The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 X 1 1 X 1 1 0 1 1 X 1 1 0 1 1 X 1 0 1 1 0 1 1 0 X+1 1 0 1 X+1 1 0 1 0 X+1 1 0 X+1 1 0 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 0 X+1 1 0 X+1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 0 X+1 1 X 1 1 0 X+1 1 X 1 1 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X 0 X X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 0 0 X 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 X X 0 X X 0 X X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 X 0 X X 0 0 X 0 0 0 X X 0 X X 0 0 0 0 0 0 X X X X X 0 0 X X X 0 X 0 0 0 0 X X X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 0 X X 0 X X X 0 0 X 0 0 0 X X 0 X X X 0 0 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 X 0 0 0 X X 0 X X 0 generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+62x^96+128x^97+62x^98+1x^128+2x^130 The gray image is a linear code over GF(2) with n=194, k=8 and d=96. As d=96 is an upper bound for linear (194,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 0.206 seconds.