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 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 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 X 2X 2X X X X 0 2X X 2X 0 X 2X X X X 0 2X X X X 0 X 0 X X 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 0 X 2X X 2X 2X 2X 2X 2X 0 2X X 0 X X X X X 2X 0 X 2X 2X X 2X X 0 X X X 2X 0 2X 0 X 2X 2X X 2X X X 2X X X 2X 0 2X 0 X X X 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 2X X 2X X 0 X X 2X 0 0 X 2X X X X 2X 2X X 0 X 0 X 0 X 0 2X 2X 0 2X 0 X 2X 2X X X X 0 0 X 0 X X 2X 2X 2X 2X 2X 0 2X X 2X 0 0 X 0 2X 2X 2X 2X 0 0 0 0 2X 2X 2X X 0 X 2X 0 0 2X X 0 2X 2X 2X X 0 0 2X 0 0 0 2X 0 0 0 X 0 0 X 2X 0 2X 0 0 2X X X 2X 0 X 0 2X X X X 2X 2X X 2X X 0 0 X 0 0 X X 0 X 2X 0 0 X X 0 2X 0 X X 0 2X 0 X X X 0 2X 2X 2X 0 0 2X 2X X X 2X 0 X 0 0 2X 0 2X 2X 2X X 2X 0 X 2X X 2X X 2X 2X 2X 2X 0 0 0 2X 0 X 2X 2X 2X X 0 X X X 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 0 2X 2X 0 2X X 0 X 2X 0 2X X 2X 0 2X 0 0 X X 2X 2X X 2X 2X 2X X X X 0 X X 0 2X 0 0 2X 2X 0 0 X X X 2X 2X 2X 2X X X 2X X X 0 0 X 0 0 X 0 2X X 0 2X 0 2X 0 2X 0 0 0 0 X 0 2X 2X X X 2X X 2X X 0 0 0 2X 0 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X 2X X X 2X X 2X 2X 2X X 2X X X 0 0 0 2X 0 X 2X 0 0 0 0 2X 2X X X 0 0 X 0 X X 2X X 0 0 0 X 2X X 2X 2X X X 0 X 2X 0 2X 0 X X 0 0 0 0 0 0 X X 0 2X X 2X 0 X 2X X X 0 X 0 X 2X 0 X 0 X 0 X X X 2X 2X 0 generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 186. Homogenous weight enumerator: w(x)=1x^0+152x^186+122x^189+18x^190+144x^193+136x^195+432x^196+62x^198+576x^199+288x^202+96x^204+34x^207+58x^213+18x^216+32x^222+4x^225+10x^231+2x^234+2x^285 The gray image is a linear code over GF(3) with n=297, k=7 and d=186. This code was found by Heurico 1.16 in 0.981 seconds.