Extension: [5,5,1] to [19,5,4] 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 Maximal number for proportional coordinates in the output codes:Till dimension 1--19; Till dimension 2--19; Till dimension 3--19; Till dimension 4--19; Till dimension 5--19; The minimum distance of the dual codes is: 2 ======================== Start matrix 1 20 E 11100000000000100001 00000000000000010002 00000000000000001003 00000000000000000104 00000000000000000015 ?5 19 4 _5 1 1110000000000010000 1233333333300001000 1231122333030000100 1231323120330000010 0002333222313300001 AUT: 2592 $1z^{0}+3z^{4}+9z^{8}+417z^{12}+594z^{16} dd-2$\\ ?5 19 4 _5 2 1110000000000010000 1233333333300001000 1231122333030000100 1231323120330000010 2313322320003300001 AUT: 20736 $1z^{0}+3z^{4}+9z^{8}+417z^{12}+594z^{16} dd-2$\\ ?5 19 4 _5 3 1110000000000010000 1233333333300001000 1231122333030000100 3122333000313300010 0000000123000000001 AUT: 5184 $1z^{0}+6z^{4}+12z^{8}+402z^{12}+603z^{16} dd-2$\\ ?5 19 4 _5 4 1110000000000010000 1233333333300001000 1231122333030000100 2313322230003300010 2313322230001200001 AUT: 20736 $1z^{0}+6z^{4}+12z^{8}+402z^{12}+603z^{16} dd-2$\\ ?5 19 4 _5 5 1110000000000010000 1233333333300001000 3121223333300000100 1230302222033300010 0000000000012300001 AUT: 1728 $1z^{0}+6z^{4}+36z^{8}+354z^{12}+627z^{16} dd-2$\\ ?5 19 4 _5 6 1110000000000010000 1233333333300001000 3121223333300000100 1230302222033300010 0000003333012300001 AUT: 432 $1z^{0}+3z^{4}+45z^{8}+345z^{12}+630z^{16} dd-2$\\ ?5 19 4 _5 7 1110000000000010000 1233333333300001000 3121223333300000100 1230301230000000010 0000000000033300001 AUT: 10368 $1z^{0}+6z^{4}+48z^{8}+330z^{12}+639z^{16} dd-2$\\ ?5 19 4 _5 8 1110000000000010000 1233333333300001000 3121223333300000100 1230301230000000010 1230300000033300001 AUT: 1728 $1z^{0}+3z^{4}+57z^{8}+321z^{12}+642z^{16} dd-2$\\ ?5 19 4 _5 9 1110000000000010000 1233333333300001000 3121223333300000100 1230300000033300010 0000000000012300001 AUT: 5184 $1z^{0}+6z^{4}+84z^{8}+258z^{12}+675z^{16} dd-2$\\ ?5 19 4 _5 10 1110000000000010000 1233333333300001000 3121223333300000100 1230300000033300010 0000001230000000001 AUT: 2592 $1z^{0}+6z^{4}+48z^{8}+330z^{12}+639z^{16} dd-2$\\ ?5 19 4 _5 11 1110000000000010000 1233333333300001000 3121223333300000100 0000001230000000010 0000000000033300001 AUT: 31104 $1z^{0}+9z^{4}+51z^{8}+315z^{12}+648z^{16} dd-2$\\ ?5 19 4 _5 12 1110000000000010000 1233333333300001000 3121223333300000100 0000000000033300010 0000000000012300001 AUT: 77760 $1z^{0}+18z^{4}+60z^{8}+270z^{12}+675z^{16} dd-2$\\ ?5 19 4 _5 13 1110000000000010000 1233333333300001000 1231233333300000100 3120023333033300010 0000000000012300001 AUT: 31104 $1z^{0}+9z^{4}+27z^{8}+363z^{12}+624z^{16} dd-2$\\ ?5 19 4 _5 14 1110000000000010000 1233333333300001000 1231233333300000100 1230033333033300010 0000000000012300001 AUT: 20736 $1z^{0}+9z^{4}+75z^{8}+267z^{12}+672z^{16} dd-2$\\ ?5 19 4 _5 15 1110000000000010000 1233333333300001000 1231233333300000100 1230033333033300010 0000012300000000001 AUT: 20736 $1z^{0}+9z^{4}+39z^{8}+339z^{12}+636z^{16} dd-2$\\ ?5 19 4 _5 16 1110000000000010000 1233333333300001000 1231233333300000100 0000012300000000010 0000000000033300001 AUT: 373248 $1z^{0}+12z^{4}+54z^{8}+300z^{12}+657z^{16} dd-2$\\ ?5 19 4 _5 17 1110000000000010000 1233333333300001000 1231233333300000100 0000000000033300010 0000000000012300001 AUT: 622080 $1z^{0}+21z^{4}+99z^{8}+183z^{12}+720z^{16} dd-2$\\ ?5 19 4 _5 18 1110000000000010000 0003333333333301000 0001222223333300100 0000333301230000010 1230000000000000001 AUT: 51840 $1z^{0}+15z^{4}+21z^{8}+357z^{12}+630z^{16} dd-2$\\ ?5 19 4 _5 19 1110000000000010000 0003333333333301000 0001222223333300100 0000333301230000010 0000123003333000001 AUT: 12960 $1z^{0}+3z^{4}+45z^{8}+345z^{12}+630z^{16} dd-2$\\ ?5 19 4 _5 20 1110000000000010000 1233333000000001000 1231233000000000100 0000000333333300010 0000000123000000001 AUT: 124416 $1z^{0}+9z^{4}+87z^{8}+243z^{12}+684z^{16} dd-2$\\ ?5 19 4 _5 21 1110000000000010000 0003333333000001000 0001122330300000100 1230000000000000010 0000000000033300001 AUT: 777600 $1z^{0}+18z^{4}+60z^{8}+270z^{12}+675z^{16} dd-2$\\ ?5 19 4 _5 22 1110000000000010000 0003333333000001000 0003333000333000100 0003300330330300010 1230000000000000001 AUT: 362880 $1z^{0}+15z^{4}+21z^{8}+357z^{12}+630z^{16} dd-2$\\ ?5 19 4 _5 23 1110000000000010000 0003333333000001000 0003333000333000100 0003300330330300010 0003030303303300001 AUT: 580608 $1z^{0}+3z^{4}+45z^{8}+345z^{12}+630z^{16} dd-2$\\ DIFFERENT ENUMERATORS :23 ALL CODES: 23 1 1 AUT: 2592 $1z^{0}+3z^{4}+9z^{8}+417z^{12}+594z^{16} dd-2$\\ 2 1 AUT: 20736 $1z^{0}+3z^{4}+9z^{8}+417z^{12}+594z^{16} dd-2$\\ 3 1 AUT: 5184 $1z^{0}+6z^{4}+12z^{8}+402z^{12}+603z^{16} dd-2$\\ 4 1 AUT: 20736 $1z^{0}+6z^{4}+12z^{8}+402z^{12}+603z^{16} dd-2$\\ 5 1 AUT: 1728 $1z^{0}+6z^{4}+36z^{8}+354z^{12}+627z^{16} dd-2$\\ 6 1 AUT: 432 $1z^{0}+3z^{4}+45z^{8}+345z^{12}+630z^{16} dd-2$\\ 7 1 AUT: 10368 $1z^{0}+6z^{4}+48z^{8}+330z^{12}+639z^{16} dd-2$\\ 8 1 AUT: 1728 $1z^{0}+3z^{4}+57z^{8}+321z^{12}+642z^{16} dd-2$\\ 9 1 AUT: 5184 $1z^{0}+6z^{4}+84z^{8}+258z^{12}+675z^{16} dd-2$\\ 10 1 AUT: 2592 $1z^{0}+6z^{4}+48z^{8}+330z^{12}+639z^{16} dd-2$\\ 11 1 AUT: 31104 $1z^{0}+9z^{4}+51z^{8}+315z^{12}+648z^{16} dd-2$\\ 12 1 AUT: 77760 $1z^{0}+18z^{4}+60z^{8}+270z^{12}+675z^{16} dd-2$\\ 13 1 AUT: 31104 $1z^{0}+9z^{4}+27z^{8}+363z^{12}+624z^{16} dd-2$\\ 14 1 AUT: 20736 $1z^{0}+9z^{4}+75z^{8}+267z^{12}+672z^{16} dd-2$\\ 15 1 AUT: 20736 $1z^{0}+9z^{4}+39z^{8}+339z^{12}+636z^{16} dd-2$\\ 16 1 AUT: 373248 $1z^{0}+12z^{4}+54z^{8}+300z^{12}+657z^{16} dd-2$\\ 17 1 AUT: 622080 $1z^{0}+21z^{4}+99z^{8}+183z^{12}+720z^{16} dd-2$\\ 18 1 AUT: 51840 $1z^{0}+15z^{4}+21z^{8}+357z^{12}+630z^{16} dd-2$\\ 19 1 AUT: 12960 $1z^{0}+3z^{4}+45z^{8}+345z^{12}+630z^{16} dd-2$\\ 20 1 AUT: 124416 $1z^{0}+9z^{4}+87z^{8}+243z^{12}+684z^{16} dd-2$\\ 21 1 AUT: 777600 $1z^{0}+18z^{4}+60z^{8}+270z^{12}+675z^{16} dd-2$\\ 22 1 AUT: 362880 $1z^{0}+15z^{4}+21z^{8}+357z^{12}+630z^{16} dd-2$\\ 23 1 AUT: 580608 $1z^{0}+3z^{4}+45z^{8}+345z^{12}+630z^{16} dd-2$\\