Extension: [54,8,9] to [55,9,9] Number of the matrices for extension:11 Weights: 9 18 27 36 45 54 Maximal number for proportional coordinatesTill dimension 1--55; Till dimension 2--55; Till dimension 3--55; Till dimension 4--55; Till dimension 5--55; Till dimension 6--55; Till dimension 7--55; Till dimension 8--55; Till dimension 9--55; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 9 55 1 1111111100000000000000000000000000000000000000100000000 2221110022222222222222222222000000000000000000010000000 1112220022222222222211111100220000000000000000001000000 1112220022222211111122222200002200000000000000000100000 1112220011111122222222222200000022000000000000000010000 0000000022211100000000000000000000220000000000000001000 0000000000000022211100000000000000002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 Start matrix 1 9 55 2 1111111100000000000000000000000000000000000000100000000 2221110022222222222222222222000000000000000000010000000 1112220022222222222211111100220000000000000000001000000 1112220022222211111122222200002200000000000000000100000 2221110011100022200022200000000022000000000000000010000 2221110011100000022200022200000000220000000000000001000 2221110000011122200000022200000000002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 Start matrix 1 9 55 3 1111111100000000000000000000000000000000000000100000000 2221110022222222222222222222000000000000000000010000000 1112220022222222222211111100220000000000000000001000000 1112220022222211111122222200002200000000000000000100000 0000000022211100000000000000000022000000000000000010000 0000000000000022211100000000000000220000000000000001000 0000000000000000000022211100000000002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 Start matrix 1 9 55 4 1111111100000000000000000000000000000000000000100000000 2221110022222222222222222222000000000000000000010000000 1112220022222222222211111100220000000000000000001000000 2221110022211100000022200000002200000000000000000100000 2221110011122200000000022200000022000000000000000010000 0000000000022222222222211100000000220000000000000001000 0000000000000022211100000000000000002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 Start matrix 1 9 55 5 1111111100000000000000000000000000000000000000100000000 2221110022222222222222222222000000000000000000010000000 1112220022222222222211111100220000000000000000001000000 2221110022211100000022200000002200000000000000000100000 2221110011122200000000022200000022000000000000000010000 0000000000022222222222211100000000220000000000000001000 0000000022200022222211122200000000002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 Start matrix 1 9 55 6 1111111100000000000000000000000000000000000000100000000 2221110022222222222000000000000000000000000000010000000 2102102122221111000222000000000000000000000000001000000 0211022121002210211221000000000000000000000000000100000 0000000000212100021210000000000000000000000000000010000 0000000000000000000000222222220000000000000000000001000 0000000000000000000000000000002222222200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 Start matrix 1 9 55 7 1111111100000000000000000000000000000000000000100000000 2221110022222222222000000000000000000000000000010000000 2221110022222211100220000000000000000000000000001000000 1112220022222200000002222200000000000000000000000100000 1112220022222200000001110022000000000000000000000010000 0000000022211100000000000000220000000000000000000001000 0000000000000000000000000000002222222200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 Start matrix 1 9 55 8 1111111100000000000000000000000000000000000000100000000 2221110022222222222000000000000000000000000000010000000 2221110022222211100220000000000000000000000000001000000 1112220022222200000002222200000000000000000000000100000 1112220022222200000001110022000000000000000000000010000 0000000000000000000000000000222222220000000000000001000 0000000000000000000000000000222111002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 ?9 55 3 99999998_9 1 1111111100000000000000000000000000000000000000100000000 2221110022222222222000000000000000000000000000010000000 2221110022222211100220000000000000000000000000001000000 1112220022222200000002222200000000000000000000000100000 1112220022222200000001110022000000000000000000000010000 0000000000000000000000000000222222220000000000000001000 0000000000000000000000000000222111002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000120120121200000000000000001 AUT: 58226688 $1z^{0}+34z^{9}+340z^{18}+3788z^{27}+9488z^{36}+6032z^{45} dd-2$\\ Start matrix 1 9 55 9 1111111100000000000000000000000000000000000000100000000 0000000022222222222222222000000000000000000000010000000 0000000022222211111100000222220000000000000000001000000 0000000022211122200011100222002200000000000000000100000 0000000011122200022211100222000022000000000000000010000 0000000011100022211122200222000000220000000000000001000 2221110000000000000000000000000000002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 ?9 55 3 99999999_9 2 1111111100000000000000000000000000000000000000100000000 0000000022222222222222222000000000000000000000010000000 0000000022222211111100000222220000000000000000001000000 0000000022211122200011100222002200000000000000000100000 0000000011122200022211100222000022000000000000000010000 0000000011100022211122200222000000220000000000000001000 2221110000000000000000000000000000002200000000000000100 0000000000000000000000000000000000000011111111000000010 1201201200000000000000000000000000001200000000000000001 AUT: 355829760 $1z^{0}+28z^{9}+184z^{18}+3806z^{27}+9944z^{36}+5720z^{45} dd-2$\\ Start matrix 1 9 55 10 1111111100000000000000000000000000000000000000100000000 0000000022222222222222222000000000000000000000010000000 0000000022222211111100000222220000000000000000001000000 0000000022211122200011100222002200000000000000000100000 0000000011122200022211100222000022000000000000000010000 0000000011100022211122200222000000220000000000000001000 0000000000011111122222200222000000002200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 Start matrix 1 9 55 11 1111111100000000000000000000000000000000000000100000000 2221110022000000000000000000000000000000000000010000000 0000000000222222220000000000000000000000000000001000000 0000000000222111002200000000000000000000000000000100000 0000000000000000000022222222000000000000000000000010000 0000000000000000000022211100220000000000000000000001000 0000000000000000000000000000002222222200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000000000000000000000000000000000000001 ?9 55 3 999999911_9 3 1111111100000000000000000000000000000000000000100000000 2221110022000000000000000000000000000000000000010000000 0000000000222222220000000000000000000000000000001000000 0000000000222111002200000000000000000000000000000100000 0000000000000000000022222222000000000000000000000010000 0000000000000000000022211100220000000000000000000001000 0000000000000000000000000000002222222200000000000000100 0000000000000000000000000000000000000011111111000000010 0000000000000000000012012012120000000000000000000000001 AUT: 414056448 $1z^{0}+46z^{9}+652z^{18}+3752z^{27}+8576z^{36}+6656z^{45} dd-2$\\ DIFFERENT ENUMERATORS :3 ALL CODES: 3 1 1 AUT: 58226688 $1z^{0}+34z^{9}+340z^{18}+3788z^{27}+9488z^{36}+6032z^{45} dd-2$\\ 2 1 AUT: 355829760 $1z^{0}+28z^{9}+184z^{18}+3806z^{27}+9944z^{36}+5720z^{45} dd-2$\\ 3 1 AUT: 414056448 $1z^{0}+46z^{9}+652z^{18}+3752z^{27}+8576z^{36}+6656z^{45} dd-2$\\