new linear codes from 291208
- binary:
- ternary: 4 optimal + 8 derived
- q=4:
- q=5: 1 optimal + 2 improvement
- q=7:
- q=8: 1 improvement + 1 derived
- q=9: 2 improvement
binary q=2
ternary q=3
q=3 k=7 n=37 d=21 optimal (using automorphisms) ( link ) code with group 127461 generator matrix: 0001101110111011101110011111101111111 0011202120012102200121122011211120000 0001112121122022211121202001100210112 0001112122001100100212120112200211021 0021012200102010210100121110011121212 0122202200201012021220011012011211100 1222100002222211121111212122121112112 corresponding to the solution: [1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0 ,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0] mindist=21 weight enumerator=1 [0] 584 [21] 712 [24] 704 [27] 184 [30] 2 [33]
q=3 k=8 n=48 d=27 optimal (using automorphisms) ( link ) code with group 127527 generator matrix: 000011111111111111111111111111111111111100000000 011102220112022201120112012211221112012200110011 001221121002202200120222202200121221110101010111 021220220112022222121021220100002000200000021001 021211222221020122211021101001201112021212200011 002220222011012022002122102210112012210201001211 012120101121211212111121121012000022112022022020 110202100201110111101122011110022202211222102211 corresponding to the solution: [1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 ,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0] mindist=27 weight enumerator=1 [0] 1088 [27] 1824 [30] 2016 [33] 1440 [36] 192 [39]
q=3 k=7 n=194 d=126 optimal (using extension of code with automorphisms) ( link ) generator matrix: 00001111111111110000111111111111000000011111111100000001111111110000111111111111000011111111111100001111111111110000000111111111000011111111111100000001111111110000000111111111000000011111111100 01110001112222220011000001122222000111100001222201111110001112220111000000111222011100011122222200010111111122220011111000001122011100000011122200000110011111221111111011112222000011100011111100 00120120120001111100000120011112011001201121122210011220120122221122000122022222012201212200122201102000012201221100022111220212001100112201100111111110001112010001122000120111000101201200112200 00202202101120011201111010201221100011020102011201100120022200122101022200200022111212101102200211110112202210012202201112112010010012020210101200122010200021220120001201021012111122110111111200 02011101100120200201022001101011112122220011101020101201212212012001011000012112010120100221200211201121220220020120121222012201122210022220202201202101221220111100200210110220022022001001021100 12120222221002020000202200000111121021021022022101111000200000102201212001111021201212221220201022001211220211201111012021101202010120000200010101221012112022201202210011120112101112200220211100 22222121221121212121211212211221112121112122221212221222222211121221111212211111212211211111121211221111121221112121221221221122000000000000000021122222111212110000000000000000212121221221221211 mindist=126 weight enumerator=1 [0] 1584 [126] 384 [135] 216 [144] 2 [162] This is a self-orthogonal code
q=4
q=5
q=5 k=7 n=16 d=8 optimal (using automorphisms) ( link ) code with group 127655 generator matrix: 0000001111111111 0000010041244012 0011103404143042 0000101001431430 0104010211142130 0001000103141304 1000144031443204 corresponding to the solution: [1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 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q=5 k=6 n=89 d=65 (using automorphisms) ( link ) code with group 54307 generator matrix: 11111111111001111111110111111111100011111111000011111111111111111100000111111000011111111 00001113344110012233440011133344401101333344001100022340022223444401111122244011101233443 11342331434022422434440400213403414414123424113401422030103344002212333011212122443000022 13130010104234003204241014031213430412121441003233204024111404040100144002221103112323200 00213012404404112141011321311104012420443444003201213341110403231244033340231413214010004 11012341340100343441322444421042222001013200242432104014141112144332303230122002414034144 corresponding to the solution: [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0] mindist=65 weight enumerator=1 [0] 880 [65] 1144 [66] 924 [67] 968 [68] 1452 [69] 1716 [70] 1584 [71] 1276 [72] 1540 [73] 924 [74] 792 [75] 1012 [76] 440 [77] 532 [78] 264 [79] 176 [80]
q=5 k=6 n=76 d=55 (using automorphisms) ( link ) code with group 54514 generator matrix: 0000111111111111111111111111111111111111111111000000001111111111111111000011 0011001111444411114444111122222222333333334444111111110000000022223333001100 1100001144114411441144223311223344112233442233222233332222333300000000110000 1400001414141423232323141400141400001414001414223322332233223322332233230000 0000141441411423323223000023233223233223230000332222331414141414141414000023 0014001414414123233232323241000014410000142323141414141414414133222233002300 corresponding to the solution: [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0] mindist=55 weight enumerator=1 [0] 2544 [55] 8152 [60] 4800 [65] 128 [70]
q=7
q=8
q=8 k=6 n=128 d=104 (extension of code using automorphisms) ( link ) generator matrix: [[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,0]: [0,0,0]:[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,0]: [0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]: [1,1,1]:[1,1,1]] [[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,1]:[0,0,1]:[0,1,0]:[0,1,0]:[0,1,0]: [0,1,0]:[0,1,0]:[0,1,1]:[1,0,0]:[1,0,0]:[1,0,0]:[1,0,0]:[1,0,1]:[1,0,1]: [1,1,0]:[1,1,0]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,1]: [0,0,1]:[0,1,0]:[0,1,0]:[0,1,0]:[1,0,0]:[1,0,0]:[1,0,0]:[1,0,1]:[1,0,1]: [1,1,0]:[1,1,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[1,1,1]: [1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,1]:[0,0,1]:[0,0,1]:[0,0,1]: [0,1,0]:[0,1,0]:[0,1,0]:[0,1,1]:[0,1,1]:[1,0,0]:[1,1,0]:[1,1,0]:[1,1,1]: [1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,1]:[0,1,0]: [0,1,0]:[1,0,0]:[1,0,0]:[1,0,0]:[1,0,1]:[1,1,0]:[1,1,0]:[1,1,0]:[1,1,0]: [1,1,0]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,0]: [0,0,0]:[0,0,0]:[0,0,1]:[0,0,1]:[0,0,1]:[0,0,1]:[0,0,1]:[0,1,0]:[0,1,0]: 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[1,0,0]:[1,1,0]:[0,0,1]:[0,1,0]:[0,1,0]:[1,0,0]:[1,1,1]:[1,0,1]:[1,1,0]: [1,1,0]:[1,1,1]:[1,0,0]:[1,1,0]:[0,0,1]:[1,0,1]:[1,1,1]:[0,0,0]:[0,0,0]: [1,1,1]:[1,0,0]:[1,1,1]:[0,0,0]:[1,0,1]:[1,1,0]:[1,1,0]:[0,1,0]:[1,0,0]: [1,1,0]:[1,1,0]:[0,0,0]:[1,1,1]:[0,1,0]:[1,1,1]:[0,0,1]:[1,0,0]:[1,1,0]: [1,0,0]:[1,0,0]] [[0,0,0]:[0,1,0]:[0,1,1]:[0,0,0]:[0,1,0]:[1,1,1]:[0,0,1]:[0,0,1]:[1,0,1]: [0,1,0]:[1,0,1]:[0,1,0]:[0,0,0]:[1,0,1]:[1,1,1]:[1,1,1]:[1,1,0]:[1,0,0]: [0,0,0]:[1,0,0]:[0,0,0]:[1,1,0]:[1,1,0]:[1,0,0]:[1,0,1]:[1,0,1]:[1,1,1]: [0,1,0]:[0,0,0]:[0,0,0]:[1,0,0]:[0,1,1]:[1,0,0]:[1,0,1]:[1,0,0]:[1,0,0]: [0,0,0]:[0,1,1]:[1,0,1]:[1,1,0]:[1,1,1]:[1,1,1]:[0,1,1]:[0,1,1]:[0,1,0]: [0,1,0]:[0,1,1]:[0,0,1]:[0,1,1]:[0,0,1]:[0,1,0]:[1,1,1]:[1,1,1]:[0,1,0]: [0,0,1]:[0,0,1]:[1,1,0]:[0,1,0]:[0,1,0]:[1,1,1]:[0,0,1]:[0,0,0]:[0,0,0]: [0,1,1]:[0,0,0]:[0,0,1]:[1,0,0]:[0,0,0]:[0,0,1]:[0,1,1]:[1,0,1]:[0,0,1]: [1,0,0]:[0,0,1]:[1,0,1]:[0,1,0]:[1,0,1]:[0,1,1]:[1,0,0]:[1,0,1]:[0,1,0]: 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[1,1,0]:[0,1,1]:[0,0,0]:[0,1,1]:[1,0,0]:[0,1,0]:[0,0,0]:[1,1,0]:[1,0,0]: [0,1,1]:[1,0,1]:[0,1,1]:[0,1,0]:[0,0,1]:[1,0,0]:[0,1,0]:[1,1,1]:[0,0,1]: [1,1,1]:[0,0,1]:[1,0,0]:[0,1,0]:[0,0,1]:[0,1,1]:[0,0,0]:[1,1,0]:[1,1,1]: [0,0,0]:[1,0,0]:[0,0,0]:[1,1,0]:[1,1,0]:[1,1,0]:[0,0,0]:[0,0,0]:[1,0,0]: [1,0,1]:[1,1,0]:[0,1,0]:[0,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[0,1,0]:[0,1,0]: [1,0,0]:[0,0,0]:[1,1,0]:[0,1,0]:[1,0,1]:[0,1,1]:[0,1,0]:[0,0,0]:[0,1,1]: [1,0,1]:[1,0,0]:[1,0,0]:[1,1,1]:[1,1,0]:[1,0,1]:[1,1,1]:[0,0,1]:[1,1,1]: [0,1,1]:[0,1,1]] mindist=104 weight enumerator=1 [0] 7056 [104] 23814 [106] 29547 [108] 40621 [110] 47754 [112] 56007 [114] 34839 [116] 16758 [118] 5292 [120] 441 [122] 7 [126] 7 [128]
q=9
q=9 k=5 n=78 d=64 (using automorphisms) ( link ) code with group 78315 generator matrix: [[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]: [0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]] [[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[0,1]:[0,1]:[0,2]:[0,2]:[1,0]:[1,0]:[2,0]:[2,0]:[0,1]:[0,1]: [0,2]:[0,2]:[1,0]:[1,0]:[2,0]:[2,0]:[0,1]:[0,1]:[0,2]:[0,2]:[1,0]:[1,0]: [2,0]:[2,0]:[0,1]:[0,1]:[0,2]:[0,2]:[1,0]:[1,0]:[2,0]:[2,0]:[1,1]:[1,1]: [1,2]:[1,2]:[2,1]:[2,1]:[2,2]:[2,2]:[1,1]:[1,1]:[1,2]:[1,2]:[2,1]:[2,1]: [2,2]:[2,2]:[1,1]:[1,1]:[1,2]:[1,2]:[2,1]:[2,1]:[2,2]:[2,2]:[1,1]:[1,1]: [1,2]:[1,2]:[2,1]:[2,1]:[2,2]:[2,2]] [[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[0,1]:[0,2]:[1,0]:[1,1]:[1,2]:[2,0]: [2,1]:[2,2]:[1,1]:[2,2]:[1,2]:[2,1]:[1,0]:[2,0]:[0,1]:[0,2]:[1,1]:[2,2]: [1,2]:[2,1]:[1,0]:[2,0]:[0,1]:[0,2]:[1,2]:[2,1]:[1,1]:[2,2]:[0,1]:[0,2]: [1,0]:[2,0]:[1,0]:[2,0]:[0,1]:[0,2]:[1,2]:[2,1]:[1,1]:[2,2]:[1,0]:[2,0]: [1,2]:[2,1]:[1,1]:[2,2]:[0,1]:[0,2]:[1,1]:[2,2]:[1,0]:[2,0]:[0,1]:[0,2]: [1,2]:[2,1]:[1,1]:[2,2]:[1,0]:[2,0]:[0,1]:[0,2]:[1,2]:[2,1]:[1,2]:[2,1]: [0,1]:[0,2]:[1,0]:[2,0]:[1,1]:[2,2]] [[1,1]:[1,1]:[1,1]:[1,2]:[2,1]:[2,2]:[2,2]:[1,1]:[1,2]:[0,2]:[1,0]:[2,1]: [2,0]:[0,1]:[1,2]:[2,1]:[1,1]:[2,2]:[1,0]:[2,0]:[0,2]:[0,1]:[0,2]:[0,1]: [1,0]:[2,0]:[2,1]:[1,2]:[1,1]:[2,2]:[0,1]:[0,2]:[1,0]:[2,0]:[2,1]:[1,2]: [2,2]:[1,1]:[2,0]:[1,0]:[0,1]:[0,2]:[2,2]:[1,1]:[2,1]:[1,2]:[2,0]:[1,0]: [2,2]:[1,1]:[2,1]:[1,2]:[0,1]:[0,2]:[0,1]:[0,2]:[1,2]:[2,1]:[2,2]:[1,1]: [2,0]:[1,0]:[1,1]:[2,2]:[0,1]:[0,2]:[1,0]:[2,0]:[2,1]:[1,2]:[1,2]:[2,1]: [2,0]:[1,0]:[0,2]:[0,1]:[2,2]:[1,1]] [[1,0]:[2,0]:[2,2]:[1,2]:[2,1]:[1,1]:[1,2]:[2,1]:[1,1]:[2,0]:[0,2]:[2,2]: [0,1]:[1,0]:[2,1]:[1,2]:[2,2]:[1,1]:[1,0]:[2,0]:[0,2]:[0,1]:[0,2]:[0,1]: [1,0]:[2,0]:[1,2]:[2,1]:[2,2]:[1,1]:[0,1]:[0,2]:[1,0]:[2,0]:[1,2]:[2,1]: [1,1]:[2,2]:[2,1]:[1,2]:[1,1]:[2,2]:[2,0]:[1,0]:[0,1]:[0,2]:[0,2]:[0,1]: [2,1]:[1,2]:[1,1]:[2,2]:[2,0]:[1,0]:[1,1]:[2,2]:[0,2]:[0,1]:[2,0]:[1,0]: [2,1]:[1,2]:[1,0]:[2,0]:[1,1]:[2,2]:[1,2]:[2,1]:[0,1]:[0,2]:[1,0]:[2,0]: [2,2]:[1,1]:[1,2]:[2,1]:[0,2]:[0,1]] corresponding to the solution: [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] mindist=64 weight enumerator=1 [0] 2648 [64] 3472 [65] 4256 [66] 4992 [67] 7264 [68] 7808 [69 ] 6640 [70] 8736 [71] 5640 [72] 4416 [73] 1488 [74] 1152 [75] 456 [76] 64 [77] 16 [78]
q=9 k=5 n=93 d=77 (using automorphisms) ( link ) code with group 78315 generator matrix: [[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]: [0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]] [[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]: [1,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,1]:[0,1]:[0,2]: [0,2]:[1,0]:[1,0]:[2,0]:[2,0]:[0,1]:[0,1]:[0,2]:[0,2]:[1,0]:[1,0]:[2,0]: [2,0]:[0,1]:[0,1]:[0,2]:[0,2]:[1,0]:[1,0]:[2,0]:[2,0]:[0,1]:[0,1]:[0,2]: [0,2]:[1,0]:[1,0]:[2,0]:[2,0]:[1,1]:[1,1]:[1,2]:[1,2]:[2,1]:[2,1]:[2,2]: [2,2]:[1,1]:[1,1]:[1,2]:[1,2]:[2,1]:[2,1]:[2,2]:[2,2]:[1,1]:[1,1]:[1,2]: [1,2]:[2,1]:[2,1]:[2,2]:[2,2]:[1,1]:[1,1]:[1,2]:[1,2]:[2,1]:[2,1]:[2,2]: [2,2]:[1,1]:[1,1]:[1,2]:[1,2]:[2,1]:[2,1]:[2,2]:[2,2]] [[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[0,1]:[0,2]:[1,0]:[1,1]:[1,2]:[2,0]:[2,1]: [2,2]:[0,1]:[0,2]:[1,0]:[1,1]:[1,2]:[2,0]:[2,1]:[2,2]:[0,0]:[0,0]:[0,0]: [0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[2,2]:[1,2]:[2,1]:[1,0]:[2,0]:[0,1]: [0,2]:[1,2]:[2,1]:[1,1]:[2,2]:[0,1]:[0,2]:[1,0]:[2,0]:[1,0]:[2,0]:[0,1]: [0,2]:[1,2]:[2,1]:[1,1]:[2,2]:[1,0]:[2,0]:[1,2]:[2,1]:[1,1]:[2,2]:[0,1]: [0,2]:[0,1]:[0,2]:[1,1]:[2,2]:[1,2]:[2,1]:[1,0]:[2,0]:[0,1]:[0,2]:[1,1]: [2,2]:[1,2]:[2,1]:[1,0]:[2,0]:[1,1]:[2,2]:[1,0]:[2,0]:[0,1]:[0,2]:[1,2]: [2,1]:[1,2]:[2,1]:[0,1]:[0,2]:[1,0]:[2,0]:[1,1]:[2,2]] [[0,0]:[1,1]:[1,1]:[1,1]:[0,0]:[0,1]:[0,2]:[2,0]:[1,2]:[1,1]:[1,0]:[2,2]: [2,1]:[2,0]:[1,0]:[0,2]:[2,2]:[1,2]:[0,1]:[2,1]:[1,1]:[1,0]:[2,0]:[0,1]: [0,2]:[1,1]:[2,2]:[1,2]:[2,1]:[1,2]:[2,1]:[1,1]:[2,2]:[1,0]:[2,0]:[0,2]: [0,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[2,0]:[1,0]:[0,1]: [0,2]:[2,2]:[1,1]:[2,1]:[1,2]:[1,0]:[2,0]:[1,1]:[2,2]:[1,2]:[2,1]:[0,2]: [0,1]:[2,1]:[1,2]:[1,0]:[2,0]:[0,1]:[0,2]:[2,2]:[1,1]:[1,1]:[2,2]:[0,2]: [0,1]:[1,0]:[2,0]:[2,1]:[1,2]:[1,1]:[2,2]:[0,1]:[0,2]:[1,0]:[2,0]:[2,1]: [1,2]:[1,1]:[2,2]:[0,2]:[0,1]:[1,0]:[2,0]:[1,2]:[2,1]] [[1,1]:[0,0]:[1,2]:[2,1]:[0,0]:[1,1]:[2,2]:[2,1]:[0,2]:[1,0]:[1,2]:[2,0]: [0,1]:[0,2]:[0,1]:[1,0]:[2,1]:[2,2]:[2,0]:[1,1]:[1,2]:[2,2]:[1,1]:[1,2]: [2,1]:[0,2]:[0,1]:[2,0]:[1,0]:[2,1]:[1,2]:[2,2]:[1,1]:[1,0]:[2,0]:[0,2]: [0,1]:[1,1]:[2,2]:[1,2]:[2,1]:[0,1]:[0,2]:[2,0]:[1,0]:[1,2]:[2,1]:[2,2]: [1,1]:[1,0]:[2,0]:[0,2]:[0,1]:[1,1]:[2,2]:[0,1]:[0,2]:[1,0]:[2,0]:[1,2]: [2,1]:[2,1]:[1,2]:[2,0]:[1,0]:[0,2]:[0,1]:[2,2]:[1,1]:[0,1]:[0,2]:[1,2]: [2,1]:[1,1]:[2,2]:[2,0]:[1,0]:[2,1]:[1,2]:[1,0]:[2,0]:[0,2]:[0,1]:[2,2]: [1,1]:[1,2]:[2,1]:[1,0]:[2,0]:[0,1]:[0,2]:[2,2]:[1,1]] corresponding to the solution: [1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 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weight enumerator=1 [0] 2432 [77] 3232 [78] 4464 [79] 4640 [80] 7752 [81] 5824 [82 ] 6568 [83] 6304 [84] 6368 [85] 5248 [86] 3200 [87] 1696 [88] 1056 [89] 256 [90] 8 [91]