Extension: [53,8,18] to [54,9,18] Number of the matrices for extension:8 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; Till dimension 9--54; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 9 54 1 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 221100221100221102222222222211111111111020000001000000 211110222120201002222111100022222222211122200000100000 122220111210102002110221021022222222222212100000010000 122220111210102002212222222222211100022210022000001000 000000000000000002202202222221021021000000021000000100 021021210201012120020010000000000000020120000000000010 000000000000000000000000000000000000000000000000000001 Start matrix 1 9 54 2 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 221100221100221102222222222211111111111020000001000000 211110222120201002222111100022222222211122200000100000 122220111210102002110221021022222222222212100000010000 122220111210102002212222222222211100022210022000001000 000000000000000002202202222221021021000000021000000100 221022102222222212202202222200000000021000000000000010 000000000000000000000000000000000000000000000000000001 Start matrix 1 9 54 3 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 221100221100221102222222222211111111111020000001000000 211110222120201002222111100022222222211122200000100000 122220111210102002110221021022222222222212100000010000 122220111210102002212222222222211100022210022000001000 000000000000000002202202222221021021000000021000000100 202101102021210122212222222222222222210210000000000010 000000000000000000000000000000000000000000000000000001 Start matrix 1 9 54 4 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 221100221100221102222222222211111111111020000001000000 212010201021102122222222221021000000000220000000100000 022002200202020221111111110000222111000002200000010000 022002200202020222222222220000210210210002100000001000 000000000000000002221110000000222222222000022000000100 022002200202020222102102100000000000000000021000000010 000000000000000000000000000000000000000000000000000001 Start matrix 1 9 54 5 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 222210211110210002222222222222111111111100000001000000 222222221112222002222222222220222111000022000000100000 211122222222222001111111111110210210210021000000010000 221022222102222212222111100000000000000000222000001000 200022220002222002100210021000000000000000210000000100 002100001020000210021221011200000000000000221000000010 000000000000000000000000000000000000000000000000000001 Start matrix 1 9 54 6 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 222210211110210002222222222222111111111100000001000000 222222221112222002222222222220222111000022000000100000 211122222222222001111111111110210210210021000000010000 221022222102222212222111100000000000000000222000001000 200022220002222002100210021000000000000000210000000100 021000002100000212210112000210000000000000221000000010 000000000000000000000000000000000000000000000000000001 Start matrix 1 9 54 7 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 222210211110210002222222222222111111111100000001000000 222222221112222002222222222220222111000022000000100000 211122222222222001111111111110210210210021000000010000 221022222102222212222111100000000000000000222000001000 022200001110000002210221022100000000000000210000000100 002100001020000212100102220110000000000000221000000010 000000000000000000000000000000000000000000000000000001 Start matrix 1 9 54 8 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 111111222222000002222222222221111111110022000001000000 222222111111000002222111100002222222102121222000100000 222222111111000002110221021002222221201212211000010000 222222111111000000210210000212222220000000021000001000 211110210000222210000000000002222100000000000000000100 222102112110210000000000000002210220000000000000000010 000000000000000000000000000000000000000000000000000001 ?9 54 3 99999998_9 1 111111111111111110000000000000000000000000000100000000 222222111111000002222222222222222222222200000010000000 111111222222000002222222222221111111110022000001000000 222222111111000002222111100002222222102121222000100000 222222111111000002110221021002222221201212211000010000 222222111111000000210210000212222220000000021000001000 211110210000222210000000000002222100000000000000000100 222102112110210000000000000002210220000000000000000010 210222111201001200000000000001022220000000000000000001 AUT: 2176782336 $1z^{0}+174z^{18}+904z^{27}+17370z^{36}+1212z^{45}+22z^{54} dd-3$\\ DIFFERENT ENUMERATORS :1 ALL CODES: 1 1 1 AUT: 2176782336 $1z^{0}+174z^{18}+904z^{27}+17370z^{36}+1212z^{45}+22z^{54} dd-3$\\