Extension: [51,7,18] to [52,8,18] Number of the matrices for extension:31 Weights: 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--52; Till dimension 2--52; Till dimension 3--52; Till dimension 4--52; Till dimension 5--52; Till dimension 6--52; Till dimension 7--52; Till dimension 8--52; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 52 1 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2200110011221122022222222210222211110002222200010000 2221110011102022022222221010222222212222220000001000 1011001121220022221111101120222122222221110000000100 0000212100000021002100000000222022202220000000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 2 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2200110011221122022222222210222211110002222200010000 2221110011102022022222221010222222212222220000001000 1011001121220022221111101120222122222221110000000100 2200202111221110022221022210000200010002220000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 3 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2200110011221122022222222210222211110002222200010000 2221110011102022022222221010222222212222220000001000 2200202111221110022222102210222222212222220000000100 2111221110002200222210222210200000010002220000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 4 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2200110011221122022222222210222211110002222200010000 2221110011102022022222221010222222212222220000001000 2200202111221110022222102210222222212222220000000100 2111221110002200222210222210222222212222220000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 5 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2200110011221122022222222210222211110002222200010000 2221110011102022022222221010222222212222220000001000 2200202111221110022222102210200000010002220000000100 2111221110002200222210222210200000010002220000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 6 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2200110011221122022222222210222211110002222200010000 2221110011102022022222221010200010000002220000001000 2200202111221110022222102210200010000002220000000100 2111221110002200222210222210200010000002220000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 7 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2120102010211021222222222210222211110002222200010000 2010210112201202122222221022211122210002211100001000 2001121012022120122222102222211100012222222200000100 2102010210120112222210222222200000010002200000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 8 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2120102010211021222222222210222211110002222200010000 2010210112201202122222221022211122210002211100001000 2001121012022120122222102222211100012222222200000100 2102010210120112222210222222222222212222200000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 9 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2120102010211021222222222210222211110002222200010000 2010210112201202122222221022211122210002211100001000 2001121012022120122222102222211100012222222200000100 2102010210120112222210222222211100012222222200000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 10 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2120102010211021222222222210222211110002222200010000 2010210112201202122222221022211122210002211100001000 2001121012022120122222102222211100012222222200000100 2102010210120112222210222222222200011112211100000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 11 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2120102010211021222222222210222211110002222200010000 2010210112201202122222221022211122210002211100001000 2102010210120112222222102222200000010002200000000100 2001121012022120122210222222200000010002200000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 12 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2120102010211021222222222210222211110002222200010000 2010210112201202122222221022222210001112211100001000 2102010210120112222222102222222210001112211100000100 2001121012022120122210222222222212222222200000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 13 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2120102010211021222222222210222211110002222200010000 2010210112201202122222221022222211110002222200001000 2102010210120112222222102222222211110002222200000100 2001121012022120122210222222222211110002222200000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 14 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2211002211002211022222222222111111111110200000100000 2221202111102010022222222222222211110002222000010000 2212110011010222022222221100200010000002200200001000 2200021211221101022222102120200010000002200200000100 1022222210222222121000000000022202222220000000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 15 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121002222222220000000000100 0000000000000000022211100000002222222220002200000010 0000000000000000000000000000000000000000000000000001 ?8 52 3 88888815_8 1 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121002222222220000000000100 0000000000000000022211100000002222222220002200000010 2000222200022220012012012000000000000000001200000001 AUT: 384 $1z^{0}+48z^{18}+872z^{27}+5640z^{36} dd-3$\\ ?8 52 3 88888815_8 2 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121002222222220000000000100 0000000000000000022211100000002222222220002200000010 2111222222222220012012012011100000000000001200000001 AUT: 1728 $1z^{0}+66z^{18}+836z^{27}+5658z^{36} dd-2$\\ Start matrix 1 8 52 16 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121002222222220000000000100 2000222200022220022211100000000000000000002200000010 0000000000000000000000000000000000000000000000000001 ?8 52 3 88888816_8 3 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121002222222220000000000100 2000222200022220022211100000000000000000002200000010 0111000022200000012012012011102222222220001200000001 AUT: 1296 $1z^{0}+48z^{18}+872z^{27}+5640z^{36} dd-3$\\ Start matrix 1 8 52 17 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121002222222220000000000100 0222000101100000022211100022200000000000002200000010 0000000000000000000000000000000000000000000000000001 ?8 52 3 88888817_8 4 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121002222222220000000000100 0222000101100000022211100022200000000000002200000010 2000222020022220012012012000002222222220001200000001 AUT: 2592 $1z^{0}+48z^{18}+872z^{27}+5640z^{36} dd-3$\\ Start matrix 1 8 52 18 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121002222222220000000000100 2111222222222220022211100011102222222220002200000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 19 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2111222222222220022211100011102222222220002200000100 0000000000000000021021021000002222222220002100000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 20 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2111222222222220011111111111102102102100210000001000 2210222221022222111111111121000000000000000000000100 2111222222222220022211100011100000000000002200000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 21 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2222222211122220011111111122202102102100210000001000 2222222211122220022211100022202222222220002200000100 2000222200022220021021021000000000000000002100000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 22 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2222222211122220011111111122202102102100210000001000 2222222211122220022211100022202222222220002200000100 0210000021000002100000000021002222222220000000000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 23 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2222222211122220011111111122202102102100210000001000 2210222221022222100000000021002222222220000000000100 0000000000000000022211100000002222222220002200000010 0000000000000000000000000000000000000000000000000001 ?8 52 3 88888823_8 5 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2111222222222220022222222211102221110000220000010000 2222222211122220011111111122202102102100210000001000 2210222221022222100000000021002222222220000000000100 0000000000000000022211100000002222222220002200000010 2000222200022220012012012000000000000000001200000001 AUT: 186624 $1z^{0}+48z^{18}+872z^{27}+5640z^{36} dd-3$\\ Start matrix 1 8 52 24 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2222222211122220022222222222202221110000220000010000 2111222222222220011111111111102102102100210000001000 2222222211122220022222211100002222222220002200000100 2000222200022220021000021021000000000000002100000010 0000000000000000000000000000000000000000000000000001 ?8 52 3 88888824_8 6 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2222222211122220022222222222202221110000220000010000 2111222222222220011111111111102102102100210000001000 2222222211122220022222211100002222222220002200000100 2000222200022220021000021021000000000000002100000010 0120000012000001222122022222202222222220000000000001 AUT: 31104 $1z^{0}+66z^{18}+836z^{27}+5658z^{36} dd-2$\\ Start matrix 1 8 52 25 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2222222211122220022222222222202221110000220000010000 2111222222222220011111111111102102102100210000001000 2222222211122220022222211100000000000000002200000100 2000222200022220021000021021000000000000002100000010 0000000000000000000000000000000000000000000000000001 ?8 52 3 88888825_8 7 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2222222211122220022222222222202221110000220000010000 2111222222222220011111111111102102102100210000001000 2222222211122220022222211100000000000000002200000100 2000222200022220021000021021000000000000002100000010 0120000012000001222122022222200000000000000000000001 AUT: 124416 $1z^{0}+84z^{18}+800z^{27}+5676z^{36} dd-2$\\ Start matrix 1 8 52 26 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2222222211122220022222222222202221110000220000010000 2210222221022222121111111111002222222220000000001000 2222222211122220022222111000201111111110002200000100 2000222200022220002100210210000000000000002100000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 27 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2210222221022222122222222221002222222220000000010000 2100000210000021011111111100212222222220000000001000 0000000000000000022222222200002221110000220000000100 0000000000000000022211100000002222222220002200000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 28 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2210222221022222122222222221002222222220000000010000 2100000210000021022222222200212222222220000000001000 0000000000000000022222222200002221110000220000000100 0000000000000000022211100000002222222220002200000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 29 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2210222221022222121000000000002222222220000000010000 2000222200022220000222111000001111111110220000001000 2000222200022220000210210210002222222220210000000100 2000222200022220000000000000002221110000002200000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 30 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 2222102111102100022222222222221111111111000000100000 2210222221022222121000000000002222222220000000010000 2100000210000021000210000000002222222220000000001000 0000000000000000000002222222222221110000220000000100 0000000000000000000002221110002222222220002200000010 0000000000000000000000000000000000000000000000000001 Start matrix 1 8 52 31 1111111111111111100000000000000000000000000010000000 2222221111110000022222222222222222222222000001000000 1111112222220000022222222222211111111100220000100000 2222221111110000022211100000022222200000002200010000 2222102111102100000000000000022221000000000000001000 2210221211010021000000000000022102200000000000000100 2011110021002222100000000000010222200000000000000010 0000000000000000000000000000000000000000000000000001 DIFFERENT ENUMERATORS :7 ALL CODES: 7 1 1 AUT: 384 $1z^{0}+48z^{18}+872z^{27}+5640z^{36} dd-3$\\ 2 1 AUT: 1728 $1z^{0}+66z^{18}+836z^{27}+5658z^{36} dd-2$\\ 3 1 AUT: 1296 $1z^{0}+48z^{18}+872z^{27}+5640z^{36} dd-3$\\ 4 1 AUT: 2592 $1z^{0}+48z^{18}+872z^{27}+5640z^{36} dd-3$\\ 5 1 AUT: 186624 $1z^{0}+48z^{18}+872z^{27}+5640z^{36} dd-3$\\ 6 1 AUT: 31104 $1z^{0}+66z^{18}+836z^{27}+5658z^{36} dd-2$\\ 7 1 AUT: 124416 $1z^{0}+84z^{18}+800z^{27}+5676z^{36} dd-2$\\