Extension: [52,7,18] to [53,8,18] Number of the matrices for extension:259 Weights: 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 11211021222010200222122212222221110002111002200001000 22122002010021111210221012102222222221112210000000100 00000000000000000222022202222102102100000002100000010 00000000000000000000000000000000000000000000000000001 Start matrix 1 8 53 2 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 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11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 12222011121010200211022102102222222222221210000001000 12222011121010200221222222222221110002221002200000100 00000000000000000220220222222102102100000002100000010 00000000000000000000000000000000000000000000000000001 ?8 53 3 88888815_8 1 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 12222011121010200211022102102222222222221210000001000 12222011121010200221222222222221110002221002200000100 00000000000000000220220222222102102100000002100000010 02102112020101212002001000000000000002012000000000001 AUT: 4608 $1z^{0}+46z^{18}+590z^{27}+5724z^{36}+200z^{45} dd-3$\\ ?8 53 3 88888815_8 2 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 12222011121010200211022102102222222222221210000001000 12222011121010200221222222222221110002221002200000100 00000000000000000220220222222102102100000002100000010 22102210222222221220220222220000000001200000000000001 AUT: 23328 $1z^{0}+44z^{18}+596z^{27}+5718z^{36}+202z^{45} dd-3$\\ ?8 53 3 88888815_8 3 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 12222011121010200211022102102222222222221210000001000 12222011121010200221222222222221110002221002200000100 00000000000000000220220222222102102100000002100000010 20120110202121012221222222222222222221021000000000001 AUT: 15552 $1z^{0}+46z^{18}+590z^{27}+5724z^{36}+200z^{45} dd-3$\\ Start matrix 1 8 53 16 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 12222011121010200211022102102222222222221210000001000 12222011121010200221222222222221110002221002200000100 02202020202002022000000000002102102100000002100000010 00000000000000000000000000000000000000000000000000001 Start matrix 1 8 53 17 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 12222011121010200211022102102222222222221210000001000 12222011121010200221222222222221110002221002200000100 10000210000210002002000000002102102101002002100000010 00000000000000000000000000000000000000000000000000001 Start matrix 1 8 53 18 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21111022212020100222211110002222222221112220000010000 12222011121010200211022102102222222222221210000001000 22202121101120001221222222222221110002221002200000100 00000000000000000220220222222102102100000002100000010 00000000000000000000000000000000000000000000000000001 Start matrix 1 8 53 25 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 12222011121010200211022102102222222222221210000001000 20210110202121012221222222222222222221021000000000100 00000000000000000220220222222221110000000002200000010 00000000000000000000000000000000000000000000000000001 Start matrix 1 8 53 26 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22110022110022110222222222221111111111102000000100000 21111022212020100222211110002222222221112220000010000 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22102222210222221222211110000000000000000022200000100 20002222000222200210021002100000000000000021000000010 02100000210000021221011200012000000000000022100000001 AUT: 1259712 $1z^{0}+62z^{18}+560z^{27}+5736z^{36}+202z^{45} dd-2$\\ Start matrix 1 8 53 132 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22221021111021000222222222222211111111110000000100000 22222222111222200222222222222022211100002200000010000 21112222222222200111111111111021021021002100000001000 22102222210222221222211110000000000000000022200000100 02220000111000000221022102210000000000000021000000010 00000000000000000000000000000000000000000000000000001 ?8 53 3 888888132_8 7 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22221021111021000222222222222211111111110000000100000 22222222111222200222222222222022211100002200000010000 21112222222222200111111111111021021021002100000001000 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00000000000000000000000000000000000000000000000000001 Start matrix 1 8 53 139 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22221021111021000222222222222211111111110000000100000 22102222210222221222211110000000000000002220000010000 21202222120222212211022102100000000000002110000001000 20002222000222200021021000021000000000000210000000100 20002222000222200000000000000022211100000002200000010 00000000000000000000000000000000000000000000000000001 Start matrix 1 8 53 140 11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 11111122222200000222222222222111111111002200000100000 22222211111100000222211110000222222210212122200010000 22222211111100000211022102100222222120121221100001000 22222211111100000021021000021222222000000002100000100 21111021000022221000000000000222210000000000000000010 00000000000000000000000000000000000000000000000000001 ?8 53 3 888888140_8 8 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11111111111111111000000000000000000000000000010000000 22222211111100000222222222222222222222220000001000000 22222211111100000222222222222111111000002222200100000 22211111100022200222222222210210000211112111100010000 22020021122111010222222221022210000211112111100001000 21122101010120022222222102222210000211112111100000100 02112010220102112210000000000002211022110221100000010 00000000000000000000000000000000000000000000000000001