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# new linear codes from 100809

• binary:
• ternary: 15 new + 22 derived
• q=4 : 3 optimal + 4 new + 4 derived
• q=5:
• q=7:
• q=8:
• q=9:

## ternary q=3

```q=3 k=10 n=57 d=30
(using automorphisms)

code with group 129332

generator matrix:
000111001111001111000011000111001111011111000111011111000
001002111122001122111102001002110022100222111002121111110
000012220112110222000102112122010122112112122002111000021
000111022201010002112202112122100112122221212110112022011
002121021101200001012212220221002010200020010020210120212
002211212021022021100111010122220212121200112210121020112
010202020222220212012212222012211110100200220212001220101
002010112211111221001100202020220212200221101012021101121
022111220120202010202202021021010020111011202012222000012
102200220210220002111121201111011112100120122122112121200
corresponding to the solution:
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,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
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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mindist=30
weight enumerator=1 [0]  2258 [30]  7068 [33]  16126 [36]  19652 [39]  10806 [42]  2854 [45
]  284 [48]

```
```q=3 k=10 n=62 d=33
(using automorphisms)

code with group 129105
generator matrix:
00111100111100001100111100111100111100111101111100011101001111
01022200012201111211011211012201022201122210011211101202110012
01101200120211120222012200001212001202001200012211200111000100
01210201110221102212112201222211200112221110100012021210020201
00110210221220020212220110000000101120101020211202020220200222
01111120022220122021202022011001200000202010011222210200210212
02001202222020220011112120121202202100011022022020120002101220
00102201222010200121120212021000222211122022211120021200212100
01021211000012210111221221012110120020120012112122201200111221
10120000212021010011101110022102101101111222100111202111010121
corresponding to the solution:
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mindist=33
weight enumerator=1 [0]  2016 [33]  7156 [36]  14120 [39]  19232 [42]  12228 [45]  3772 [48
]  496 [51]  28 [54]

```
```q=3 k=10 n=67 d=36
(using automorphisms)

code with group 129332

generator matrix:
0011110011110111111111110001110111111100011100111111110011110011110
0011221122221002220000221112221022220200001200001111110000110101110
0002120201120010120002020120121200112101111001001221220112121120010
1120220020021100020022110112001000012001222212010221100221100100101
0121111012201222200010101021022212201102100012101100021001122221012
2022120000220012111100111211210202021002102120010222001222001111221
0121220121102202220211210000002100101211012202100120120101201201100
1002002002102210022021000101210121000010100212202112222002022001211
1021001121012010001200010210212001101201102010201112111121021102100
0220001212002020010111201012121100121022201222200101221121101220022
corresponding to the solution:
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mindist=36
weight enumerator=1 [0]  2012 [36]  6328 [39]  13634 [42]  18088 [45]  13020 [48]  5194 [51
]  716 [54]  56 [57]

```
```q=3 k=10 n=186 d=111
(using automorphisms)

code with group 128737
000111111111111100011111111111110000011111111111000111111111111100011111111111110000011111111111000000011111111100111111111111110011111111111111000000000111111100111111111111111101011100
001000000111222201100000011222220011100001111222111000111112222200100011111112220011100011111222011111100111112211000011222222221100011122222222011111111011222200000000111111221111100011
010011122000000210200111201000120122202220112002011002111220011201201101111222220000111201122012000011201001110212011222000111222211200200011122100111122001001101011111000122010110220001
002201101122011210222111001002220201221122012122211001022012202200101220012111121122200111201211001101010220120100001202011012001201002001200100212001202000010111000022012112201012220100
021100101212202022112122210021011210210100121102011111111011110202120212210001101100022010222112000100121110121000222211100122021210212111200001212000111201102020111200022121202110201200
001000000111222212212122220101100011100001111222022111200200010012102011212121200012101110120112110121101001011212012110222020022212100211101110220022002200011022212111222200102221012110
001002212012112221120201201012001220010201120220012001000100202011122021002001210212010112120200122010011222222112221120000120110012102011221011201100002222101110220201100111020120012212
000010000110121211001021000200202000122001222121221001202220202101102210121021010110012221020121010222001220112001100001112222222121000222022011001210222021011202021121211012101121222222
022110112011021101120020002022002120112112012002110122202102212112120022112102001022002110111110000222221120000001202101221110010110112111222120210202012010012101120222201000222102221110
110101200021212011021110001222200000100002201001020210201111122122002101120101202011120202122010102102022212120022002011011200112212021202200001221002210212010121111222022011112121211020
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
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1]
mindist=111
weight enumerator=1 [0]  1960 [111]  4148 [114]  6400 [117]  8416 [120]  10704 [123]  8616
[126]  9216 [129]  5608 [132]  2884 [135]  784 [138]  308 [141]  4 [159
]

```
```q=3 k=10 n=188 d=112
(using automorphisms)

code with group 128906

00000000000011111111111111111111000000011111111111111111111111110000000000001111111111111111111100011111111111110000000000000011111111111111111100000000001111111111111111111111000011110111
00001111111100000111111222222222001111100000001111111122222222220000001111110000000111222222222201100001112222220000011111111100000001111111222200111111110000000111111222222222011100121012
00110011122201222000112011111112000012200001220012222200011222220001111111220111122022000111222202200020010122220001100001222200011220011222012211000111120011122011112000011222101100212210
00110200101102022001120201112222110111211220012200122201112000120110020122110001212002122012000211200220121200110010211111001201102021211122110112002000101101222200012001202001001202112102
11222022011212202012121120121221110002000012020100101222222011010020211202001122122111201212112121102011221101120121201112222220122022112002112210021000201100211222212112201121100212210222
11112211202102021222012110201020010110112022001112221101220000220102002122221002000012122210012212021210021010011112222220002022212112202220010011202022100111012001121020021011120011201012
12120201100000200122212022210210101201002222001102122222220002220122001110111212012211121212100121220102201210102210002220021101221022011222102220202000222001000112201001101002000000001012
21012102102221010111020211212121221211000001200212002101001201001202220120112101021210020001001011220021022112102000200012222112012202000002201020022100100011012121111022020221111001220222
20200021022201111221012011220002210122010011101122020222200221222112211010020210101121212112121022212211102111021211001221221111000200202211200211022201211221122021102111002221022200212021
02102220012012201112010220020120022100000201122211122001100212022002111002201221010002111001201110222222001110000100112112221120021202010221221100011210111201211100220020100112000000000000
corresponding to the solution:
[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
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0]
mindist=112
weight enumerator=1 [0]  464 [112]  1184 [113]  1296 [114]  912 [115]  2016 [116]  2144 [117
]  1616 [118]  1632 [119]  3300 [120]  2592 [121]  3888 [122]  3144 [123
]  2288 [124]  2944 [125]  4240 [126]  3200 [127]  2080 [128]  3968 [129
]  2656 [130]  2144 [131]  3336 [132]  1968 [133]  976 [134]  1600 [135
]  1364 [136]  416 [137]  640 [138]  432 [139]  152 [140]  384 [141]  64
[143]  4 [144]  4 [160]

```
```q=3 k=11 n=64  d=33
(using automorphisms)

code with group 81

generator matrix:
0001111111000111111101111111110111111111100111111110000111111100
0010001222111001122210000112221011112222211000011120111000111001
0020222011112000101221112001222200120122200002200000112002002001
0011000100121021110211121012120001000101011222200200022222011110
0120122201220010012221122102000110011222212021212021010010222221
0210210211000202011210110211212122120110221110222001101210120120
0012210120110211000222111221020002111121020110121021100022002202
0211010100021022200022211112120012211122001200222220121002002101
0020120201220221100022220200020220101220122110002222202100020112
0122021202110010012200222111202021200122201011102000101200211212
1012010100221222022212012021121120010010101220221202002222211011
corresponding to the solution:
[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
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mindist=33
weight enumerator=1 [0]  2842 [33]  12150 [36]  33964 [39]  53092 [42]  49550 [45]  20464
[48]  4690 [51]  352 [54]  40 [57]  2 [63]

```
```q=3 k=11 n=147  d=84
(using automorphisms)

code with group 14

generator matrix:
000000000111111100000111111111110000111111111111000000011111111110001111111111111000000011111111100000011111111110111000111110000001111111111001101
000011111011122200001011122222220111000012222222111111100111111220110000011111222001111101112222200111100001111221112000011220001110011111122111110
011100112201101200012200000122221012000210112222000112202011122221220111200122002001112200120012201012201120011122221011001011111120200011100000002
012201021020011000121112202201221021111022010022002022220211200221122012202212012110110101120021112000211210022202002101121101120201201200012220021
002212221120121101120121220100112212112221010022020110020101200221201012122020220121022121100021221021011011100220000100220121202111202102200111121
010221110200010211122011201112122112122021021222221021222001201101111000222210000101221111001220110120221210022212011012111010010221202120211121211
002102120002211021102110121212200000021002101112120112002111001200011022101201002222100111121021001221110000100220111022102210010121201120002001122
011220011021021000212121212010120212220101010200022220211201002012110222021022112221010000220112021112222212001102011212221222101121121001220121220
011000222121212012101112210212021210221201102210002112221202201211201020122122120120201111202002012201200001220202122022100200022021020112010011212
012122210221222210112200112001100221022101001222221112000100101222212012201121211221211111020012101111011011111002221021212121102211111201222111102
122022111222010210102010110111112112121112002200022211021111011021022211100212222210021002110021000022121022220011202121100201222011121022102010110
corresponding to the solution:
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mindist=84
weight enumerator=1 [0]  2346 [84]  6932 [87]  13840 [90]  24472 [93]  33704 [96]  36768
[99]  29032 [102]  18472 [105]  8312 [108]  2704 [111]  524 [114]  32
[117]  2 [123]  6 [126]

```
```q=3 k=11 n=152  d=87
(using automorphisms)

code with group 81

generator matrix:
00011111110000001111001111111100011111110111111111000001111100000111111000011111100011111110011111111011111111100001111110000001111000111111100001111110
00100012220001110012110011122201101112220000111222000110222200011012222011100012201100001220100112222100001111211110111120011110012111001112211110000121
00202220110111221122012201212211221220121112001112011002022211112102222101102200210201220120201010011001220022101122012201101121220112020010000120012001
00110001001001120222220112221211021021222122120122101121100201221100110220100000022011010101222111112121020201221221110120120201201011212200012212200101
01201222012021220222222000220202122012212100102021210011212000220011122222020011221012000100002110210222022111000010011021121011111202100110011200111200
02102102110122120201212221120110200001011210001120100200202200110102012200020221202021012120212022200212212012011020121120010022220200000122221212021212
00122101200222021212100212112021202202100111201201220102200211112101020001111220022120120211112000212100220112001011110210122002100012012220211020200122
02110101001102101120220211122102012112201211210000112121122200002101120010101022010001000201211102200222011002220020022022100100112100020202102000222021
00201202012101010012001122011201111102110002212112222011002011211011001101000022100101000220200012011021201212211221212010220122120102210111211100002210
01220212022221010122212021222210212221011200202210011102102200111200122010112021101011000210110110001222220111020021120210100112202022212220222212011000
10120101002100101100022000220020101000011000100111220201000020012210111122101120001012212001211110201100120001212111011201111220220110220012112210111022
corresponding to the solution:
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mindist=87
weight enumerator=1 [0]  2040 [87]  6350 [90]  13950 [93]  23058 [96]  32170 [99]  34828
[102]  31770 [105]  19410 [108]  9574 [111]  3090 [114]  704 [117]  202
[120]

```
```q=3 k=11 n=156  d=90
(using automorphisms)

code with group 14

generator matrix:
000000000111111100001111111111110011111111111111011111111111111100011111111111110000111111111111000001111111111100001111111111110111110000000111111111011110
000011111011122201110111222222220100001112222222100000111112222200100001111222220011000112222222001110000111222201110000011122220211120011111000111122100111
011100112201101201221012011112221000120020001122200012012220112211101120112000221112011020000112011110222012011110011112211200011100211101111122000201212221
012201021020011012000202000222221011210110120212201221121121011212110200010011111111112020011021021221012101001200210120211122220200020120001022022221211002
002212221120121111020111101001220202022022021211001021002201121102210022011200001120102200100010110120111000021221202002011101220200210121221111101111100102
010221110200010211101012010001122121221120120112220111010201122010121122211112120110220201111020202001211220010220210222101202010001122221000112121220122221
002102120002211001221122210122121102012010022120200012121011201221120212211121122121220120222211002211022102202222211010002000101222202112122022101212220010
011220011021021012210101112222220020221102212121000210101122011022010220121011000022222102212002102010220100000120101111000110202220002020102012221200210021
011000222121212002110021200211012201121202122210001100001001200210220200201111001000201112212100202110010001021120010011022012121020111110212121120002212102
012122210221222222121120210111121122211220000020022022100120122211221021112210211020110220220222012110200000012010220020102011000222001201021001202102100120
122022111222010211222211000012120221222102001220002212021021020021102022200120101122102012001212002201220102002011201101101201222012212120122222222122110210
corresponding to the solution:
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mindist=90
weight enumerator=1 [0]  2788 [90]  7032 [93]  15720 [96]  23280 [99]  32174 [102]  36132
[105]  28072 [108]  19440 [111]  8904 [114]  2872 [117]  626 [120]  84
[123]  20 [126]  2 [138]

```
```q=3 k=11 n=166  d=96
(using automorphisms)

code with group 14

generator matrix:
0000000001111111000001111111111100111111111111110000111111111111000111111111111100000111111111110000000111111111000000011111111100000011111111110000000001111111000110
0000111110111222000010111222222201000011111122220011000011222222011000001111122201111011112222220001111011112222000001100000011200011100111111220011111110000111001101
0111001122011012000122000001222212001200122201120112000011000112122011120012200211112200010001221110222101110111011110201112212111111202000111001101222221222002112211
0122010210200110001211122022012211010101001100221110001202012002112201220221201200122102221220011111112010220022100120221121210111202012012000120221011222012020002012
0022122211201211011201212201001111110221120000221220020202101121120101212202022022120001220000020111220222022000201112100102101212021112021022002210002001222101001112
0102211102000102111220112011121221120102012200222101111012110002111100022221000021220121002120211120012012110122102221122220102100102212021202110112000012121222120011
0021021200022110211021101212122000121020200221212221112100110100001102210120100212101212122101012210122102102102121010012001000100101212011200021112100100012202112010
0112200110210210002121212120101211001020221000110021022101020201211022202102211210112201110122120002210012222001201211210101220021011211210012200000210112101200011111
0110002221212120121011122102120202010200101001021210210210011001120102012212212001012002112021212111121101112102101212002211111100220210201120102101121221202200201212
0121222102212222101122001120011001110222021122221022220000020022221201220112121101020010022100222021101002022101002200001111120011022111112012222100120212220111001120
1220221112220102101020101101111112200202011201211021211000000122102221110021222221112210002201100200112201011200012000220221110012220111210221021010011010100200010010
corresponding to the solution:
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mindist=96
weight enumerator=1 [0]  2528 [96]  6032 [99]  13880 [102]  20976 [105]  31280 [108]  33448
[111]  30470 [114]  21732 [117]  11128 [120]  4048 [123]  1300 [126]
296 [129]  26 [132]  2 [150]

```
```q=3 k=11 n=171  d=99
(using automorphisms)

code with group 81

generator matrix:
000111111100000011110000111111001111111100011111110111111111001111111110000111111011111111100000111110111111111000001111100000011110000001111000111111100000011110011111111
001000122200011100120111011222010011222211100111221000122222110001112220111000122100001112200111001221000011112111110012211111111120011110012111001112200111101111100001111
002022201101112211221002112012101211002212201112220012101122220110020221011022002100120111201022221110012200221001121220111122211201101121220112020010000000122220200111222
001100010010011202221010222002220222120211102011112121012201222020010102201000000202210011010101022121210202012011112211001201202010120201201011212200011012110222001222222
012012220120212202220010222111021212210001110220120010222222120020110022220200112122101002012202111102220221110020101200002101220211121011111202100110011010211020021020002
021021021101221202012200022122002111202222220022122012011210120020001022000202212222002122102112001222122120120111201211121120011020010022220200000122212010210121120120011
001221012002220212121210122000221100221000220002212111022000001020122100011112200112102202100102110001002201120220221021000102011110122002100012012220201120101210000110111
021101010011021011201200211222020002011000202001001120021010120100120100101010220000221111110221101102220110022011101020122202011122100100112100020202110202001200110212202
002012020121010100122220100022100100102121012101000112201101121200022111010000221200011222012222211220212012122200112210201000211220220122120102210111200120012200210121002
012202120222210101220010212112222112222102121012011011112002221121010220101120211101012100112011112012222201110112020012120212002120100112202022212220221122010020222121200
101201010021001011000012211010022122121000020202100011100010212121020111221011200100121222012022220101001200012022111021121102200201111220220110220012102101202210122201111
corresponding to the solution:
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mindist=99
weight enumerator=1 [0]  1980 [99]  6440 [102]  12290 [105]  21260 [108]  29306 [111]  32730
[114]  30610 [117]  23016 [120]  12780 [123]  4750 [126]  1600 [129]
300 [132]  70 [135]  10 [138]  2 [141]  2 [150]

```
```q=3 k=11 n=175  d=102
(using automorphisms)

code with group 14

generator matrix:
0000000001111111000011111111111110000111111111111001111111111111100001111111111110000001111111111000000111111111100001111111111110001111111111111000000011111111100011111001101
0000111110111222011101112222222220011000000000122010000111222222201110000111112220011110000122222000111001111222201110000011122221110000011112222000011101111111201100011000010
0111001122011012012210120111122220122011111222222100012122001222210120012000020121100220122200122011112011111000210011112211200010120011111120011001112210001112100202212112202
0122010210200110120002020002222220122100012001212010201100222001102021222012222212202011200012101112012100011001000210120211122221011200202211212110012220110220100120121001121
0022122211201211110201111010012221111001212022100210000212020002211100221210200221212212101010001002002021222021221202002011101222211222101121001122211112001121012121101112221
0102211102000102111010120100011200002010101122022121021020010111222200222221011022110212021201101011100100112102020210222101202010111002200120210210011222020202102112000020111
0021021200022110012211222101221200202201101101121202221201001010111212002122010102221112210101200100002222021021022211010002000101212112121220112010002122112101111201110001122
0112200110210210122101011122222210001200222021221221100021000022111000212020122010111201221001001102020201020000120101111000110202200122122202211220102210220111102210121020120
0110002221212120021100212002110110002001020011010000221002112000022111210120102020221221101100000101002011201212220010011022012121220100011111012110121100120222211001111212012
0121222102212222221211202101111220222001012220021002101220110211010112201110022001011001100200012002100110011020110220020102011002111101222101221110122120202200200221020221102
1220221112220102112222110000121221012201211001222110010110220100000221001222210000201022221001202122021222000120011201101101201221212002101002022112000121202002021001011020110
corresponding to the solution:
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mindist=102
weight enumerator=1 [0]  2872 [102]  6648 [105]  14170 [108]  21776 [111]  28628 [114]  33280
[117]  30156 [120]  21668 [123]  11490 [126]  4664 [129]  1456 [132]
304 [135]  22 [138]  8 [141]  2 [150]  2 [171]

```
```q=3 k=11 n=180  d=105
(using automorphisms)

code with group 14

generator matrix:
000000000111111100001111111111110000000111111111000011111111111100001111111111110000111111111111000000000011111100000011111111110000000011111111111100001111011100000111111111111111
000011111011122201110000111112220011111000111222001100111112222200010000000012220011000111112222000001111101122201111100112222220111111100001122111211111222111200111000111112220100
011100112201101210120012011120121100112012012022000200001120022201120001112200221102002000220002001110112200211200001102120001121001222200120211002101121011222111112002000020010100
012201021020011012111100202222222201222222201222001001010220112201211110120222020202000002020220110120220121112010220112200022201012011102211122000201201002200201002012001220221011
002212221120121122012211121212020021022010011212002022102202201200110000222121001202221220121222020101021120001021012120210120101020002202010002002112202200000012111101121200001000
010221110200010201101110100210020021112001112021012001211220100000221222000112012210020001110112100022122221002220002102220011201201121210020200011201102202201102110101210122201212
002102120002211001210021220222011201201100101122101010120202002211011011200212011201121010002121101122101122001001000020212120111210202202200210222002210100011112120202212010000011
011220011021021012110121021221102202011122011101111200102200110001101102201012122201111210100102002220202221002000212012221222212200120200022020200000011221201121220101120200002012
011000222121212022101122020212020200202000012002222122000221210011002121120022000002221220200122210020111211000102022012000010000020112221211111201110220000212200201012000212000220
012122210221222222211020222112102222212021122101020211011001000020222022102210102010201210222202210012001122202220221002021101121002100100102202220002100112222110010111011020222200
122022111222010211012012211210202112112022222212120022012000202212112000112120212112021210120012000221202212212121100020122010220021000220122020122100120101120210010020010021112212
corresponding to the solution:
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mindist=105
weight enumerator=1 [0]  2868 [105]  6328 [108]  12500 [111]  20632 [114]  29532 [117]  32308
[120]  28980 [123]  23792 [126]  11920 [129]  6440 [132]  1248 [135]
530 [138]  64 [141]  2 [144]  2 [150]

```
```q=3 k=11 n=190  d=111
(using automorphisms)

code with group 14

generator matrix:
0000000001111111000011111111111110001111111111111000011111111111100000011111111110001111111111111000001111111111100001111111111110011001111110000000111111111000000001111111100001111111111111
0000111110111222011101112222222221110001112222222111100000012222201111100000112220110000112222222011110111111222201110000011122221122010001220011111000111122111111110000001201110000111122222
0111001122011012012210120111122220012220120012222022200011100022210122201222221121010122120111222002221001122011210011112211200012211010222011101111122000201000012220012221112220002002200010
0122010210200110120002020002222221100221200200122100200200000102200211222002001222002111210222112000121020002001000210120211122222222012012110120001022022221111210120201122002220221002200002
0022122211201211110201111010012220221011222011001100000012200110121100211021112002102112220002220112220111221101121202002011101220000102111120121221111101111012202011021110011221221021201202
0102211102000102111010120100011201000100012111102102002011200102020101100012110202002110011121110011212011001121020210222101202010102102021102221000112121220221011020112202112120122120020010
0021021200022110012211222101221202001200021221010120021211021201222200100110010211212221202200011122110121211001122211010002000100011100110022112122022101212010102122200221202212022021201201
0112200110210210122101011122222212010002122020122022221020211210021212220222001112220100110011200100110221212022220101111000110200102122102122020102012221200212201011000101002202111001112110
0110002221212120021100212002110112000102101011021000020012001122220010111001112002201121201012210020200100120022020010011022012120110201201011110212121120002021012001201000120200222111111202
0121222102212222221211202101111221200010200221200212022111000202021100012200112222202001201211102222211001121120210220020102011002211022102001201021001202102022221112222001001112022000202002
1220221112220102112222110000121222212012111010222221121112010011011021001222100102210110112200001111102210221000111201101101201222010011220222120122222222122021101121011100220100200020212211
corresponding to the solution:
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mindist=111
weight enumerator=1 [0]  2192 [111]  5364 [114]  12540 [117]  18688 [120]  26048 [123]  31484
[126]  30072 [129]  25142 [132]  14792 [135]  7324 [138]  2420 [141]
840 [144]  224 [147]  12 [150]  4 [153]

```
```q=3 k=11 n=194  d=114
(using automorphisms)

code with group 14

generator matrix:
00000000011111110000111111111111000000011111111111111000000001111111100000111111111110000000011111111000000111111111100000011111111110000001111111111000011111111111100000001111111110001111101111
00001111101112220111011122222222001111100011122221122011111110000111200011000111222220000111101111112000111001111222200111100011112220000110000000122011100000111222200111110001111220010011110000
01110011220110120122101201111222110011201101101221122000112220112011201100122001011120011012210011122011002110012000201022211212220121111020001222202100111122112000111011111220002011120111202100
01220102102001101200020200022222011111210100110220022100220021010011211201112010111110102121102201211112001022200022011011101000112101122000122022110002101202111222201200010220222212220202121111
00221222112012111102011110100122011212121202110222211101220010020201001022120112000021221000110022111010011021210102211001200111110111201212001201110212020020111012201212211111011110211200121100
01022111020001021110101201000112101101001212202100201001011211002122101211021010101112221220010012011111122000211110202222110002122102101020221221221202102221012020122210001121212201210110211112
00210212000221100122112221012212001002202202101001111201221102111221011221000210101210101211222222201102011111011120101112101111212000222100122000022222110100020001021121220221012122201022122111
01122001102102101221010111222222200010112100201210201211211001212002220222101200120221122201100210211122020101022010202000120022111102021111211221201201011110001102020201020122212001002210120112
01100022212121200211002120021101022112110102012112101001120121001111020221112102111122022102122122110002200210201100201112100111111200100122110110121200100110220121211102121211200020020111012120
01212221022122222212112021011112000211220202122220000221100111021010012021200211011000112100200202112211220122100220001222020222210022011111202111120102200201020110012010210012021020202001202200
12202211122201021122221100001212002122121120222022112212210100212210021011021102100121012001210212110220001210002221202202212212202122122201200200120112011011012012221201222222221221202020210112
corresponding to the solution:
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mindist=114
weight enumerator=1 [0]  2588 [114]  6842 [117]  12980 [120]  18978 [123]  26880 [126]  32216
[129]  28576 [132]  23012 [135]  15260 [138]  6616 [141]  2384 [144]
688 [147]  120 [150]  2 [159]  2 [171]  2 [174]

```

## q=4

```q=4 k=6 n=29 d=18 optimal

(using automorphisms)

code with group 33611

generator matrix:
[[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]]
[[0,0]:[0,0]:[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]:[0,0]:[0,0]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:
[1,0]:[1,1]:[0,1]:[1,0]:[1,1]]
[[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:
[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[1,1]:[1,0]:[0,1]:[0,1]:[1,1]:[1,0]:[1,0]:
[0,1]:[1,1]:[1,0]:[0,1]:[1,1]]
[[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,1]:[0,1]:[0,1]:[1,1]:
[1,0]:[0,1]:[0,1]:[1,1]:[1,0]:[1,1]:[0,1]:[1,0]:[0,0]:[0,0]:[0,0]:[0,0]:
[0,0]:[0,0]:[0,1]:[1,0]:[1,1]]
[[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[0,0]:[0,0]:[0,0]:[1,0]:[1,1]:[0,1]:[1,1]:
[0,1]:[1,0]:[0,1]:[1,0]:[1,1]:[0,0]:[0,0]:[0,0]:[1,1]:[1,0]:[0,1]:[1,1]:
[1,0]:[0,1]:[0,0]:[0,0]:[0,0]]
[[1,1]:[1,0]:[0,1]:[0,0]:[0,0]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[0,0]:
[0,0]:[0,0]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[1,0]:[1,0]:[1,0]:[1,1]:
[1,1]:[1,1]:[1,0]:[1,0]:[1,0]]

corresponding to the solution:
[0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0]
mindist=18
weight enumerator=1 [0]  570 [18]  1011 [20]  1140 [22]  1107 [24]  258 [26]  9 [28]

```
```q=4 k=6 n=37 d=24 optimal

(using automorphisms)

code with group 33611

generator matrix:
[[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]]
[[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]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:
[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:
[1,1]]
[[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,1]:[1,0]:[1,1]:[0,0]:[0,1]:[1,0]:
[1,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:
[0,1]:[1,1]:[1,0]:[0,1]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[1,0]:[0,1]:
[1,1]]
[[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[1,0]:[1,0]:[1,0]:[0,0]:[0,1]:[1,1]:
[1,0]:[1,1]:[0,1]:[1,0]:[0,1]:[1,0]:[1,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:
[0,0]:[1,0]:[1,1]:[0,1]:[0,0]:[0,0]:[0,0]:[1,0]:[1,1]:[0,1]:[0,1]:[1,0]:
[1,1]]
[[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:[0,0]:[0,0]:[0,0]:
[0,0]:[1,0]:[0,1]:[1,1]:[1,1]:[1,0]:[0,1]:[0,0]:[0,0]:[0,0]:[1,1]:[1,0]:
[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,0]:[0,1]:[1,1]:[0,1]:[1,1]:
[1,0]]
[[1,1]:[1,0]:[0,1]:[0,0]:[0,0]:[0,0]:[1,0]:[0,1]:[1,1]:[0,0]:[1,1]:[1,1]:
[1,1]:[1,0]:[1,0]:[1,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,0]:[1,0]:
[1,0]:[0,1]:[0,1]:[0,1]:[0,1]:[0,1]:[0,1]:[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:
[1,1]]

corresponding to the solution:
[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
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0]
mindist=24
weight enumerator=1 [0]  810 [24]  810 [26]  1020 [28]  996 [30]  441 [32]  18 [34]

```
```q=4 k=7 n=25 d=14 optimal

(using automorphisms)

code with group 127077

generator matrix:
[[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]]
[[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:
[1,0]:[1,0]:[1,0]:[1,1]:[0,0]:[0,1]:[1,1]:[0,0]:[0,1]:[1,0]:[0,0]:[0,0]:
[0,1]]
[[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[0,0]:[0,1]:[1,0]:[1,1]:[1,1]:[1,1]:[1,1]:
[0,0]:[0,1]:[1,0]:[1,1]:[0,0]:[0,0]:[1,0]:[1,0]:[1,0]:[1,1]:[0,0]:[0,1]:
[1,1]]
[[0,0]:[0,0]:[0,0]:[0,0]:[0,1]:[0,0]:[0,1]:[1,1]:[1,0]:[0,1]:[0,1]:[1,0]:
[0,1]:[1,1]:[1,0]:[1,0]:[1,1]:[0,0]:[0,1]:[1,0]:[0,0]:[0,1]:[0,1]:[0,0]:
[0,0]]
[[0,0]:[1,1]:[0,0]:[1,1]:[0,0]:[1,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:
[1,1]:[1,1]:[0,1]:[1,0]:[1,0]:[0,0]:[0,0]:[1,1]:[1,0]:[1,0]:[1,1]:[0,0]:
[0,1]]
[[0,0]:[0,0]:[0,0]:[0,1]:[0,0]:[0,0]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[0,1]:
[0,1]:[1,0]:[1,1]:[1,0]:[0,1]:[1,1]:[0,0]:[0,1]:[1,0]:[0,0]:[0,0]:[0,1]:
[0,0]]
[[1,1]:[0,0]:[0,0]:[0,0]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[1,1]:[0,0]:[1,1]:
[1,1]:[1,0]:[1,1]:[0,1]:[0,0]:[1,0]:[0,0]:[1,0]:[1,1]:[1,0]:[0,1]:[1,1]:
[0,0]]

corresponding to the solution:
[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=14
weight enumerator=1 [0]  846 [14]  2427 [16]  5292 [18]  5580 [20]  2022 [22]  216 [24]

```
```q=4 k=8 n=32 d=18

(using automorphisms)

code with group 126540

generator matrix:
[[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:
[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[1,1]:[1,1]:
[1,1]:[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[0,0]]
[[0,0]:[0,0]:[0,1]:[1,0]:[1,1]:[1,1]:[0,1]:[0,1]:[1,0]:[1,1]:[1,1]:[1,1]:
[0,1]:[1,1]:[1,1]:[0,0]:[1,1]:[0,0]:[0,1]:[1,1]:[0,0]:[1,1]:[0,0]:[0,1]:
[1,0]:[1,1]:[1,1]:[1,1]:[0,0]:[0,1]:[0,0]:[1,1]]
[[0,0]:[1,0]:[1,1]:[1,0]:[0,0]:[1,0]:[0,0]:[1,0]:[1,1]:[1,1]:[0,0]:[0,1]:
[0,0]:[0,0]:[1,1]:[1,1]:[0,0]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[1,0]:[1,0]:
[1,0]:[0,1]:[1,0]:[1,1]:[0,1]:[0,1]:[0,0]:[0,1]]
[[0,0]:[1,1]:[0,0]:[0,1]:[1,0]:[1,1]:[0,0]:[0,0]:[1,0]:[0,1]:[0,1]:[0,0]:
[1,1]:[0,1]:[1,1]:[1,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,0]:[1,1]:[0,1]:
[0,1]:[0,1]:[1,1]:[1,1]:[1,0]:[0,0]:[1,1]:[1,1]]
[[0,0]:[0,0]:[1,1]:[0,0]:[1,1]:[1,0]:[1,0]:[0,1]:[0,0]:[1,0]:[0,1]:[1,1]:
[0,0]:[1,0]:[1,0]:[0,0]:[1,0]:[1,0]:[1,1]:[0,1]:[0,1]:[0,0]:[1,0]:[1,0]:
[0,1]:[1,0]:[0,0]:[1,0]:[0,1]:[0,1]:[0,0]:[0,0]]
[[0,0]:[0,0]:[1,0]:[1,1]:[0,1]:[0,0]:[1,0]:[0,0]:[0,1]:[0,1]:[0,0]:[0,1]:
[0,0]:[0,1]:[0,0]:[1,0]:[1,0]:[1,0]:[1,1]:[1,0]:[0,0]:[0,0]:[1,0]:[1,0]:
[0,1]:[1,1]:[0,0]:[0,1]:[0,0]:[0,1]:[0,0]:[1,1]]
[[0,0]:[0,0]:[1,1]:[1,0]:[1,0]:[1,1]:[0,0]:[0,0]:[1,0]:[0,1]:[1,0]:[1,1]:
[1,1]:[1,0]:[1,1]:[0,0]:[0,0]:[1,0]:[1,1]:[1,0]:[0,0]:[0,1]:[1,0]:[0,0]:
[1,0]:[0,0]:[1,1]:[1,0]:[1,1]:[0,0]:[1,0]:[1,1]]
[[1,1]:[0,0]:[0,0]:[0,0]:[0,1]:[1,1]:[1,1]:[0,0]:[1,0]:[0,0]:[0,1]:[0,1]:
[1,1]:[0,1]:[0,0]:[1,0]:[1,0]:[0,1]:[0,0]:[0,0]:[0,1]:[1,1]:[1,0]:[0,0]:
[1,0]:[0,0]:[0,1]:[0,0]:[1,1]:[0,1]:[0,1]:[0,0]]

corresponding to the solution:
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mindist=18
weight enumerator=1 [0]  1785 [18]  5505 [20]  13821 [22]  21465 [24]  16491 [26]  5715 [28
]  735 [30]  18 [32]

```
```q=4 k=9 n=81 d=50

(using automorphisms)

code with group 127213

generator matrix:
[[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[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]:[0,0]:[1,1]:
[1,1]:[1,1]:[1,1]:[0,0]:[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]:[0,0]:[0,0]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]]
[[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[0,1]:[1,0]:[1,1]:[0,0]:[1,1]:[1,1]:
[0,1]:[0,1]:[0,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[0,0]:
[0,0]:[0,0]:[1,1]:[1,1]:[0,0]:[1,0]:[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:
[0,0]:[1,1]:[1,1]:[0,0]:[0,1]:[0,1]:[0,1]:[1,1]:[1,1]:[0,0]:[1,1]:[0,0]:
[0,1]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,1]:[1,0]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[1,0]:[1,0]:[1,1]:[1,1]:
[1,1]:[0,0]:[0,0]:[0,0]:[0,1]:[0,1]:[0,1]:[1,1]:[1,1]]
[[0,0]:[1,1]:[0,0]:[0,0]:[0,1]:[1,0]:[0,1]:[1,1]:[0,0]:[0,0]:[0,0]:[1,1]:
[0,0]:[1,0]:[1,1]:[1,0]:[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[0,0]:[1,0]:
[1,0]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[1,0]:[1,0]:[1,1]:[0,1]:[1,1]:[1,1]:
[0,0]:[1,0]:[1,0]:[1,0]:[0,0]:[0,1]:[1,1]:[0,1]:[1,1]:[1,1]:[1,0]:[0,0]:
[1,1]:[0,1]:[1,0]:[0,0]:[0,1]:[1,1]:[1,0]:[1,1]:[0,1]:[1,0]:[0,0]:[0,1]:
[0,1]:[0,1]:[1,0]:[0,1]:[1,1]:[1,0]:[1,0]:[1,1]:[0,0]:[0,1]:[0,0]:[0,1]:
[1,1]:[0,1]:[0,1]:[1,1]:[0,0]:[0,1]:[1,1]:[0,0]:[0,1]]
[[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[0,0]:[1,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:
[0,0]:[0,1]:[0,0]:[1,0]:[0,0]:[1,1]:[0,0]:[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:
[1,1]:[0,0]:[1,0]:[0,0]:[1,0]:[0,0]:[0,1]:[1,1]:[0,0]:[1,0]:[0,1]:[0,1]:
[0,0]:[1,0]:[1,1]:[1,0]:[1,0]:[0,1]:[1,1]:[1,0]:[0,0]:[0,0]:[1,0]:[0,1]:
[1,1]:[1,0]:[1,1]:[1,0]:[0,1]:[0,0]:[1,1]:[0,1]:[0,0]:[0,0]:[1,0]:[0,0]:
[1,0]:[1,1]:[0,0]:[1,0]:[1,0]:[0,1]:[1,0]:[0,1]:[0,1]:[1,1]:[0,0]:[1,1]:
[1,0]:[1,0]:[1,0]:[0,1]:[1,0]:[1,1]:[1,1]:[1,1]:[0,1]]
[[0,0]:[0,0]:[0,1]:[1,0]:[1,0]:[1,0]:[0,0]:[1,1]:[1,0]:[1,0]:[1,0]:[0,0]:
[1,0]:[0,0]:[0,0]:[0,0]:[1,1]:[0,1]:[1,1]:[1,0]:[0,0]:[0,0]:[0,0]:[0,1]:
[1,0]:[0,1]:[1,0]:[0,1]:[0,0]:[1,0]:[0,1]:[1,0]:[1,0]:[1,0]:[0,1]:[1,1]:
[1,1]:[0,0]:[0,1]:[0,1]:[0,1]:[1,0]:[0,1]:[1,0]:[1,1]:[0,0]:[1,1]:[1,0]:
[1,1]:[0,1]:[0,1]:[1,0]:[0,1]:[0,1]:[1,0]:[1,0]:[0,1]:[0,1]:[1,0]:[1,0]:
[1,1]:[0,0]:[0,0]:[0,0]:[0,1]:[0,0]:[1,0]:[1,0]:[0,0]:[1,1]:[1,1]:[1,1]:
[0,0]:[0,1]:[1,1]:[1,0]:[0,0]:[0,1]:[0,1]:[0,0]:[1,1]]
[[0,0]:[1,0]:[1,0]:[1,1]:[0,0]:[1,0]:[1,1]:[1,0]:[0,1]:[1,0]:[1,1]:[1,0]:
[0,1]:[0,0]:[0,0]:[1,0]:[0,0]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[0,1]:[1,1]:
[0,0]:[1,0]:[0,0]:[1,1]:[1,1]:[0,0]:[1,0]:[1,0]:[0,0]:[1,1]:[0,0]:[0,0]:
[0,0]:[1,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,0]:[1,0]:[1,0]:[1,0]:[1,1]:[1,0]:
[1,0]:[0,1]:[1,0]:[0,1]:[1,1]:[0,0]:[1,0]:[1,0]:[0,1]:[0,0]:[1,1]:[0,0]:
[0,0]:[0,0]:[0,0]:[1,1]:[0,1]:[0,1]:[1,0]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:
[0,0]:[0,1]:[1,1]:[1,0]:[1,0]:[1,1]:[1,1]:[0,1]:[0,1]]
[[0,0]:[1,1]:[0,0]:[0,0]:[0,1]:[1,1]:[1,1]:[1,0]:[1,0]:[0,1]:[0,1]:[0,0]:
[0,1]:[1,0]:[0,1]:[0,0]:[1,1]:[1,0]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[1,1]:[0,0]:[1,0]:[0,1]:[0,1]:[1,1]:[0,1]:[1,1]:[0,1]:
[0,1]:[1,1]:[1,1]:[0,0]:[1,0]:[1,1]:[0,0]:[0,1]:[0,1]:[0,0]:[1,1]:[0,0]:
[0,0]:[0,1]:[1,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,0]:[0,0]:[0,1]:[1,1]:[0,0]:
[0,1]:[1,1]:[0,1]:[1,1]:[0,1]:[0,1]:[0,1]:[0,1]:[0,1]:[0,0]:[0,0]:[1,1]:
[0,1]:[0,0]:[1,1]:[0,1]:[0,0]:[1,0]:[1,1]:[0,1]:[1,0]]
[[0,0]:[0,1]:[1,0]:[1,1]:[1,0]:[0,0]:[0,0]:[1,1]:[0,1]:[0,0]:[1,1]:[1,1]:
[0,0]:[1,0]:[0,1]:[0,1]:[0,1]:[1,1]:[0,1]:[0,1]:[1,1]:[1,0]:[1,1]:[0,1]:
[0,1]:[1,1]:[0,0]:[1,1]:[1,0]:[0,0]:[0,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,0]:
[0,0]:[0,1]:[1,0]:[1,0]:[0,0]:[1,1]:[1,0]:[1,1]:[0,1]:[0,0]:[0,1]:[0,0]:
[1,1]:[0,0]:[0,0]:[1,1]:[1,0]:[1,0]:[0,1]:[1,0]:[0,1]:[0,1]:[1,1]:[1,1]:
[1,1]:[0,0]:[1,1]:[0,1]:[1,1]:[0,0]:[1,1]:[1,1]:[0,1]:[0,0]:[1,1]:[0,1]:
[1,1]:[0,1]:[0,1]:[1,0]:[0,1]:[0,1]:[1,1]:[0,1]:[1,0]]
[[1,1]:[1,0]:[1,0]:[0,1]:[1,0]:[1,1]:[1,1]:[0,1]:[1,1]:[1,1]:[1,0]:[1,1]:
[1,0]:[1,1]:[1,0]:[0,1]:[0,1]:[1,0]:[1,1]:[1,1]:[1,0]:[1,0]:[1,1]:[1,1]:
[1,0]:[1,0]:[1,0]:[1,0]:[0,1]:[0,1]:[1,0]:[0,1]:[1,1]:[0,1]:[0,1]:[0,1]:
[0,1]:[1,1]:[0,1]:[1,0]:[1,1]:[1,0]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[0,1]:
[0,1]:[0,1]:[1,1]:[1,1]:[1,0]:[1,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:
[0,0]:[0,0]:[0,0]:[1,1]:[1,0]:[1,0]:[0,1]:[1,0]:[0,1]:[0,1]:[1,0]:[1,0]:
[1,1]:[1,1]:[1,1]:[1,0]:[1,1]:[0,1]:[0,1]:[1,1]:[1,1]]

corresponding to the solution:
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mindist=50
weight enumerator=1 [0]  1512 [50]  5886 [52]  12237 [54]  23787 [56]  40851 [58]  50517
[60]  51651 [62]  40122 [64]  23499 [66]  8937 [68]  2484 [70]  606 [72
]  54 [74]

```
```q=4 k=9 n=118 d=76

(using automorphisms)

code with group 127213

generator matrix:
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[0,1]:[0,1]:[1,1]:[0,1]:[0,1]:[0,1]:[0,1]:[1,1]:[0,1]:[0,0]]

corresponding to the solution:
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mindist=76
weight enumerator=1 [0]  1647 [76]  4437 [78]  9801 [80]  17076 [82]  27378 [84]  37206 [86
]  41283 [88]  43194 [90]  34560 [92]  24705 [94]  13500 [96]  5292 [98
]  1548 [100]  324 [102]  135 [104]  54 [106]  3 [108]

```
```q=4 k=9 n=121 d=78

(using automorphisms)

code with group 127213

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[1,1]:[0,0]:[0,1]:[1,0]:[1,0]:[1,0]:[0,0]:[0,0]:[1,0]:[0,1]:[0,1]:[0,0]:
[1,0]:[1,0]:[0,0]:[1,1]:[0,0]:[1,1]:[1,0]:[0,1]:[0,0]:[0,1]:[1,1]:[0,1]:
[0,0]:[1,0]:[0,0]:[1,0]:[1,1]:[1,1]:[0,0]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:
[0,1]:[1,0]:[0,0]:[0,0]:[0,1]:[0,0]:[1,0]:[1,1]:[1,0]:[0,1]:[1,1]:[0,0]:
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[0,0]:[0,0]:[1,1]:[0,1]:[0,1]:[1,1]:[0,0]:[1,0]:[1,1]:[0,0]:[0,1]:[0,0]:
[1,0]:[1,0]:[0,1]:[1,0]:[0,0]:[0,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,1]:[1,1]:
[0,0]:[0,1]:[1,1]:[0,0]:[0,0]:[0,1]:[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[1,0]:
[0,1]]
[[0,0]:[0,1]:[1,0]:[1,1]:[1,0]:[0,0]:[0,0]:[1,1]:[0,1]:[0,0]:[1,0]:[0,1]:
[0,1]:[0,1]:[1,0]:[1,1]:[0,0]:[0,1]:[0,1]:[0,0]:[1,1]:[0,0]:[0,1]:[1,1]:
[1,1]:[1,1]:[1,0]:[1,0]:[0,1]:[0,0]:[0,1]:[1,1]:[0,0]:[1,1]:[1,0]:[0,0]:
[1,0]:[1,0]:[1,0]:[0,0]:[1,0]:[0,1]:[0,1]:[1,0]:[0,0]:[0,1]:[0,0]:[0,0]:
[1,0]:[1,1]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:[0,0]:[0,0]:[0,1]:[1,1]:[0,1]:
[1,0]:[1,1]:[0,0]:[1,0]:[0,1]:[1,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:
[1,1]:[0,0]:[0,0]:[1,0]:[0,1]:[0,1]:[0,0]:[1,1]:[0,0]:[1,0]:[1,1]:[1,0]:
[0,1]:[0,1]:[1,0]:[0,1]:[0,1]:[0,1]:[0,1]:[1,0]:[0,0]:[0,0]:[0,1]:[0,1]:
[1,1]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:[0,1]:[1,0]:[1,0]:[0,0]:[1,1]:[1,0]:
[1,1]:[0,1]:[0,1]:[0,1]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:[1,0]:[0,0]:[1,1]:
[1,0]]
[[1,1]:[1,0]:[1,0]:[0,1]:[1,0]:[1,1]:[1,1]:[0,1]:[1,1]:[1,1]:[1,1]:[1,0]:
[0,1]:[0,1]:[1,0]:[0,1]:[1,0]:[1,0]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[0,1]:
[0,1]:[1,1]:[1,0]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[1,0]:[1,1]:
[1,0]:[0,1]:[0,1]:[0,1]:[0,1]:[1,1]:[0,1]:[1,0]:[0,1]:[0,1]:[1,1]:[0,1]:
[0,1]:[1,1]:[1,0]:[1,0]:[1,0]:[1,1]:[0,1]:[1,1]:[1,0]:[1,0]:[1,1]:[1,0]:
[1,0]:[1,0]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[0,1]:[1,0]:[0,1]:[0,1]:[0,1]:
[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]:[0,1]:[1,1]:
[1,0]:[1,0]:[0,1]:[1,1]:[1,1]:[0,1]:[1,1]:[0,1]:[1,1]:[1,0]:[1,0]:[1,0]:
[1,0]:[0,1]:[1,1]:[1,1]:[0,1]:[1,0]:[1,1]:[1,1]:[0,1]:[0,1]:[1,0]:[0,1]:
[1,0]]

corresponding to the solution:
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mindist=78
weight enumerator=1 [0]  1458 [78]  4239 [80]  9414 [82]  15786 [84]  26361 [86]  34731 [88
]  41547 [90]  43263 [92]  36018 [94]  25416 [96]  14238 [98]  6564 [100
]  2403 [102]  621 [104]  81 [106]  3 [108]

```

## q=9

University of Bayreuth -