The generator matrix 1 0 0 0 0 0 0 0 1 1 1 X 0 0 1 1 0 1 1 1 1 X 1 0 1 X 0 0 X 0 1 X 1 1 X 1 X 1 1 1 1 X 1 1 1 1 0 X X 1 1 1 1 1 0 1 1 1 1 X X 1 1 X 1 1 X 1 X 1 X X 0 1 0 1 X 1 1 1 1 1 1 0 0 0 1 1 0 X 0 1 X X 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 X+1 1 X+1 1 1 1 1 1 1 X+1 1 X X X X X+1 X 1 1 X X X X X 1 X+1 X 1 1 X+1 1 1 1 X 1 1 1 X X+1 X+1 X 1 X+1 X 1 X 1 X+1 X 1 X 1 1 1 X 1 1 X 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 1 1 1 X+1 1 X+1 1 1 0 0 X X 1 X+1 0 X 1 0 1 1 X X X+1 1 1 0 X+1 X+1 X+1 1 X+1 1 1 X+1 X+1 1 0 X X+1 X+1 1 1 X 1 0 1 X 0 1 1 X 1 1 X X 1 X+1 0 X+1 0 1 X+1 X X X X 0 X+1 X 1 1 1 0 1 1 X+1 X+1 X 0 0 0 0 1 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X X 0 X 0 X 1 1 1 1 X+1 X+1 1 1 1 0 1 X+1 X+1 X X+1 X+1 1 1 1 X 0 X+1 X X X+1 X+1 1 X+1 X X X+1 X+1 X X 1 X X 1 0 1 X X+1 X+1 1 X 0 X+1 0 1 1 X 1 X+1 X+1 1 X+1 0 1 X 1 X 1 X 1 1 0 1 0 X X+1 0 0 0 0 0 0 1 0 0 0 0 0 X X 1 1 1 X+1 1 1 1 X X 0 X+1 X+1 0 X+1 X+1 1 1 0 X+1 X+1 X X+1 X+1 X+1 X 0 X+1 1 X X 1 0 1 X 1 0 1 0 1 1 X+1 X+1 X+1 0 1 X 1 X X+1 0 X+1 X+1 0 1 0 X 1 0 X 1 0 0 X+1 X X+1 1 X+1 1 X+1 X 0 1 0 0 X X+1 X+1 X X+1 X 1 X+1 X+1 0 1 0 0 0 0 0 0 1 0 0 1 X 1 1 1 0 X+1 0 1 0 1 X+1 X X 0 X+1 X X+1 0 1 0 X X X X 1 0 X+1 1 X+1 0 X+1 0 X+1 X X X+1 1 0 1 X+1 X 1 1 1 0 X 1 1 X+1 0 0 X 0 1 X+1 X+1 0 1 X+1 1 1 X+1 0 X X X 0 X 0 X X 1 0 0 1 X+1 X X 0 X X X+1 X+1 X+1 0 0 X+1 1 0 0 0 0 0 0 0 1 0 1 X+1 0 1 X 1 0 X+1 X+1 0 1 X 1 0 1 X 0 1 0 1 0 X+1 X 1 X X+1 1 1 X+1 X+1 X+1 X 0 0 0 1 X 1 X+1 1 0 1 X X X+1 0 1 X+1 0 X 1 X+1 X X 0 X+1 0 X+1 X+1 X+1 0 0 X+1 X X 0 X X 1 1 X X 1 X 1 1 X X X+1 X+1 0 X 0 1 1 0 1 X+1 X 0 0 0 0 0 0 0 0 1 X 1 1 X+1 X+1 X+1 X 0 0 X+1 1 1 X+1 X+1 X X+1 X X X 1 1 X+1 X 0 1 X X X+1 0 1 X+1 X 1 X+1 0 0 1 X X+1 X X+1 X+1 1 X+1 0 X X+1 X 0 X 0 X 1 X X X+1 1 X+1 1 X+1 X X 1 X X X 1 1 1 X X+1 0 X 1 X 0 X+1 0 X+1 X 1 X 0 X 1 0 X+1 X 1 0 generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+71x^80+122x^81+299x^82+454x^83+683x^84+814x^85+1079x^86+1190x^87+1563x^88+1706x^89+1980x^90+2280x^91+2462x^92+2738x^93+3107x^94+3320x^95+3382x^96+3600x^97+3473x^98+3692x^99+3491x^100+3572x^101+2986x^102+2874x^103+2571x^104+2316x^105+2042x^106+1700x^107+1576x^108+1094x^109+935x^110+688x^111+602x^112+364x^113+305x^114+162x^115+100x^116+54x^117+37x^118+24x^119+10x^120+2x^121+11x^122+2x^129+1x^130+1x^170 The gray image is a linear code over GF(2) with n=196, k=16 and d=80. This code was found by Heurico 1.11 in 360 seconds.