The generator matrix 1 0 0 1 1 1 X 1 1 1 1 1 1 0 0 1 1 1 X 0 0 1 X 0 1 0 0 1 X+1 1 0 X 1 X+1 X 1 1 0 X X X+1 1 0 X X X 0 0 1 1 1 0 1 X 1 X+1 X 1 X X 1 X+1 X+1 X 1 1 0 X+1 1 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X 0 X X X X 0 X 0 0 0 0 X X 0 X 0 0 0 X X X X 0 X X 0 X X 0 X generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+92x^20+48x^22+56x^24+16x^26+36x^28+7x^32 The gray image is a linear code over GF(2) with n=46, k=8 and d=20. As d=20 is an upper bound for linear (46,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 0.0492 seconds.