Extension: [5,5,1] to [20,5,4] 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; The minimum distance of the dual codes is: 2 ======================== Start matrix 1 21 E 111000000000000100001 000000000000000010002 000000000000000001003 000000000000000000104 000000000000000000015 ?5 20 4 _5 1 11100000000000010000 12333333333333301000 23111222223333300100 23123123331222300010 00000000000123000001 AUT: 15552 $1z^{0}+6z^{4}+9z^{8}+243z^{12}+738z^{16}+27z^{20} dd-2$\\ ?5 20 4 _5 2 11100000000000010000 12333333333333301000 23111222223333300100 23123123331222300010 00033221232230300001 AUT: 2592 $1z^{0}+3z^{4}+252z^{12}+759z^{16}+9z^{20} dd-3$\\ ?5 20 4 _5 3 11100000000000010000 12333333333333301000 23111222223333300100 23123123331222300010 12303333300120300001 AUT: 432 $1z^{0}+3z^{4}+3z^{8}+255z^{12}+744z^{16}+18z^{20} dd-2$\\ ?5 20 4 _5 4 11100000000000010000 12333333333333301000 23111222223333300100 23123123331222300010 23132331232123200001 AUT: 20736 $1z^{0}+3z^{4}+252z^{12}+759z^{16}+9z^{20} dd-3$\\ ?5 20 4 _5 5 11100000000000010000 12333333333333301000 23111222223333300100 31213223303300000010 00000000000012300001 AUT: 5184 $1z^{0}+6z^{4}+9z^{8}+243z^{12}+738z^{16}+27z^{20} dd-2$\\ ?5 20 4 _5 6 11100000000000010000 12333333333333301000 23111222223333300100 31213223303300000010 00033122322323000001 AUT: 3456 $1z^{0}+3z^{4}+252z^{12}+759z^{16}+9z^{20} dd-3$\\ ?5 20 4 _5 7 11100000000000010000 12333333333333301000 23111222223333300100 31213223303300000010 31231232303030000001 AUT: 1728 $1z^{0}+3z^{4}+3z^{8}+255z^{12}+744z^{16}+18z^{20} dd-2$\\ ?5 20 4 _5 8 11100000000000010000 12333333333333301000 23111222223333300100 31220123003333000010 00000000001230000001 AUT: 13824 $1z^{0}+6z^{4}+12z^{8}+210z^{12}+795z^{16} dd-2$\\ ?5 20 4 _5 9 11100000000000010000 12333333333333301000 23111222223333300100 31220123003333000010 00000333301230000001 AUT: 432 $1z^{0}+3z^{4}+9z^{8}+225z^{12}+786z^{16} dd-3$\\ ?5 20 4 _5 10 11100000000000010000 12333333333333301000 23111222223333300100 31220123003333000010 12330000001230000001 AUT: 1728 $1z^{0}+3z^{4}+21z^{8}+201z^{12}+798z^{16} dd-2$\\ ?5 20 4 _5 11 11100000000000010000 12333333333333301000 23111222223333300100 31220123003333000010 31202023103330300001 AUT: 6912 $1z^{0}+3z^{4}+9z^{8}+261z^{12}+714z^{16}+36z^{20} dd-2$\\ ?5 20 4 _5 12 11100000000000010000 12333333333333301000 23111222223333300100 12330333301230000010 00000123000000000001 AUT: 5184 $1z^{0}+6z^{4}+12z^{8}+210z^{12}+795z^{16} dd-2$\\ ?5 20 4 _5 13 11100000000000010000 12333333333333301000 23111222223333300100 12330333301230000010 12330123000000000001 AUT: 432 $1z^{0}+3z^{4}+21z^{8}+201z^{12}+798z^{16} dd-2$\\ ?5 20 4 _5 14 11100000000000010000 12333333333333301000 23111222223333300100 12330333301230000010 12330123003333000001 AUT: 2592 $1z^{0}+3z^{4}+9z^{8}+225z^{12}+786z^{16} dd-3$\\ ?5 20 4 _5 15 11100000000000010000 12333333333333301000 23111222223333300100 12330333301230000010 12303230012202200001 AUT: 2592 $1z^{0}+3z^{4}+6z^{8}+258z^{12}+729z^{16}+27z^{20} dd-2$\\ ?5 20 4 _5 16 11100000000000010000 12333333333333301000 23111222223333300100 12330000001230000010 00000123000000000001 AUT: 2592 $1z^{0}+6z^{4}+24z^{8}+186z^{12}+807z^{16} dd-2$\\ ?5 20 4 _5 17 11100000000000010000 12333333333333301000 23111222223333300100 12330000001230000010 12330123000000000001 AUT: 1296 $1z^{0}+3z^{4}+33z^{8}+177z^{12}+810z^{16} dd-2$\\ ?5 20 4 _5 18 11100000000000010000 12333333333333301000 23111222223333300100 00000333301230000010 00000123003333000001 AUT: 1728 $1z^{0}+3z^{4}+21z^{8}+201z^{12}+798z^{16} dd-2$\\ ?5 20 4 _5 19 11100000000000010000 12333333333333301000 23111222223333300100 00000000001230000010 00000123000000000001 AUT: 62208 $1z^{0}+9z^{4}+27z^{8}+171z^{12}+816z^{16} dd-2$\\ ?5 20 4 _5 20 11100000000000010000 12333333333333301000 12312222233333300100 12301230033333000010 00000000012300000001 AUT: 41472 $1z^{0}+6z^{4}+24z^{8}+186z^{12}+807z^{16} dd-2$\\ ?5 20 4 _5 21 11100000000000010000 12333333333333301000 12312222233333300100 12301230033333000010 12300000012330000001 AUT: 5184 $1z^{0}+3z^{4}+33z^{8}+177z^{12}+810z^{16} dd-2$\\ ?5 20 4 _5 22 11100000000000010000 12333333333333301000 12312222233333300100 12300000012330000010 00001230000000000001 AUT: 15552 $1z^{0}+6z^{4}+36z^{8}+162z^{12}+819z^{16} dd-2$\\ ?5 20 4 _5 23 11100000000000010000 12333333333333301000 12312222233333300100 00003333012300000010 00000000000012300001 AUT: 41472 $1z^{0}+6z^{4}+18z^{8}+252z^{12}+693z^{16}+54z^{20} dd-2$\\ ?5 20 4 _5 24 11100000000000010000 12333333333333301000 12312222233333300100 00003333012300000010 00001230000000000001 AUT: 20736 $1z^{0}+6z^{4}+36z^{8}+162z^{12}+819z^{16} dd-2$\\ ?5 20 4 _5 25 11100000000000010000 12333333333333301000 12312222233333300100 00003333012300000010 00003333000012300001 AUT: 20736 $1z^{0}+3z^{4}+18z^{8}+270z^{12}+669z^{16}+63z^{20} dd-2$\\ ?5 20 4 _5 26 11100000000000010000 12333333333333301000 12312222233333300100 00001230000000000010 00000000012300000001 AUT: 62208 $1z^{0}+9z^{4}+39z^{8}+147z^{12}+828z^{16} dd-2$\\ ?5 20 4 _5 27 11100000000000010000 12333333333333301000 12312222233333300100 00000000012300000010 00000000000012300001 AUT: 186624 $1z^{0}+9z^{4}+30z^{8}+246z^{12}+657z^{16}+81z^{20} dd-2$\\ ?5 20 4 _5 28 11100000000000010000 12333333333333301000 31212233333333300100 12303012300000000010 12303000012300000001 AUT: 20736 $1z^{0}+3z^{4}+45z^{8}+153z^{12}+822z^{16} dd-2$\\ ?5 20 4 _5 29 11100000000000010000 12333333333333301000 12312333333333300100 00000123000000000010 00000000123000000001 AUT: 2985984 $1z^{0}+12z^{4}+54z^{8}+108z^{12}+849z^{16} dd-2$\\ ?5 20 4 _5 30 11100000000000010000 12333333333000001000 12311223330300000100 12313231203300000010 00000000000033300001 AUT: 124416 $1z^{0}+6z^{4}+18z^{8}+252z^{12}+693z^{16}+54z^{20} dd-2$\\ ?5 20 4 _5 31 11100000000000010000 12333333333000001000 12311223330300000100 12300003000033300010 00000000000012300001 AUT: 20736 $1z^{0}+6z^{4}+60z^{8}+114z^{12}+843z^{16} dd-2$\\ ?5 20 4 _5 32 11100000000000010000 12333333333000001000 12311223330300000100 00000001230000000010 00000000000033300001 AUT: 124416 $1z^{0}+9z^{4}+30z^{8}+246z^{12}+657z^{16}+81z^{20} dd-2$\\ ?5 20 4 _5 33 11100000000000010000 12333333333000001000 12311223330300000100 00000000000033300010 00000000000012300001 AUT: 311040 $1z^{0}+18z^{4}+48z^{8}+102z^{12}+855z^{16} dd-2$\\ ?5 20 4 _5 34 11100000000000010000 12333333333000001000 12312333333000000100 00000333300333000010 00000330033330300001 AUT: 41472 $1z^{0}+6z^{4}+18z^{8}+252z^{12}+693z^{16}+54z^{20} dd-2$\\ ?5 20 4 _5 35 11100000000000010000 12333333333000001000 31223333000333000100 12332200220220300010 00002020202202300001 AUT: 20736 $1z^{0}+3z^{4}+9z^{8}+225z^{12}+786z^{16} dd-3$\\ ?5 20 4 _5 36 11100000000000010000 12333333333000001000 12333333000333000100 12333300330330300010 00030030303303300001 AUT: 96768 $1z^{0}+3z^{4}+21z^{8}+201z^{12}+798z^{16} dd-2$\\ ?5 20 4 _5 37 11100000000000010000 00033333333333001000 00011223333330300100 00033131223303200010 12300000000000000001 AUT: 116640 $1z^{0}+15z^{4}+9z^{8}+189z^{12}+810z^{16} dd-2$\\ ?5 20 4 _5 38 11100000000000010000 00033333333333001000 00011223333330300100 00013231233303300010 12300000000000000001 AUT: 622080 $1z^{0}+15z^{4}+9z^{8}+189z^{12}+810z^{16} dd-2$\\ ?5 20 4 _5 39 11100000000000010000 00033333333333001000 00011223333330300100 00013231233303300010 00002102010033300001 AUT: 48384 $1z^{0}+3z^{4}+21z^{8}+273z^{12}+654z^{16}+72z^{20} dd-2$\\ ?5 20 4 _5 40 11100000000000010000 00033333333333001000 00011223333330300100 00013231233303300010 00013233312033300001 AUT: 165888 $1z^{0}+3z^{4}+18z^{8}+270z^{12}+669z^{16}+63z^{20} dd-2$\\ ?5 20 4 _5 41 11100000000000010000 12333330000000001000 12312330000000000100 00000003333333000010 00000001122330300001 AUT: 622080 $1z^{0}+6z^{4}+72z^{8}+90z^{12}+855z^{16} dd-2$\\ ?5 20 4 _5 42 11100000000000010000 00033333330000001000 00011223303000000100 00033221100300000010 00000000000033300001 AUT: 155520 $1z^{0}+6z^{4}+54z^{8}+288z^{12}+513z^{16}+162z^{20} dd-2$\\ ?5 20 4 _5 43 11100000000000010000 00033333330000001000 00033330003330000100 00033003303303000010 00000333303300300001 AUT: 48384 $1z^{0}+3z^{4}+42z^{8}+294z^{12}+549z^{16}+135z^{20} dd-2$\\ ?5 20 4 _5 44 11100000000000010000 00033300000000001000 00000033300000000100 00000000033300000010 00000000000033300001 AUT: 933120 $1z^{0}+15z^{4}+90z^{8}+270z^{12}+405z^{16}+243z^{20} dd-2$\\ DIFFERENT ENUMERATORS :42 ALL CODES: 44 1 1 AUT: 15552 $1z^{0}+6z^{4}+9z^{8}+243z^{12}+738z^{16}+27z^{20} dd-2$\\ 2 1 AUT: 2592 $1z^{0}+3z^{4}+252z^{12}+759z^{16}+9z^{20} dd-3$\\ 3 1 AUT: 432 $1z^{0}+3z^{4}+3z^{8}+255z^{12}+744z^{16}+18z^{20} dd-2$\\ 4 1 AUT: 20736 $1z^{0}+3z^{4}+252z^{12}+759z^{16}+9z^{20} dd-3$\\ 5 1 AUT: 5184 $1z^{0}+6z^{4}+9z^{8}+243z^{12}+738z^{16}+27z^{20} dd-2$\\ 6 1 AUT: 3456 $1z^{0}+3z^{4}+252z^{12}+759z^{16}+9z^{20} dd-3$\\ 7 1 AUT: 1728 $1z^{0}+3z^{4}+3z^{8}+255z^{12}+744z^{16}+18z^{20} dd-2$\\ 8 1 AUT: 13824 $1z^{0}+6z^{4}+12z^{8}+210z^{12}+795z^{16} dd-2$\\ 9 1 AUT: 432 $1z^{0}+3z^{4}+9z^{8}+225z^{12}+786z^{16} dd-3$\\ 10 2 AUT: 1728 $1z^{0}+3z^{4}+21z^{8}+201z^{12}+798z^{16} dd-2$\\ 11 1 AUT: 6912 $1z^{0}+3z^{4}+9z^{8}+261z^{12}+714z^{16}+36z^{20} dd-2$\\ 12 1 AUT: 5184 $1z^{0}+6z^{4}+12z^{8}+210z^{12}+795z^{16} dd-2$\\ 13 1 AUT: 432 $1z^{0}+3z^{4}+21z^{8}+201z^{12}+798z^{16} dd-2$\\ 14 1 AUT: 2592 $1z^{0}+3z^{4}+9z^{8}+225z^{12}+786z^{16} dd-3$\\ 15 1 AUT: 2592 $1z^{0}+3z^{4}+6z^{8}+258z^{12}+729z^{16}+27z^{20} dd-2$\\ 16 1 AUT: 2592 $1z^{0}+6z^{4}+24z^{8}+186z^{12}+807z^{16} dd-2$\\ 17 1 AUT: 1296 $1z^{0}+3z^{4}+33z^{8}+177z^{12}+810z^{16} dd-2$\\ 18 1 AUT: 62208 $1z^{0}+9z^{4}+27z^{8}+171z^{12}+816z^{16} dd-2$\\ 19 1 AUT: 41472 $1z^{0}+6z^{4}+24z^{8}+186z^{12}+807z^{16} dd-2$\\ 20 1 AUT: 5184 $1z^{0}+3z^{4}+33z^{8}+177z^{12}+810z^{16} dd-2$\\ 21 1 AUT: 15552 $1z^{0}+6z^{4}+36z^{8}+162z^{12}+819z^{16} dd-2$\\ 22 2 AUT: 41472 $1z^{0}+6z^{4}+18z^{8}+252z^{12}+693z^{16}+54z^{20} dd-2$\\ 23 1 AUT: 20736 $1z^{0}+6z^{4}+36z^{8}+162z^{12}+819z^{16} dd-2$\\ 24 1 AUT: 20736 $1z^{0}+3z^{4}+18z^{8}+270z^{12}+669z^{16}+63z^{20} dd-2$\\ 25 1 AUT: 62208 $1z^{0}+9z^{4}+39z^{8}+147z^{12}+828z^{16} dd-2$\\ 26 1 AUT: 186624 $1z^{0}+9z^{4}+30z^{8}+246z^{12}+657z^{16}+81z^{20} dd-2$\\ 27 1 AUT: 20736 $1z^{0}+3z^{4}+45z^{8}+153z^{12}+822z^{16} dd-2$\\ 28 1 AUT: 2985984 $1z^{0}+12z^{4}+54z^{8}+108z^{12}+849z^{16} dd-2$\\ 29 1 AUT: 124416 $1z^{0}+6z^{4}+18z^{8}+252z^{12}+693z^{16}+54z^{20} dd-2$\\ 30 1 AUT: 20736 $1z^{0}+6z^{4}+60z^{8}+114z^{12}+843z^{16} dd-2$\\ 31 1 AUT: 124416 $1z^{0}+9z^{4}+30z^{8}+246z^{12}+657z^{16}+81z^{20} dd-2$\\ 32 1 AUT: 311040 $1z^{0}+18z^{4}+48z^{8}+102z^{12}+855z^{16} dd-2$\\ 33 1 AUT: 20736 $1z^{0}+3z^{4}+9z^{8}+225z^{12}+786z^{16} dd-3$\\ 34 1 AUT: 96768 $1z^{0}+3z^{4}+21z^{8}+201z^{12}+798z^{16} dd-2$\\ 35 1 AUT: 116640 $1z^{0}+15z^{4}+9z^{8}+189z^{12}+810z^{16} dd-2$\\ 36 1 AUT: 622080 $1z^{0}+15z^{4}+9z^{8}+189z^{12}+810z^{16} dd-2$\\ 37 1 AUT: 48384 $1z^{0}+3z^{4}+21z^{8}+273z^{12}+654z^{16}+72z^{20} dd-2$\\ 38 1 AUT: 165888 $1z^{0}+3z^{4}+18z^{8}+270z^{12}+669z^{16}+63z^{20} dd-2$\\ 39 1 AUT: 622080 $1z^{0}+6z^{4}+72z^{8}+90z^{12}+855z^{16} dd-2$\\ 40 1 AUT: 155520 $1z^{0}+6z^{4}+54z^{8}+288z^{12}+513z^{16}+162z^{20} dd-2$\\ 41 1 AUT: 48384 $1z^{0}+3z^{4}+42z^{8}+294z^{12}+549z^{16}+135z^{20} dd-2$\\ 42 1 AUT: 933120 $1z^{0}+15z^{4}+90z^{8}+270z^{12}+405z^{16}+243z^{20} dd-2$\\