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 0 1 1 1 1 1 1 1 X 1 1 1 1 1 2X^2 1 X 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 2X^2 1 0 X 0 0 0 2X 2X^2+X 2X^2+2X X 2X^2+2X 2X^2 X 2X 2X^2+X 2X^2+2X 2X^2+X 0 X^2 X^2+X 2X^2+X 0 X 2X 2X 2X^2 X^2+2X 2X^2+2X 2X^2 2X^2 X 2X 2X^2+X 0 2X^2+X 2X^2+2X 2X X X 2X^2 2X^2 2X^2+X 2X^2+X 0 X^2+2X 2X 2X^2 2X^2 2X 2X^2 X^2 X X 2X^2+2X X^2+X 2X X^2+2X 2X^2+X X^2 X 2X^2 2X^2+X X^2 2X^2+X 0 2X^2+2X 2X^2 2X^2+X X^2 0 X X^2+X X^2+2X X 2X^2+X 2X^2+X X X X^2+2X X^2+X 2X^2 2X^2 X^2 X^2+2X X^2 2X^2+X 2X^2 2X X^2 2X^2+X 0 X^2+X X 2X^2 0 0 X 0 X^2 2X^2 X^2 2X^2 0 0 2X X X^2+2X X^2+2X 2X^2+X X^2+2X 2X^2+X 2X^2+X 2X X X^2+2X 2X^2+X 2X^2+X 2X^2+2X 2X^2+2X 2X^2+2X X 2X^2 2X^2+X X^2+X X^2+2X 2X^2+X 2X X^2 X^2 X X X^2 0 X^2+X 2X 2X^2+2X 2X^2+2X X^2 X^2+2X X^2 X^2+2X X^2+X 2X X X 2X X X^2+2X 0 2X X^2+2X X^2 2X 2X^2+X X 2X^2+X 2X^2+X 0 X^2 X^2+X X^2+2X 2X X^2+X 0 2X X^2 2X^2+2X 2X 2X^2 X^2 X^2+X X^2+2X 2X^2+2X 2X X^2+X 0 X 0 X^2 X^2+X X^2+2X 2X^2 X^2+2X X^2+X 2X^2+X 2X 2X^2+2X 0 0 0 X 2X^2+2X 0 2X X^2+X X 2X X^2 2X^2 0 2X^2 X^2 X X^2+X 2X 2X^2+2X 2X^2+2X X^2+X X^2+X 2X X^2+2X 2X^2+2X X^2+X 2X^2+X X^2+2X 2X^2+X 0 2X X^2+2X X X 2X X^2+2X X^2+X X^2 X 2X^2 2X^2+X 0 2X^2 X^2 X 2X^2+2X X^2+2X 2X^2+X X X^2+2X X^2 X 0 0 2X^2+X X^2 2X 0 2X^2 X^2+X 2X 2X^2 2X^2+X X^2 X 2X^2+2X 2X X^2+2X X 2X X 2X 2X^2+X 2X 2X^2 2X^2+2X 2X^2+X 2X^2+X X^2 X^2+2X X^2 X^2 X^2 2X^2+X 2X^2+2X 0 X^2+X 2X^2+2X 2X^2+2X 2X^2+2X X^2+2X X^2+X 2X generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 175. Homogenous weight enumerator: w(x)=1x^0+162x^175+180x^176+262x^177+402x^178+516x^179+508x^180+558x^181+768x^182+1182x^183+1866x^184+1566x^185+3654x^186+2616x^187+1566x^188+1488x^189+672x^190+288x^191+136x^192+156x^193+144x^194+114x^195+120x^196+162x^197+84x^198+120x^199+72x^200+62x^201+78x^202+54x^203+30x^204+30x^205+24x^206+10x^207+18x^208+6x^209+6x^211+2x^258 The gray image is a linear code over GF(3) with n=837, k=9 and d=525. This code was found by Heurico 1.16 in 3.14 seconds.