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 X X 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 0 0 0 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 0 X 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X X X X 0 0 X X 0 X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X X 0 0 X X 0 0 X X 0 0 X 0 0 0 X X X X X 0 X X 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 0 0 X X X X 0 0 0 X X 0 X X 0 0 0 0 0 X X X X X X X X 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 0 0 0 X X 0 0 X X 0 X X X X 0 0 0 X 0 X X X 0 0 0 0 X X X X 0 0 X X X X 0 0 0 0 X X X X 0 0 0 X X 0 0 X X 0 X X 0 0 0 X X 0 0 X X X X 0 0 0 0 X X X X 0 0 0 X X X X 0 0 0 0 X X X X 0 0 0 0 X X 0 0 X X X X 0 0 0 0 0 0 0 0 X X 0 X X 0 X X X 0 0 X 0 X X 0 0 X X 0 0 X X 0 0 X X 0 X X 0 0 0 0 X X 0 X X 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 0 0 X X 0 X 0 X 0 generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+47x^92+15x^96+1x^124 The gray image is a linear code over GF(2) with n=184, k=6 and d=92. As d=92 is an upper bound for linear (184,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6. This code was found by Heurico 1.16 in 0.271 seconds.