1 1 0 X X 0 X 0 1 X 0 1 X 1 1 1 1 0 X 1 1 1 0 1 1 0 1 1 0 X+1 1 1 0 1 X+1 0 1 X+1 X 1 0 X+1 1 0 X 1 1 0 X+1 X+1 1 1 0 X X+1 1 1 1 0 X 1 1 1 0 1 X 1 X+1 X+1 X+1 X+1 1 1 0 1 X 0 0 X 0 0 0 0 0 0 X X X 0 0 X 0 X X 0 X X X X X 0 X 0 X 0 X 0 X 0 X 0 X X 0 X X 0 X X X 0 X X X 0 X X 0 X X 0 0 0 X 0 0 0 X 0 X X 0 0 X 0 X 0 0 X 0 X 0 X X X X 0 0 X X 0 0 X X X X X 0 0 X 0 X 0 0 0 0 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X X X X X 0 0 X X X 0 0 0 X X X X 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X X X 0 0 X 0 0 0 0 0 0 X 0 X X X 0 0 0 0 X X 0 0 X X X X 0 0 0 0 0 0 X X X X 0 0 X X 0 X X X 0 X 0 X 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 X 0 0 0 X 0 X 0 X X X 0 X X 0 X 0 X 0 0 X 0 X 0 X X 0 0 X X 0 0 X 0 0 X 0 X 0 generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+41x^48+44x^49+53x^50+30x^51+32x^52+80x^53+33x^54+22x^55+30x^56+48x^57+27x^58+10x^59+14x^60+16x^61+6x^62+2x^63+2x^64+4x^65+7x^66+2x^68+1x^70+6x^72+1x^74 The gray image is a linear code over GF(2) with n=108, k=9 and d=48. This code was found by Heurico 1.16 in 0.047 seconds.