Extension: [51,7,18] to [54,8,18] Number of the matrices for extension:31 Weights: 18 27 36 45 54 Maximal number for proportional coordinatesTill dimension 1--54; Till dimension 2--54; Till dimension 3--54; Till dimension 4--54; Till dimension 5--54; Till dimension 6--54; Till dimension 7--54; Till dimension 8--54; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 54 1 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 220011001122112202222222221022221111000222220000010000 222111001110202202222222101022222221222222000000001000 101100112122002222111110112022212222222111000000000100 000021210000002100210000000022202220222000000000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 2 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 220011001122112202222222221022221111000222220000010000 222111001110202202222222101022222221222222000000001000 101100112122002222111110112022212222222111000000000100 220020211122111002222102221000020001000222000000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 3 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 220011001122112202222222221022221111000222220000010000 222111001110202202222222101022222221222222000000001000 220020211122111002222210221022222221222222000000000100 211122111000220022221022221020000001000222000000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 4 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 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222111001110202202222222101020001000000222000000001000 220020211122111002222210221020001000000222000000000100 211122111000220022221022221020001000000222000000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 7 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 212010201021102122222222221022221111000222220000010000 201021011220120212222222102221112221000221110000001000 200112101202212012222210222221110001222222220000000100 210201021012011222221022222220000001000220000000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 8 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 212010201021102122222222221022221111000222220000010000 201021011220120212222222102221112221000221110000001000 200112101202212012222210222221110001222222220000000100 210201021012011222221022222222222221222220000000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 9 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 212010201021102122222222221022221111000222220000010000 201021011220120212222222102221112221000221110000001000 200112101202212012222210222221110001222222220000000100 210201021012011222221022222221110001222222220000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 10 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 212010201021102122222222221022221111000222220000010000 201021011220120212222222102221112221000221110000001000 200112101202212012222210222221110001222222220000000100 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000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 13 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 212010201021102122222222221022221111000222220000010000 201021011220120212222222102222221111000222220000001000 210201021012011222222210222222221111000222220000000100 200112101202212012221022222222221111000222220000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 14 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 221100221100221102222222222211111111111020000000100000 222120211110201002222222222222221111000222200000010000 221211001101022202222222110020001000000220020000001000 220002121122110102222210212020001000000220020000000100 102222221022222212100000000002220222222000000000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 15 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 222210211110210002222222222222111111111100000000100000 211122222222222002222222221110222111000022000000010000 211122222222222001111111111110210210210021000000001000 221022222102222211111111112100222222222000000000000100 000000000000000002221110000000222222222000220000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 16 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 222210211110210002222222222222111111111100000000100000 211122222222222002222222221110222111000022000000010000 211122222222222001111111111110210210210021000000001000 221022222102222211111111112100222222222000000000000100 200022220002222002221110000000000000000000220000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 17 111111111111111110000000000000000000000000000010000000 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211122222222222002222222221110222111000022000000010000 222222221112222001111111112220210210210021000000001000 222222221112222002221110002220222222222000220000000100 200022220002222002102102100000000000000000210000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 22 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 222210211110210002222222222222111111111100000000100000 211122222222222002222222221110222111000022000000010000 222222221112222001111111112220210210210021000000001000 222222221112222002221110002220222222222000220000000100 021000002100000210000000002100222222222000000000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 23 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 222210211110210002222222222222111111111100000000100000 211122222222222002222222221110222111000022000000010000 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000000000000000002221110000000222222222000220000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 28 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 222210211110210002222222222222111111111100000000100000 221022222102222212222222222100222222222000000000010000 210000021000002102222222220021222222222000000000001000 000000000000000002222222220000222111000022000000000100 000000000000000002221110000000222222222000220000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 29 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 222210211110210002222222222222111111111100000000100000 221022222102222212100000000000222222222000000000010000 200022220002222000022211100000111111111022000000001000 200022220002222000021021021000222222222021000000000100 200022220002222000000000000000222111000000220000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 30 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 222210211110210002222222222222111111111100000000100000 221022222102222212100000000000222222222000000000010000 210000021000002100021000000000222222222000000000001000 000000000000000000000222222222222111000022000000000100 000000000000000000000222111000222222222000220000000010 000000000000000000000000000000000000000000001100000001 Start matrix 1 8 54 31 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 111111222222000002222222222221111111110022000000100000 222222111111000002221110000002222220000000220000010000 222210211110210000000000000002222100000000000000001000 221022121101002100000000000002210220000000000000000100 201111002100222210000000000001022220000000000000000010 000000000000000000000000000000000000000000001100000001 ?8 54 3 88888831_8 1 111111111111111110000000000000000000000000000010000000 222222111111000002222222222222222222222200000001000000 111111222222000002222222222221111111110022000000100000 222222111111000002221110000002222220000000220000010000 222210211110210000000000000002222100000000000000001000 221022121101002100000000000002210220000000000000000100 201111002100222210000000000001022220000000000000000010 222222111111000000000001112222222220000000001100000001 AUT: 5038848 $1z^{0}+120z^{18}+580z^{27}+5058z^{36}+780z^{45}+22z^{54} dd-2$\\ DIFFERENT ENUMERATORS :1 ALL CODES: 1 1 1 AUT: 5038848 $1z^{0}+120z^{18}+580z^{27}+5058z^{36}+780z^{45}+22z^{54} dd-2$\\