Extension: [6,6,1] to [20,6,4] Number of the matrices for extension:1 {self-orthogonal no} Number of ones to add in the first row in the generator matrix of the codes: 3 Weights: 4 8 12 16 20 Maximal number for proportional coordinates in the output codes:Till dimension 1--20; Till dimension 2--20; Till dimension 3--20; Till dimension 4--20; Till dimension 5--20; Till dimension 6--20; The minimum distance of the dual codes is: 2 ======================== Start matrix 1 21 E 111000000000001000001 000000000000000100002 000000000000000010003 000000000000000001004 000000000000000000105 000000000000000000016 ?6 20 4 _6 1 11100000000000100000 12333333333000010000 12311223330300001000 12313231203300000100 23133223200033000010 23133223200012000001 AUT: 497664 $1z^{0}+6z^{4}+18z^{8}+1020z^{12}+2997z^{16}+54z^{20} dd-3$\\ ?6 20 4 _6 2 11100000000000100000 12333333333000010000 12311223330300001000 12313231203300000100 23103032223033000010 00022323332112000001 AUT: 41472 $1z^{0}+3z^{4}+18z^{8}+1038z^{12}+2973z^{16}+63z^{20} dd-3$\\ ?6 20 4 _6 3 11100000000000100000 12333333333000010000 12311223330300001000 12313231203300000100 23103032223033000010 23103032223012000001 AUT: 62208 $1z^{0}+6z^{4}+18z^{8}+1020z^{12}+2997z^{16}+54z^{20} dd-3$\\ ?6 20 4 _6 4 11100000000000100000 12333333333000010000 12311223330300001000 31223330003133000100 31223330003112000010 00000001230000000001 AUT: 186624 $1z^{0}+9z^{4}+30z^{8}+1014z^{12}+2961z^{16}+81z^{20} dd-2$\\ ?6 20 4 _6 5 11100000000000100000 12333333333000010000 31212233333000001000 12303022220333000100 12303022220123000010 00000012300000000001 AUT: 62208 $1z^{0}+9z^{4}+63z^{8}+867z^{12}+3156z^{16} dd-3$\\ ?6 20 4 _6 6 11100000000000100000 12333333333000010000 31212233333000001000 12303022220333000100 12303022220123000010 12303012300000000001 AUT: 10368 $1z^{0}+6z^{4}+72z^{8}+858z^{12}+3159z^{16} dd-3$\\ ?6 20 4 _6 7 11100000000000100000 12333333333000010000 31212233333000001000 12303022220333000100 12303033330123000010 12303012300000000001 AUT: 5184 $1z^{0}+3z^{4}+81z^{8}+849z^{12}+3162z^{16} dd-3$\\ ?6 20 4 _6 8 11100000000000100000 12333333333000010000 31212233333000001000 12303012300000000100 12303000000333000010 00000000000123000001 AUT: 41472 $1z^{0}+6z^{4}+120z^{8}+762z^{12}+3207z^{16} dd-2$\\ ?6 20 4 _6 9 11100000000000100000 12333333333000010000 31212233333000001000 12303012300000000100 00000000000333000010 00000000000123000001 AUT: 622080 $1z^{0}+18z^{4}+84z^{8}+798z^{12}+3195z^{16} dd-2$\\ ?6 20 4 _6 10 11100000000000100000 12333333333000010000 31212233333000001000 12303000000333000100 12303000000123000010 00000012300000000001 AUT: 62208 $1z^{0}+9z^{4}+111z^{8}+771z^{12}+3204z^{16} dd-2$\\ ?6 20 4 _6 11 11100000000000100000 12333333333000010000 31212233333000001000 00000012300000000100 00000000000333000010 00000000000123000001 AUT: 1866240 $1z^{0}+21z^{4}+123z^{8}+711z^{12}+3240z^{16} dd-2$\\ ?6 20 4 _6 12 11100000000000100000 12333333333000010000 12312333333000001000 31200233330333000100 31200233330123000010 00000012300000000001 AUT: 1492992 $1z^{0}+12z^{4}+54z^{8}+876z^{12}+3153z^{16} dd-3$\\ ?6 20 4 _6 13 11100000000000100000 12333333333000010000 12312333333000001000 12300333330333000100 12300333330123000010 00000123000000000001 AUT: 497664 $1z^{0}+12z^{4}+102z^{8}+780z^{12}+3201z^{16} dd-2$\\ ?6 20 4 _6 14 11100000000000100000 12333333333000010000 12312333333000001000 00000123000000000100 00000000123000000010 00000000000333000001 AUT: 17915904 $1z^{0}+15z^{4}+90z^{8}+1038z^{12}+2709z^{16}+243z^{20} dd-2$\\ ?6 20 4 _6 15 11100000000000100000 12333333333000010000 12312333333000001000 00000123000000000100 00000000000333000010 00000000000123000001 AUT: 22394880 $1z^{0}+24z^{4}+162z^{8}+624z^{12}+3285z^{16} dd-2$\\ ?6 20 4 _6 16 11100000000000100000 00033333333333010000 00012222233333001000 00003333012300000100 00001230033330000010 12300000000000000001 AUT: 777600 $1z^{0}+15z^{4}+45z^{8}+885z^{12}+3150z^{16} dd-3$\\ ?6 20 4 _6 17 11100000000000100000 12333330000000010000 12312330000000001000 00000003333333000100 00000001233333000010 00000000012300000001 AUT: 5971968 $1z^{0}+12z^{4}+150z^{8}+684z^{12}+3249z^{16} dd-2$\\ ?6 20 4 _6 18 11100000000000100000 00033333330000010000 00011223303000001000 12300000000000000100 00000000000333000010 00000000000123000001 AUT: 93312000 $1z^{0}+30z^{4}+240z^{8}+450z^{12}+3375z^{16} dd-2$\\ ?6 20 4 _6 19 11100000000000100000 00033333330000010000 00033330003330001000 00033003303303000100 00030303033033000010 12300000000000000001 AUT: 43545600 $1z^{0}+15z^{4}+45z^{8}+885z^{12}+3150z^{16} dd-3$\\ ?6 20 4 _6 20 11100000000000100000 00033333330000010000 00033330003330001000 00033003303303000100 00030303033033000010 00030030330333000001 AUT: 11612160 $1z^{0}+3z^{4}+90z^{8}+1110z^{12}+2613z^{16}+279z^{20} dd-2$\\ DIFFERENT ENUMERATORS :20 ALL CODES: 20 1 1 AUT: 497664 $1z^{0}+6z^{4}+18z^{8}+1020z^{12}+2997z^{16}+54z^{20} dd-3$\\ 2 1 AUT: 41472 $1z^{0}+3z^{4}+18z^{8}+1038z^{12}+2973z^{16}+63z^{20} dd-3$\\ 3 1 AUT: 62208 $1z^{0}+6z^{4}+18z^{8}+1020z^{12}+2997z^{16}+54z^{20} dd-3$\\ 4 1 AUT: 186624 $1z^{0}+9z^{4}+30z^{8}+1014z^{12}+2961z^{16}+81z^{20} dd-2$\\ 5 1 AUT: 62208 $1z^{0}+9z^{4}+63z^{8}+867z^{12}+3156z^{16} dd-3$\\ 6 1 AUT: 10368 $1z^{0}+6z^{4}+72z^{8}+858z^{12}+3159z^{16} dd-3$\\ 7 1 AUT: 5184 $1z^{0}+3z^{4}+81z^{8}+849z^{12}+3162z^{16} dd-3$\\ 8 1 AUT: 41472 $1z^{0}+6z^{4}+120z^{8}+762z^{12}+3207z^{16} dd-2$\\ 9 1 AUT: 622080 $1z^{0}+18z^{4}+84z^{8}+798z^{12}+3195z^{16} dd-2$\\ 10 1 AUT: 62208 $1z^{0}+9z^{4}+111z^{8}+771z^{12}+3204z^{16} dd-2$\\ 11 1 AUT: 1866240 $1z^{0}+21z^{4}+123z^{8}+711z^{12}+3240z^{16} dd-2$\\ 12 1 AUT: 1492992 $1z^{0}+12z^{4}+54z^{8}+876z^{12}+3153z^{16} dd-3$\\ 13 1 AUT: 497664 $1z^{0}+12z^{4}+102z^{8}+780z^{12}+3201z^{16} dd-2$\\ 14 1 AUT: 17915904 $1z^{0}+15z^{4}+90z^{8}+1038z^{12}+2709z^{16}+243z^{20} dd-2$\\ 15 1 AUT: 22394880 $1z^{0}+24z^{4}+162z^{8}+624z^{12}+3285z^{16} dd-2$\\ 16 1 AUT: 777600 $1z^{0}+15z^{4}+45z^{8}+885z^{12}+3150z^{16} dd-3$\\ 17 1 AUT: 5971968 $1z^{0}+12z^{4}+150z^{8}+684z^{12}+3249z^{16} dd-2$\\ 18 1 AUT: 93312000 $1z^{0}+30z^{4}+240z^{8}+450z^{12}+3375z^{16} dd-2$\\ 19 1 AUT: 43545600 $1z^{0}+15z^{4}+45z^{8}+885z^{12}+3150z^{16} dd-3$\\ 20 1 AUT: 11612160 $1z^{0}+3z^{4}+90z^{8}+1110z^{12}+2613z^{16}+279z^{20} dd-2$\\