´

new linear codes from 050609

  • binary:
  • ternary:16 improvements + 28 derived
  • q=4 :
  • q=5:
  • q=7:
  • q=8:
  • q=9:

binary q=2

ternary q=3

q=3 k=11 n=49 d=24
(extension of a code using automorphisms)
( link )

generator matrix:
0001111111001111111100011111110001111111001111111
0010001222110001222211100012220010011122111220112
0020222011021120002212202200010100112211110000112
0011000100101101012210020121221112120222220122120
0120122201000002222201220202021211022012021111022
0210210211100002000202121122010020120220210000102
0012210120100220122120001210001020112002202112110
0211010100011000002122002002121200210000022001220
0020120201220211002201112002220100110222000222011
0122021202202112212000010112221212102120021110122
1012010100101122011222020012101010110110222201121
mindist=24
weight enumerator=1 [0]  2870 [24]  14844 [27]  43800 [30]  64754 [33]  40252 [36]  9714
 [39]  902 [42]  10 [45]  
This is a self-orthogonal code



q=3 k=11 n=54 d=27
(extension of a code using automorphisms)
( link )

generator matrix:
000111111100011111110001111111111001111111100000011110
001000122201100011220010111222122010011222211111111121
002022201110102212220012012012122010102012211112212201
001100010020000121120102110222020102021120002221121221
012012220110102001220222112000102021101100000111122100
021021021101122111021112021010202121102121201220121212
001221012010220211120112221220100112001011002112010102
021101010002222010201112111210200012121211100022201011
002012020112102100112211101122201002112001101111220100
012202120222222121101201112111012212101202110012112100
101201010010000110111112002021001201101222020210112202
mindist=27
weight enumerator=1 [0]  2904 [27]  13670 [30]  40428 [33]  60930 [36]  43664 [39]  13968
 [42]  1440 [45]  140 [48]  2 [54]  
This is a self-orthogonal code


q=3 k=11 n=59 d=30
(computed using a programm of Johannes Zwanzger)
( link )
generator matrix:
00011111110001111111001111111100000111110000001111001110011
00100012220010000122010011222201111111120011110112111110110
00202220111110222122010101111100002012211100221120020120110
00110001000202022022102112012210020112201211112102000201021
01201222010010100022021221100211111222220012000121221222122
02102102111010212211212020120110200101220100020102200022001
00122101200020012122122101010222200210022020010022002110212
02110101001100200012211100021221221210220021112202120020121
00201202010210001200022122110221102020212020112022210121211
01220212022102021110110121001202110100001012121011221221222
10120101000222120012112100002002121020021022022111020021120
mindist=30
weight enumerator=1 [0]  2870 [30]  13314 [33]  35480 [36]  58916 [39]  46212 [42]  17060
 [45]  3104 [48]  180 [51]  10 [54]  


q=3 k=11 n=65 d=14
( using automorphisms)
( link )

code with group 14 

generator matrix:
00000000011111110000011111111111000001111111111110000000111111111
00001111101112221111100000011222011110000111111220001111011112222
01110011220110120002200012212022000120122011122220110022112220002
01220102102001100110002202200202000220102001111221000102011220012
00221222112012112010000011100011122222100111111221001022021010111
01022111020001022020110101210021212002101201102201010020221121211
00210212000221102010210212111002200010012222201100012220111200010
01122001102102101210001111002201102001212211111010110221100200220
01100022212121200011120102001210011201221101122112020121221001021
01212221022122221022121110210000210020112120220022211000021022220
12202211122201020002001200121201220011221122121221121121022212112
corresponding to the solution:
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mindist=33
weight enumerator=1 [0]  2122 [33]  8496 [36]  28016 [39]  52480 [42]  50832 [45]  27224
 [48]  7120 [51]  800 [54]  56 [57]  

q=3 k=11 n=103 d=57
(computed using a programm of Johannes Zwanzger)
( link )
generator matrix:
0000001111111111111100011111111111111111000000000111111111110000000001111111111100000011111111111111011
0011110001111122222201100000011222222222001111111000011122220000111110000111112200111100000011111112112
0011220220002201112211200122201000111222010001122011211200020111011221222000111101002200012200001220112
0000111000020110010120200000112011222012110221111112101001221002102120122022120111120201211200112001220
0111220121212220100021000122000102122022011022222102211012222002102222222112200210122010201000010020222
0201120212120021121112211022120220212020010121100200222102102021021100122001220201012012210202110001102
0012112211100212000001200022202012102111100021211201010121110210011221001100010200100000001002021221210
0202101011000110000212111102102202211012010112100020221102002022222002022000100121110100101020120010120
0000200121020220112000101222020112202021221202100120021020210021101011100010021212112202201211112001111
0111202022221220200202200000010112212112020222012210120100112211200111021121021001120201110101112111122
1010112011120110012021211210011020022212021100220021100202101011222222200021200001220022010102000001021
mindist=57
weight enumerator=1 [0]  2888 [57]  10590 [60]  19620 [63]  36340 [66]  44620 [69]  37074
 [72]  17620 [75]  6868 [78]  1346 [81]  140 [84]  40 [87]  


q=3 k=11 n=108 d=60
(extension of a code using automorphisms)
( link )

generator matrix:
000000000111111100000111111111110000111111111111000011111111111100000001111111110111111100000011111111111111
000011111011122200011001111222220111000111222222111100000111222200111110111222221111112201111100112222220101
011100112201101201112011122111221012112012012222011201112002011211001221002001220012220200001102120001120112
012201021020011010200200011022222110110100200022002200020011001211010122001110122120120110220112200022201010
002212221120121111220220211001020012021200221102211202221101121102002102020011211120002121012120210120101010
010221110200010201210112102201020112021021211210022110222122210012121012120222001221002220002102220011201212
002102120002211011122222011002121200122211012021011210120210201100002210010222111210000101000020212120110011
011220011021021020011120220122220122220011022000120001120222200122202102000101012020221200212012221222212012
011000222121212021011012010211002212212202210222202220001011020210212120012111110122020002022012000010000210
012122210221222212121112102112002121211210000010122021211012110222101012001201200210212120221002021101122222
122022111222010210020100102020110211200011121212112111000112022101110201000102122101122221100020122010222211
mindist=60
weight enumerator=1 [0]  2860 [60]  8824 [63]  20236 [66]  34552 [69]  41888 [72]  36640
 [75]  22496 [78]  7640 [81]  1732 [84]  208 [87]  64 [90]  4 [96]  2 [108
]  
This is a self-orthogonal code


q=3 k=11 n=111 d=61
( using automorphisms)
( link )

code with group 62 

generator matrix:
000000111111111111110000111111111111111100011111111111111111000000011111111111111111110000000011111111111111111
001111000111112222220111000000011222222201100000001111122222000111100001112222220012120000111100001111122201222
001122022000220111221001000122201000222211101111220011100122111022201110120112220012120111011201120002201122001
000011100002011001010010022200112012111222220111010100122102001022212220010020020211200022100222200110201122001
011122012121222010002010111101120122112211112002202212202202222101200122001210200101221012012020000010000121000
020112021212002112112110122211212011002110211010012211222120111010002000000010202011021211000101102110111102122
001211221110021200000101211212022011121011221212101001220200220000002122121001102210100202102012201201111000022
020210101100011000022220212021122200122000221020111121211001122000021100112112221120202000012002201201210012000
000020012102022011202011200102012100102100102222001012120212120211212210120100120202112220010101202002011011111
011120202222122020020110101101121122112202200211201011221121010011201222021201021010221122010212212102121200101
101011201112011001202010120200211100122022120100000012110211011002122100222200202112210121010011220112211100120
corresponding to the solution:
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mindist=61
weight enumerator=1 [0]  620 [61]  1340 [62]  1850 [63]  1788 [64]  2930 [65]  4030 [66]  
4590 [67]  8220 [68]  7818 [69]  9110 [70]  12320 [71]  12720 [72]  12524
 [73]  12990 [74]  14120 [75]  14560 [76]  12760 [77]  10650 [78]  8900
 [79]  7210 [80]  5440 [81]  3160 [82]  2650 [83]  2130 [84]  1400 [85
]  684 [86]  210 [87]  210 [88]  130 [89]  80 [90]  2 [104]  


q=3 k=11 n=114 d=63
(computed using a programm of Johannes Zwanzger)
( link )
generator matrix:
000111111111111111111111111111100011111111100011111111100011111111111111100000011111100000011111100000000011100011
111000222222111111222222112222211100011112211100011112211100011112211112200111100002200111100001100000011100000022
111222000222111222111222121222212211200120112211200120112211200120111221111001100220011002200110000011100000000022
012012012222001002002111122100020202101121201111022120210202201122200000000000200010101010002000011102202201100022
001002200002021021120012211102222211112212212212122112200210000002212121211220000112221121221121201220110201211110
200010001010120201102210122210121211211222222211112212220001010200021121211002211002221211221211221021001221011220
020100010100201120021102122211012212122112211222122111102000102010012122100221122110021122112121210202112010212120
222111111000222111111222211211112121212002011221212002012121212002011222222220011000011110022000011100000000000011
020100112010101220020110122020000212122201221120012001200002110020111010000020212201120201210121220012101122010012
002121022022102200222001210120010220120120201110201222222121022021212220102112101020111001021112121122200101201112
120222201021021112102020010120121220222112221021121211011112122222002110101222002011020120101122222102112201201211
mindist=63
weight enumerator=1 [0]  2108 [63]  6490 [66]  15394 [69]  29808 [72]  41136 [75]  38582
 [78]  27052 [81]  12300 [84]  3532 [87]  618 [90]  122 [93]  2 [99]  2
 [105]  


q=3 k=11 n=118 d=66
(computed using a programm of Johannes Zwanzger)
( link )
generator matrix:
0000000001111111000011111111111100001111111111110000111111111111000111111111111100001111111111110000011111111111011111
0000111110111222011101112222222200010011111222220111000001112222011000001122222200010001111122221111100000111122100121
0111001122011012012210120111122200100201111000220112011121110022112000220000012201120110112211220011111222002202212202
0122010210200110120002020002222201012210000001121111211210112212002001001211222200020011120011011200101022001201211020
0022122211201211110201111010012201202100012011122011012011020220020011012200110000222012001200220212110211122121100120
0102211102000102111010120100011211101111221120110121021121002102201210211202201210210122210112022102222112020020211102
0021021200022110012211222101221221200001002002210012201212200002120012120220002010200112011020012022200022120210220011
0112200110210210122101011122222212002020002112022120111122222022202121020100112000020222011101012022112012120022002202
0110002221212120021100212002110101012010001221020202211202121100022000101122102000022020202021001120122000020122001020
0121222102212222221211202101111202221112102121221220121212211001021202212020102222112111012011010012101110201110100122
1220221112220102112222110000121220020002010111210102100200211201012101011102001102002212200201102121102210121212202111
mindist=66
weight enumerator=1 [0]  2560 [66]  7854 [69]  17464 [72]  30548 [75]  41064 [78]  37018
 [81]  24702 [84]  12216 [87]  3164 [90]  416 [93]  120 [96]  16 [99]  
4 [102]  


q=3 k=11 n=133 d=75
(extension of a code using automorphisms)
( link )

generator matrix:
0000000001111111000011111111111100001111111111111001111111111111100001111111111110000011111111111000001111111111100011111111111111101
0000111110111222011101112222222200110001222222222010000111222222201110000011122220111100001112222011110000011112211100000011111120010
0111001122011012012210120111122211110012000112222100012122001222210011112211200011011201221220001101220122201220011201111200022200011
0122010210200110120002020002222212002222002002222010201100222001100210120211122220002021122122221202011111112010012200012001212201121
0022122211201211110201111010012210120121010021122210000212020002221202002011101220012121120200222010100001221010211221211202000100021
0102211102000102111010120100011201022022222201210121021020010111220210222101202011120220212010022202111001001101222001220112202211211
0021021200022110012211222101221210011120101110120202221201001010122211010002000100121220212201222022111022112201121002211112020211101
0112200110210210122101011122222201220210211121111221100021000022120101111000110200120001101210220020220002010212002021121212201111211
0110002221212120021100212002110112020200101022011000221002112000020010011022012121221002220020021220111100111012002201022122221102021
0121222102212222221211202101111212112102212011202002101220110211010220020102011002122000112020110200221122010220221201200220121200002
1220221112220102112222110000121210200100200212122110010110220100011201101101201220220221100222202100210200202102010211021020122001201
mindist=75
weight enumerator=1 [0]  1784 [75]  6728 [78]  15416 [81]  25928 [84]  34552 [87]  38108
 [90]  29720 [93]  17096 [96]  5792 [99]  1696 [102]  264 [105]  56 [108
]  4 [114]  2 [129]  
This is a self-orthogonal code


q=3 k=11 n=148 d=84
(extension of a code using automorphisms)
( link )

generator matrix:
0001111111111111111111111111111111111111100011111111100011111111100011111111100011111111100011100000011111100011100000011111100000011111100010000000
1110002222221111112222222222111111222222211100011112211100011112211100011112211100011112201100200111100002201100200111100001100111100001100100000000
1112220002221112221112222222111222111222212211200120112211200120112211200120112211200120110102011001100220010102011002200110011002200110001000000000
0120120122220120120122221111011022022111001212012120210101202122221212112211120202101211100000001010002000022010000001200121211110222020112210001111
0010022000021102200220221222201012201012002210120012221112211221112212122112222111211222220000100220000110001002012000000001212122112212111121111220
2000100010100221011101011121210210021210020211001202211122212121122211121212221112211221100120011000000002220000100002112000012212112122122211121120
0201000101002020111011101211021102210102012002122110022111211222212122122111122211121212201002000001122000000210000120000210012121221212122211211210
2221111110002221111112221111222111111222112121221002011212221002012121221002011212221002022010022220011000022010011110022000011110022000020000000000
0201001120101000200201101001022101202100110001101022010110021000100212120101212211220101211221211200221020001011111010220102120012101101220212202212
0021210220222200110110201002000121120221012210202121211221211112211220220010220120110002002120201022110110200112010102122202010111021001100111200211
1202222010212101202101110120102011201211210021000002021012020111021220011212210012211202002012202010112221202022100020221122000010101022021120221211
mindist=84
weight enumerator=1 [0]  1520 [84]  5438 [87]  12812 [90]  21706 [93]  31982 [96]  36158
 [99]  31412 [102]  21734 [105]  10078 [108]  3320 [111]  804 [114]  178
 [117]  2 [129]  2 [144]  
This is a self-orthogonal code

q=3 k=11 n=150 d=85
( using automorphisms)
( link )

code with group 8 

generator matrix:
000111111111111111111111111111100011111111100011111111100011111111100011111111111111111111111111111111100011111111100011100010000000001110000000000000
111000222222111111222222222222211100011112211100011112211100011112211100011112211111111222211111111222211100011112201100200100000001110000000000000000
111222000222111222111222222222212211200120112211200120112211200120112211200120111112222111111112222111112211200120110102001000001110000000000000000000
012012012222012012012222111000002222011120220101102121211212212122210101202122201110222022201220112011201212012210100102201121110220220110001111111110
001002200002110220022022022200122211112212222111211222201202102011121112211221111221122000011222112000012021020102210120211120120121021021111220011221
200010001010022101110101101102021211211222221112211221112021020102211122212121100001122211200001221122120210112210002211022212102101200121121121202012
020100010100202011101110110120012212122112222211121212210120221120022111211222211220000122122110000122101202102011122001122211021020121201211211220102
222111111000222111111222111111112121212002011212221002011212212002011212221002011112222222211112222222211212212002022010020002220000000000000000000000
020100112010100020020110122222110001102100110110012212011012122201210110021000120022102211201120122011002221210022022220201001212020021002022120111222
002121022022220011011020011122102010011102112101200001201100202210211221211112220100122202120200221201100202010111121021122022000120010002002221020202
120222201021210120210111012210202100001100012210212111220211222202221012020111002200211001110022221121211122121201020021210002020120110122122201101220
corresponding to the solution:
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,0,0,0,0,0,1,0,0,0,0]
mindist=85
weight enumerator=1 [0]  570 [85]  884 [86]  1444 [87]  1452 [88]  2340 [89]  3358 [90]  
4008 [91]  4400 [92]  5778 [93]  6516 [94]  7990 [95]  9204 [96]  9894
 [97]  11710 [98]  11522 [99]  12186 [100]  12720 [101]  10974 [102]  11712
 [103]  9084 [104]  8774 [105]  7788 [106]  6072 [107]  4784 [108]  3516
 [109]  2864 [110]  1974 [111]  1380 [112]  862 [113]  588 [114]  234 [115
]  276 [116]  138 [117]  36 [118]  56 [119]  24 [120]  32 [122]  2 [134
]  

q=3 k=11 n=153 d=87
(extension of a code using automorphisms)
( link )

generator matrix:
000000000000111111111111111111111111000000000000111111111111111111111111000000000000111111111111111111111111000000000000111111111111111111111111000000000
000001111111000000011111122222222222000000011111000000011111122222222222000001111111000000001111122222222222000011111111000000000111112222222222110011111
011110000011001122200112200112222222000001100012001111201122200001111222000110111222011122220001100001112222011100011112011222222011110001111122120000001
100120011101000100222120001110111122011110102220020222012200001220112002001012000002022212221120101120121112001112200111222022222011221110122201001111220
112222201220122000102111111022012212101222211112122122211111221121020022012000022000201220121220201211120122021110201020212001222201020112101201101201011
002110120020001200011100020022202202011022112202102011010122210221010102101101102020002220112110012101202021110222102212012112012020021022120220221201012
020112210120011000210021212001010211111121110122001012100111110220111002011121012122112002010102212020012121100011210222221121210210121102021102112102021
011111200010202211212120210011202200120202202010102020110022110212212220020211001212010122201021210201201120201212222201100102001101122111102000000000000
202212201001001112221210120210002000210001201020212210011012021200221100000021020010122222221101121112012100211120222100202110211112121001110111001111220
222220222011200022200100210122202102000102200200122121111011121111101010221111222221222111211121112212122221201221102121222212000221002120001200000000000
001112022200022012101220022221121100011111210211000222221212011122101020022212122011120121111220002220120211101202002012002000210101020210211221111212120
mindist=87
weight enumerator=1 [0]  1266 [87]  576 [88]  576 [89]  2704 [90]  2016 [91]  2016 [92]  
5724 [93]  3924 [94]  3924 [95]  11250 [96]  5436 [97]  5436 [98]  16734
 [99]  7614 [100]  7614 [101]  20538 [102]  8172 [103]  8172 [104]  17550
 [105]  6516 [106]  6516 [107]  12290 [108]  3240 [109]  3240 [110]  6606
 [111]  1314 [112]  1314 [113]  2820 [114]  432 [115]  432 [116]  900 [117
]  90 [118]  90 [119]  18 [120]  36 [121]  36 [122]  12 [126]  2 [144]  



q=3 k=11 n=157 d=90
(computed using a programm of Johannes Zwanzger)
( link )
generator matrix:
1000111111111111111111111111111111111100011111111100011111111111111100011111111100011111111100011111111100011111111100011111111100000011111100000000011100010
2111000222222111111222222112222222222211100011112211100011112211112211100011112211100011112211100011112211100011112211100011112200111100002200000011100000020
2111222000222111222111222121222222222212211200120112211200120111221112211200120112211200120112211200120112211200120112211200120111001100220000011100000000020
2012012012222012012012222122200022200020101102121210101202122222111121111122211111212212212110101202212101212012000010202201002002022201111111111211212200001
0001002200002110220022022122202202212222111211222221112211221112121210212002102210122002101110120212120021012010201121012001201100221122110000101000100201101
0200010001010022101110101211110110111221112211221111122212121112122122001121210012002122110001202120011110120221120010120212120011220000112202000202001010202
0020100010100202011101110211111011012122211121212222111211222212211202120120011101120210021121012001201102101201022202101210022222001122001120020020010012002
1222111111000222111111222211211111111111212221002011212221002011222212121221002012121221002011212221002011212212002011212221002022220011000022200000000000010
2020100112010100020020110212010211221110110012212010110021000120222220000102220110121101021221102002220111112020220100220212212000210101011101210202201111111
2002121022022220011011020200202200002212101200001211221211112211012012122020221200210112012001010222122112102202010210201222101021011201001222000211121120000
1120222201021210120210111201100102020112210212111221012020111000202120111211002022021120111212212011202201220202001112212100002201100202221010022221202102121
mindist=90
weight enumerator=1 [0]  2080 [90]  5934 [93]  13154 [96]  21246 [99]  30200 [102]  36442
 [105]  31798 [108]  21146 [111]  9934 [114]  3662 [117]  1256 [120]  248
 [123]  42 [126]  4 [135]  


q=3 k=11 n=161 d=93
( using automorphisms)
( link )

code with group 26 

generator matrix:
00000111111111111111111000000001111111111111110000000011111111111111100000000111111111111111000000001111111111111110000000011111111111111100000000111111111111111
00011000000001111122222000011110000111122222220000011100011111122222201111111000011112222222111111110000011111222220111111100001111111222200111111000111111111222
01112000112220012200122011100010011001200012220111102200100111200112200011222001201220011122001112220001211112000120002222200110012222011211000122122000001222111
00220022020220010201022101201110002111211212221012212211211012112000200101022010201021200012010120010120100120012200020112212120010022112002022212202000121111001
00221011021020112020212210021220200022211200121020202200212112210012001020201220222022202210121211211000002100120110022010110102200202110012111201121111122122220
01021102002022002000112111101101001222112211021220101212012022211210111101001002202121010211221122220110001222102120101101211111200112001020122001110112010102011
00210020101102122210000101002001022120100011011012221011220212020000201021222220002211200210021011202110210201210021201212010121212120202111011112211220102021022
02002110022020120111121200201122012002100121120210202200200012021020212200202121012002112002211220212022102010011002110012011101120100102111001212220012211210112
00220102112101212120001212100000122202110210222102111121010221012220211201212102122002000011112021210212121022002120200000121011202221212210100201201010201102200
02120210102121020210120200010100000121121021011000002202122012000220100110012010220000211120012100122212222111201020122102220120001011120101121211121122011101020
10110212002102210100121021110001022022220002002201002100100210122121221020212222210120222102220020110002211220210110212122000210200011111212110100112121221202022
corresponding to the solution:
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,0]
mindist=93
weight enumerator=1 [0]  2392 [93]  7222 [96]  14030 [99]  23000 [102]  31326 [105]  32430
 [108]  32936 [111]  20010 [114]  8740 [117]  3772 [120]  1058 [123]  230
 [126]  


q=3 k=11 n=184 d=108
( using automorphisms)
( link )

code with group 26 

generator matrix:
0000011111111111111111100000000000111111111111000000001111111111111110000000011111111111111100000000111111111111111000001111111111111111110000000000011111111111100000111111111111111111
0001100000000111112222200000111111000111111222111111110000011111222220001111100000111111112200011111000001111122222011110000111111122222220011111111111111122222200111000111111111111222
0111200011222001220012201111001222001000122222000111220012201122001120110011100112000111222211101222000120002201112100120112011222201122221100001122201122200011201012000001111122222012
0022002202022001020102210012222012121012112022022112011121211122121121020200012002111011111211210022122110220220222202102021202002220201120200112201220002211102110001122010012200012001
0022101102102011202021222211122212202121121012011120011110011211200012021200220120012111220022122101101202021222120020000022021001221210202101011202112210200220001122112201202201221110
0102110200202200200011212202201121220000110102212111001221222000010200022000211110222001010001002001212122020120000122220122110010100110101112211121111200200022211210100101020102210112
0021002010110212221000020010200100121122110121222212000121201001110200121102120120022210001211210020010222122121221122011212210100101121110022222221000220201012220001222121210020202011
0200211002202012011112110200000112111022000110212202000221202110210100111001021222100222100111121201002122220222022121020202212111112120201200002002112110020100122021120121200011211222
0022010211210121212000110120122202212210212110000111200221222110020210120021002101011222022211110011212220000020211200202010021112121011202001220022201200220200020010002202010010222022
0212021010212102021012022110201201201111000120011000212021222002201110100002102222220000222020020120221201120201202102100121010120021201220102111211220121222020102201220012100000222001
1011021200210221010012102201100022122011110201122001011201200211202100020010220120121020200211002111101221021120212200002221212210202021021012102011222201001200222000000201012201021120
corresponding to the solution:
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,0]
mindist=108
weight enumerator=1 [0]  3174 [108]  7314 [111]  13984 [114]  22540 [117]  28428 [120]  30866
 [123]  29670 [126]  21666 [129]  12788 [132]  4508 [135]  1794 [138]  
322 [141]  92 [144]

q=4

q=5

q=7

q=8

q=9

University of Bayreuth -