Extension: [5,5,1] to [20,5,8] 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: 7 Weights: 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; The minimum distance of the dual codes is: 2 ======================== Start matrix 1 21 E 111111100000000100001 000000000000000010002 000000000000000001003 000000000000000000104 000000000000000000015 ?5 20 4 _5 1 11111110000000010000 12333333333333301000 23133331122222300100 12312303022220000010 00033330012300000001 AUT: 108 $1z^{0}+18z^{8}+216z^{12}+789z^{16} dd-3$\\ ?5 20 4 _5 2 11111110000000010000 12333333333333301000 23133331122222300100 12312303022220000010 12333333012300000001 AUT: 144 $1z^{0}+18z^{8}+216z^{12}+789z^{16} dd-3$\\ ?5 20 4 _5 3 11111110000000010000 12333333333333301000 23133331122222300100 31233332012300000010 12312303000000000001 AUT: 1152 $1z^{0}+30z^{8}+192z^{12}+801z^{16} dd-2$\\ ?5 20 4 _5 4 11111110000000010000 12333333333333301000 23133331122222300100 12333333012300000010 12312303000000000001 AUT: 216 $1z^{0}+30z^{8}+192z^{12}+801z^{16} dd-2$\\ ?5 20 4 _5 5 11111110000000010000 12333333333333301000 31233331222222300100 31212300233330000010 00033330012300000001 AUT: 3456 $1z^{0}+18z^{8}+216z^{12}+789z^{16} dd-3$\\ ?5 20 4 _5 6 11111110000000010000 12333333333333301000 31233331222222300100 31212300233330000010 12301320222302000001 AUT: 432 $1z^{0}+9z^{8}+255z^{12}+738z^{16}+21z^{20} dd-2$\\ ?5 20 4 _5 7 11111110000000010000 12333333333333301000 31233331222222300100 31212300233330000010 12323100222302000001 AUT: 1296 $1z^{0}+12z^{8}+246z^{12}+747z^{16}+18z^{20} dd-2$\\ ?5 20 4 _5 8 11111110000000010000 12333333333333301000 31233331222222300100 00033330123000000010 00033330000123000001 AUT: 27648 $1z^{0}+30z^{8}+252z^{12}+681z^{16}+60z^{20} dd-2$\\ ?5 20 4 _5 9 11111110000000010000 12333333333333301000 12333331222223300100 12333330123003000010 12123300000003000001 AUT: 6912 $1z^{0}+42z^{8}+168z^{12}+813z^{16} dd-2$\\ ?5 20 4 _5 10 11111110000000010000 12333333333333301000 31122302333300000100 12130232223020000010 00002132233322300001 AUT: 216 $1z^{0}+3z^{8}+261z^{12}+744z^{16}+15z^{20} dd-3$\\ ?5 20 4 _5 11 11111110000000010000 12333333333333301000 31122302333300000100 12130232223020000010 00301202233322300001 AUT: 288 $1z^{0}+6z^{8}+252z^{12}+753z^{16}+12z^{20} dd-3$\\ ?5 20 4 _5 12 11111110000000010000 11223303333300001000 10232311233300000100 01322311323300000010 00333301331033300001 AUT: 8064 $1z^{0}+21z^{8}+279z^{12}+654z^{16}+69z^{20} dd-2$\\ ?5 20 4 _5 13 11111110000000010000 11223303333300001000 10232311233300000100 00333301313033300010 03033030013200000001 AUT: 27648 $1z^{0}+18z^{8}+288z^{12}+645z^{16}+72z^{20} dd-2$\\ ?5 20 4 _5 14 11111110000000010000 11223303333300001000 10232311233300000100 00333301313033300010 00333301322212000001 AUT: 10368 $1z^{0}+12z^{8}+246z^{12}+747z^{16}+18z^{20} dd-2$\\ ?5 20 4 _5 15 11111110000000010000 11223303333300001000 33221101230033000100 22331100322330000010 23231010233200300001 AUT: 2304 $1z^{0}+6z^{8}+276z^{12}+705z^{16}+36z^{20} dd-2$\\ ?5 20 4 _5 16 11111110000000010000 11223303333300001000 33221101230033000100 10232313030023300010 33003303202323300001 AUT: 1152 $1z^{0}+6z^{8}+252z^{12}+753z^{16}+12z^{20} dd-3$\\ ?5 20 4 _5 17 11111110000000010000 11223303333300001000 22331102233030000100 22331103322003000010 33221100000000300001 AUT: 43200 $1z^{0}+30z^{8}+300z^{12}+585z^{16}+108z^{20} dd-2$\\ ?5 20 4 _5 18 11111110000000010000 11223303333300001000 10232313300033300100 10323213030033300010 00333302002020000001 AUT: 18432 $1z^{0}+18z^{8}+240z^{12}+741z^{16}+24z^{20} dd-2$\\ ?5 20 4 _5 19 11111110000000010000 11223303333300001000 10232313300033300100 33120213033033000010 30113220330330300001 AUT: 1728 $1z^{0}+3z^{8}+261z^{12}+744z^{16}+15z^{20} dd-3$\\ ?5 20 4 _5 20 11111110000000010000 11223303333300001000 33221103333030000100 33003301100003000010 33003300011000300001 AUT: 11520 $1z^{0}+30z^{8}+300z^{12}+585z^{16}+108z^{20} dd-2$\\ ?5 20 4 _5 21 11111110000000010000 33330003333333001000 33003303333330300100 30303033333303300010 30030330000033300001 AUT: 120960 $1z^{0}+45z^{8}+255z^{12}+630z^{16}+93z^{20} dd-2$\\ ?5 20 4 _5 22 11111110000000010000 33330003333333001000 33003303333330300100 30303033333303300010 30030333333033300001 AUT: 129024 $1z^{0}+42z^{8}+216z^{12}+717z^{16}+48z^{20} dd-2$\\ DIFFERENT ENUMERATORS :22 ALL CODES: 22 1 1 AUT: 108 $1z^{0}+18z^{8}+216z^{12}+789z^{16} dd-3$\\ 2 1 AUT: 144 $1z^{0}+18z^{8}+216z^{12}+789z^{16} dd-3$\\ 3 1 AUT: 1152 $1z^{0}+30z^{8}+192z^{12}+801z^{16} dd-2$\\ 4 1 AUT: 216 $1z^{0}+30z^{8}+192z^{12}+801z^{16} dd-2$\\ 5 1 AUT: 3456 $1z^{0}+18z^{8}+216z^{12}+789z^{16} dd-3$\\ 6 1 AUT: 432 $1z^{0}+9z^{8}+255z^{12}+738z^{16}+21z^{20} dd-2$\\ 7 1 AUT: 1296 $1z^{0}+12z^{8}+246z^{12}+747z^{16}+18z^{20} dd-2$\\ 8 1 AUT: 27648 $1z^{0}+30z^{8}+252z^{12}+681z^{16}+60z^{20} dd-2$\\ 9 1 AUT: 6912 $1z^{0}+42z^{8}+168z^{12}+813z^{16} dd-2$\\ 10 1 AUT: 216 $1z^{0}+3z^{8}+261z^{12}+744z^{16}+15z^{20} dd-3$\\ 11 1 AUT: 288 $1z^{0}+6z^{8}+252z^{12}+753z^{16}+12z^{20} dd-3$\\ 12 1 AUT: 8064 $1z^{0}+21z^{8}+279z^{12}+654z^{16}+69z^{20} dd-2$\\ 13 1 AUT: 27648 $1z^{0}+18z^{8}+288z^{12}+645z^{16}+72z^{20} dd-2$\\ 14 1 AUT: 10368 $1z^{0}+12z^{8}+246z^{12}+747z^{16}+18z^{20} dd-2$\\ 15 1 AUT: 2304 $1z^{0}+6z^{8}+276z^{12}+705z^{16}+36z^{20} dd-2$\\ 16 1 AUT: 1152 $1z^{0}+6z^{8}+252z^{12}+753z^{16}+12z^{20} dd-3$\\ 17 1 AUT: 43200 $1z^{0}+30z^{8}+300z^{12}+585z^{16}+108z^{20} dd-2$\\ 18 1 AUT: 18432 $1z^{0}+18z^{8}+240z^{12}+741z^{16}+24z^{20} dd-2$\\ 19 1 AUT: 1728 $1z^{0}+3z^{8}+261z^{12}+744z^{16}+15z^{20} dd-3$\\ 20 1 AUT: 11520 $1z^{0}+30z^{8}+300z^{12}+585z^{16}+108z^{20} dd-2$\\ 21 1 AUT: 120960 $1z^{0}+45z^{8}+255z^{12}+630z^{16}+93z^{20} dd-2$\\ 22 1 AUT: 129024 $1z^{0}+42z^{8}+216z^{12}+717z^{16}+48z^{20} dd-2$\\