Extension: [5,5,1] to [21,5,8] 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--21; Till dimension 2--21; Till dimension 3--21; Till dimension 4--21; Till dimension 5--21; The minimum distance of the dual codes is: 2 ======================== Start matrix 1 22 E 1111111000000000100001 0000000000000000010002 0000000000000000001003 0000000000000000000104 0000000000000000000015 ?5 21 4 _5 1 111111100000000010000 112233033333333301000 332211011122233300100 301212322323313300010 302121323232331300001 AUT: 1152 $1z^{0}+3z^{8}+141z^{12}+792z^{16}+87z^{20} dd-3$\\ ?5 21 4 _5 2 111111100000000010000 112233033333333301000 332211011122233300100 102323110033320000010 003333033012311000001 AUT: 384 $1z^{0}+6z^{8}+132z^{12}+801z^{16}+84z^{20} dd-3$\\ ?5 21 4 _5 3 111111100000000010000 112233033333333301000 332211011122233300100 102323123030013000010 030330303020001000001 AUT: 1728 $1z^{0}+9z^{8}+135z^{12}+786z^{16}+93z^{20} dd-2$\\ ?5 21 4 _5 4 111111100000000010000 112233033333333301000 332211011122233300100 102323123030013000010 300303330002001000001 AUT: 2304 $1z^{0}+9z^{8}+123z^{12}+810z^{16}+81z^{20} dd-3$\\ ?5 21 4 _5 5 111111100000000010000 112233033333333301000 332211011122233300100 102323123030013000010 102323132003031000001 AUT: 9216 $1z^{0}+6z^{8}+132z^{12}+801z^{16}+84z^{20} dd-3$\\ ?5 21 4 _5 6 111111100000000010000 112233033333333301000 332211011122233300100 102323123030013000010 310213231032003000001 AUT: 576 $1z^{0}+3z^{8}+141z^{12}+792z^{16}+87z^{20} dd-3$\\ ?5 21 4 _5 7 111111100000000010000 112233033333333301000 332211011122233300100 303030330020010000010 030330303020010000001 AUT: 16128 $1z^{0}+21z^{8}+111z^{12}+798z^{16}+93z^{20} dd-2$\\ ?5 21 4 _5 8 111111100000000010000 112233033333333301000 332211011122233300100 303030330020010000010 303030303002001000001 AUT: 55296 $1z^{0}+18z^{8}+96z^{12}+837z^{16}+72z^{20} dd-3$\\ ?5 21 4 _5 9 111111100000000010000 112233033333333301000 231312011223333300100 323121013231233300010 033003300000012300001 AUT: 972 $1z^{0}+9z^{8}+123z^{12}+810z^{16}+81z^{20} dd-3$\\ ?5 21 4 _5 10 111111100000000010000 112233033333333301000 231312011223333300100 131232030201230000010 131232003020231000001 AUT: 3456 $1z^{0}+12z^{8}+126z^{12}+795z^{16}+90z^{20} dd-2$\\ ?5 21 4 _5 11 111111100000000010000 112233033333333301000 231312011223333300100 031322130201230000010 331012203020231000001 AUT: 576 $1z^{0}+3z^{8}+141z^{12}+792z^{16}+87z^{20} dd-3$\\ ?5 21 4 _5 12 111111100000000010000 112233033333333301000 331122012223333300100 303030301233333000010 303030300001230000001 AUT: 1152 $1z^{0}+15z^{8}+105z^{12}+828z^{16}+75z^{20} dd-3$\\ ?5 21 4 _5 13 111111100000000010000 112233033333333301000 331122012223333300100 303030301230000000010 303030300001230000001 AUT: 5184 $1z^{0}+21z^{8}+99z^{12}+822z^{16}+81z^{20} dd-2$\\ ?5 21 4 _5 14 111111100000000010000 112233033333333301000 331122012223333300100 303030300001230000010 000000001233333000001 AUT: 6912 $1z^{0}+18z^{8}+96z^{12}+837z^{16}+72z^{20} dd-3$\\ ?5 21 4 _5 15 111111100000000010000 112233033333333301000 131223012233333300100 312333303012300000010 331323302000012300001 AUT: 3456 $1z^{0}+12z^{8}+114z^{12}+819z^{16}+78z^{20} dd-3$\\ ?5 21 4 _5 16 111111100000000010000 112233033333333301000 102323112333333300100 030330300123000000010 030330300000123000001 AUT: 552960 $1z^{0}+30z^{8}+60z^{12}+873z^{16}+60z^{20} dd-3$\\ DIFFERENT ENUMERATORS :15 ALL CODES: 16 1 1 AUT: 1152 $1z^{0}+3z^{8}+141z^{12}+792z^{16}+87z^{20} dd-3$\\ 2 1 AUT: 384 $1z^{0}+6z^{8}+132z^{12}+801z^{16}+84z^{20} dd-3$\\ 3 1 AUT: 1728 $1z^{0}+9z^{8}+135z^{12}+786z^{16}+93z^{20} dd-2$\\ 4 1 AUT: 2304 $1z^{0}+9z^{8}+123z^{12}+810z^{16}+81z^{20} dd-3$\\ 5 1 AUT: 9216 $1z^{0}+6z^{8}+132z^{12}+801z^{16}+84z^{20} dd-3$\\ 6 2 AUT: 576 $1z^{0}+3z^{8}+141z^{12}+792z^{16}+87z^{20} dd-3$\\ 7 1 AUT: 16128 $1z^{0}+21z^{8}+111z^{12}+798z^{16}+93z^{20} dd-2$\\ 8 1 AUT: 55296 $1z^{0}+18z^{8}+96z^{12}+837z^{16}+72z^{20} dd-3$\\ 9 1 AUT: 972 $1z^{0}+9z^{8}+123z^{12}+810z^{16}+81z^{20} dd-3$\\ 10 1 AUT: 3456 $1z^{0}+12z^{8}+126z^{12}+795z^{16}+90z^{20} dd-2$\\ 11 1 AUT: 1152 $1z^{0}+15z^{8}+105z^{12}+828z^{16}+75z^{20} dd-3$\\ 12 1 AUT: 5184 $1z^{0}+21z^{8}+99z^{12}+822z^{16}+81z^{20} dd-2$\\ 13 1 AUT: 6912 $1z^{0}+18z^{8}+96z^{12}+837z^{16}+72z^{20} dd-3$\\ 14 1 AUT: 3456 $1z^{0}+12z^{8}+114z^{12}+819z^{16}+78z^{20} dd-3$\\ 15 1 AUT: 552960 $1z^{0}+30z^{8}+60z^{12}+873z^{16}+60z^{20} dd-3$\\