Extension: [5,5,1] to [22,5,8] 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--22; Till dimension 2--22; Till dimension 3--22; Till dimension 4--22; Till dimension 5--22; The minimum distance of the dual codes is: 2 ======================== Start matrix 1 23 E 11111110000000000100001 00000000000000000010002 00000000000000000001003 00000000000000000000104 00000000000000000000015 ?5 22 4 _5 1 1111111000000000010000 1122330333333333001000 3322110111222333000100 2013132200230300300010 0033330033312011000001 AUT: 768 $1z^{0}+6z^{8}+84z^{12}+705z^{16}+228z^{20} dd-2$\\ ?5 22 4 _5 2 1111111000000000010000 1122330333333333001000 3322110111222333000100 3322110330330000300010 3300330330220123000001 AUT: 576 $1z^{0}+6z^{8}+132z^{12}+609z^{16}+276z^{20} dd-2$\\ ?5 22 4 _5 3 1111111000000000010000 1122330333333333001000 3322110111222333000100 3030303120130230300010 0000000022101033300001 AUT: 2304 $1z^{0}+6z^{8}+48z^{12}+777z^{16}+192z^{20} dd-3$\\ ?5 22 4 _5 4 1111111000000000010000 1122330333333333001000 3322110111222333000100 3030303120130230300010 3030303003002001000001 AUT: 3456 $1z^{0}+9z^{8}+51z^{12}+762z^{16}+201z^{20} dd-2$\\ ?5 22 4 _5 5 1111111000000000010000 1122330333333333001000 3322110111222333000100 3030303120130230300010 3030303012301023200001 AUT: 3456 $1z^{0}+3z^{8}+57z^{12}+768z^{16}+195z^{20} dd-3$\\ ?5 22 4 _5 6 1111111000000000010000 1122330333333333001000 3322110111222333000100 3300330330220123000010 3333000330000000300001 AUT: 1152 $1z^{0}+12z^{8}+114z^{12}+627z^{16}+270z^{20} dd-2$\\ ?5 22 4 _5 7 1111111000000000010000 1122330333333333001000 3322110111222333000100 3030303300200100000010 0000000033022011300001 AUT: 13824 $1z^{0}+12z^{8}+78z^{12}+699z^{16}+234z^{20} dd-2$\\ ?5 22 4 _5 8 1111111000000000010000 1122330333333333001000 3322110111222333000100 0000000000123123300010 0000000123000123300001 AUT: 1728 $1z^{0}+12z^{8}+78z^{12}+699z^{16}+234z^{20} dd-2$\\ ?5 22 4 _5 9 1111111000000000010000 1122330333333333001000 1312230112223330300100 0330303001230000000010 0330303000001230000001 AUT: 6912 $1z^{0}+18z^{8}+48z^{12}+741z^{16}+216z^{20} dd-2$\\ ?5 22 4 _5 10 1111111000000000010000 1122330333333333001000 1122330112233330300100 1122330132312303300010 0000000021020133300001 AUT: 96768 $1z^{0}+24z^{8}+42z^{12}+735z^{16}+222z^{20} dd-2$\\ ?5 22 4 _5 11 1111111000000000010000 1122330333333333001000 1122330112233330300100 1122330132312303300010 3030303021020133300001 AUT: 9216 $1z^{0}+12z^{8}+30z^{12}+795z^{16}+186z^{20} dd-3$\\ ?5 22 4 _5 12 1111111000000000010000 1122330333333333001000 1122330112233330300100 1023231132312303300010 0303303021020133300001 AUT: 4608 $1z^{0}+6z^{8}+48z^{12}+777z^{16}+192z^{20} dd-3$\\ ?5 22 4 _5 13 1111111000000000010000 1122330333333333001000 1023231112233330300100 3131202233312332000010 0330033202201223000001 AUT: 2304 $1z^{0}+6z^{8}+84z^{12}+705z^{16}+228z^{20} dd-2$\\ ?5 22 4 _5 14 1111111000000000010000 1122330333333333001000 1023231112233330300100 0132231133323333000010 3030303010003002000001 AUT: 18432 $1z^{0}+18z^{8}+48z^{12}+741z^{16}+216z^{20} dd-2$\\ ?5 22 4 _5 15 1111111000000000010000 1122330333333333001000 1023231112233330300100 2333313113323330000010 0303303000001230000001 AUT: 576 $1z^{0}+9z^{8}+87z^{12}+690z^{16}+237z^{20} dd-2$\\ ?5 22 4 _5 16 1111111000000000010000 1122330333333333001000 3311220122233333000100 1122330033012300000010 3333000033000000300001 AUT: 3456 $1z^{0}+24z^{8}+78z^{12}+663z^{16}+258z^{20} dd-2$\\ ?5 22 4 _5 17 1111111000000000010000 1122330333333333001000 3311220122233333000100 1122330033012300000010 3322110000000000300001 AUT: 8640 $1z^{0}+30z^{8}+60z^{12}+681z^{16}+252z^{20} dd-2$\\ ?5 22 4 _5 18 1111111000000000010000 1122330333333333001000 3311220122233333000100 1122330033012300000010 3333000033033330300001 AUT: 288 $1z^{0}+18z^{8}+84z^{12}+669z^{16}+252z^{20} dd-2$\\ ?5 22 4 _5 19 1111111000000000010000 1122330333333333001000 3311220122233333000100 3322110000033330300010 0000000012333330000001 AUT: 576 $1z^{0}+12z^{8}+162z^{12}+531z^{16}+318z^{20} dd-2$\\ ?5 22 4 _5 20 1111111000000000010000 1122330333333333001000 3311220122233333000100 3322110000000000300010 0000000012333330000001 AUT: 8640 $1z^{0}+24z^{8}+126z^{12}+567z^{16}+306z^{20} dd-2$\\ ?5 22 4 _5 21 1111111000000000010000 1233333333333330001000 1233333111222003300100 2313333222333002300010 0003333000123000000001 AUT: 432 $1z^{0}+18z^{8}+156z^{12}+525z^{16}+324z^{20} dd-2$\\ ?5 22 4 _5 22 1111111000000000010000 1233333333333330001000 3123333112223303000100 2313333331221100300010 1231230003000000000001 AUT: 720 $1z^{0}+15z^{8}+93z^{12}+660z^{16}+255z^{20} dd-2$\\ ?5 22 4 _5 23 1111111000000000010000 1122330333330000001000 2233110223303000000100 3300330332200333000010 0033330113300330300001 AUT: 1728 $1z^{0}+6z^{8}+180z^{12}+513z^{16}+324z^{20} dd-2$\\ ?5 22 4 _5 24 1111111000000000010000 1122330333330000001000 1122330330003330000100 1122330003303303000010 0000000333303300300001 AUT: 12096 $1z^{0}+24z^{8}+126z^{12}+567z^{16}+306z^{20} dd-2$\\ ?5 22 4 _5 25 1111111000000000010000 1122330333330000001000 1122330330003330000100 1122330003303303000010 3322110000000000300001 AUT: 8640 $1z^{0}+24z^{8}+126z^{12}+567z^{16}+306z^{20} dd-2$\\ ?5 22 4 _5 26 1111111000000000010000 1122330333330000001000 1122330330003330000100 3300330223303303000010 0033330220000000300001 AUT: 576 $1z^{0}+12z^{8}+162z^{12}+531z^{16}+318z^{20} dd-2$\\ ?5 22 4 _5 27 1111111000000000010000 1233333333300000001000 3123333122300000000100 2313333010033300000010 0003333000000033300001 AUT: 72 $1z^{0}+36z^{8}+174z^{12}+435z^{16}+378z^{20} dd-2$\\ ?5 22 4 _5 28 1111111000000000010000 1233333333300000001000 3123333122300000000100 2313333010033300000010 1230000030000033300001 AUT: 72 $1z^{0}+33z^{8}+183z^{12}+426z^{16}+381z^{20} dd-2$\\ ?5 22 4 _5 29 1111111000000000010000 1233333333300000001000 3123333122300000000100 0003333000033300000010 0003333000000033300001 AUT: 864 $1z^{0}+42z^{8}+168z^{12}+429z^{16}+384z^{20} dd-2$\\ ?5 22 4 _5 30 1111111000000000010000 3333000333333300001000 3300330333333030000100 0033330330000003000010 0033330003300000300001 AUT: 11520 $1z^{0}+30z^{8}+108z^{12}+585z^{16}+300z^{20} dd-2$\\ ?5 22 4 _5 31 1111111000000000010000 1122330300000000001000 3322110030000000000100 0000000003333333000010 0000000001122330300001 AUT: 777600 $1z^{0}+60z^{8}+18z^{12}+675z^{16}+270z^{20} dd-2$\\ DIFFERENT ENUMERATORS :29 ALL CODES: 31 1 1 AUT: 768 $1z^{0}+6z^{8}+84z^{12}+705z^{16}+228z^{20} dd-2$\\ 2 1 AUT: 576 $1z^{0}+6z^{8}+132z^{12}+609z^{16}+276z^{20} dd-2$\\ 3 1 AUT: 2304 $1z^{0}+6z^{8}+48z^{12}+777z^{16}+192z^{20} dd-3$\\ 4 1 AUT: 3456 $1z^{0}+9z^{8}+51z^{12}+762z^{16}+201z^{20} dd-2$\\ 5 1 AUT: 3456 $1z^{0}+3z^{8}+57z^{12}+768z^{16}+195z^{20} dd-3$\\ 6 1 AUT: 1152 $1z^{0}+12z^{8}+114z^{12}+627z^{16}+270z^{20} dd-2$\\ 7 1 AUT: 13824 $1z^{0}+12z^{8}+78z^{12}+699z^{16}+234z^{20} dd-2$\\ 8 1 AUT: 1728 $1z^{0}+12z^{8}+78z^{12}+699z^{16}+234z^{20} dd-2$\\ 9 1 AUT: 6912 $1z^{0}+18z^{8}+48z^{12}+741z^{16}+216z^{20} dd-2$\\ 10 1 AUT: 96768 $1z^{0}+24z^{8}+42z^{12}+735z^{16}+222z^{20} dd-2$\\ 11 1 AUT: 9216 $1z^{0}+12z^{8}+30z^{12}+795z^{16}+186z^{20} dd-3$\\ 12 1 AUT: 4608 $1z^{0}+6z^{8}+48z^{12}+777z^{16}+192z^{20} dd-3$\\ 13 1 AUT: 2304 $1z^{0}+6z^{8}+84z^{12}+705z^{16}+228z^{20} dd-2$\\ 14 1 AUT: 18432 $1z^{0}+18z^{8}+48z^{12}+741z^{16}+216z^{20} dd-2$\\ 15 1 AUT: 576 $1z^{0}+9z^{8}+87z^{12}+690z^{16}+237z^{20} dd-2$\\ 16 1 AUT: 3456 $1z^{0}+24z^{8}+78z^{12}+663z^{16}+258z^{20} dd-2$\\ 17 1 AUT: 8640 $1z^{0}+30z^{8}+60z^{12}+681z^{16}+252z^{20} dd-2$\\ 18 1 AUT: 288 $1z^{0}+18z^{8}+84z^{12}+669z^{16}+252z^{20} dd-2$\\ 19 2 AUT: 576 $1z^{0}+12z^{8}+162z^{12}+531z^{16}+318z^{20} dd-2$\\ 20 2 AUT: 8640 $1z^{0}+24z^{8}+126z^{12}+567z^{16}+306z^{20} dd-2$\\ 21 1 AUT: 432 $1z^{0}+18z^{8}+156z^{12}+525z^{16}+324z^{20} dd-2$\\ 22 1 AUT: 720 $1z^{0}+15z^{8}+93z^{12}+660z^{16}+255z^{20} dd-2$\\ 23 1 AUT: 1728 $1z^{0}+6z^{8}+180z^{12}+513z^{16}+324z^{20} dd-2$\\ 24 1 AUT: 12096 $1z^{0}+24z^{8}+126z^{12}+567z^{16}+306z^{20} dd-2$\\ 25 1 AUT: 72 $1z^{0}+36z^{8}+174z^{12}+435z^{16}+378z^{20} dd-2$\\ 26 1 AUT: 72 $1z^{0}+33z^{8}+183z^{12}+426z^{16}+381z^{20} dd-2$\\ 27 1 AUT: 864 $1z^{0}+42z^{8}+168z^{12}+429z^{16}+384z^{20} dd-2$\\ 28 1 AUT: 11520 $1z^{0}+30z^{8}+108z^{12}+585z^{16}+300z^{20} dd-2$\\ 29 1 AUT: 777600 $1z^{0}+60z^{8}+18z^{12}+675z^{16}+270z^{20} dd-2$\\