´

# new linear codes from 260312

• binary: 1 new + 1 derived
• ternary: 1 optimal + 3 new + 11 derived (2 optimal)
• q=4: 4 new + 6 derived
• q=5: 1 new
• q=7:
• q=8: 1 new
• q=9: 4 new + 3 derived

## binary q=2

```q=2 k=12 n=85 d=36

(using automorphisms)

code with group 20815

generator matrix:
0000001111000011111100111111110000111111000011111100001111110000111111000110000001111
0000110011000100011111000011110001000001011100011100000011110011000011001010011110000
0000111111001100000101001100010111000011100100101100110100010100000100110000111110000
0000000001011100101111110001110000011111000100010111011000101100000001011000100110001
0001010010000101101110010100110011000101101101011011111001100001001001111011001011111
0011001110100011100111010001011111001010111110111001100100110011011100000001011000011
0001110101001011001011001111100011011100100010000110011100011101011011000110000000101
0011001111010001101011011111011100010010001001100110111100010000100010011000011010100
0111010111101011000101001100111101100101000011010100111110110010000011011110001000110
0000000010000110010110111110011010011010110011101111100000110100000110100100011100111
0101011000000000100101000011100100111110110111000110101111001111001010011111111001010
1100011100111110100111011001110010111101000110001101111011011011111010010010100010010
corresponding to the solution:
[1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0]
mindist=36
weight enumerator=1 [0]  820 [36]  1028 [40]  1310 [44]  745 [48]  180 [52]  10 [56]  2 [60
]

```

## ternary q=3

```q=3 k=6 n=178 d=117  optimal

(using automorphisms)

code with group 13

generator matrix:
0000010011110111111111111011111111111011111011111111111011111011111011111001111011111011111000111011111001111001111001111011001111001111001111000111001111000111001111000111000011
0000100101111011111111122101112112222101122101112112222101122101222101122110012101222101112001012102222010222110022010122102110012110012110012011002010112001012110011011001001100
0001001100111101111112222220112121112210112120122221122210222222012112202021202220112120122012002210111120011021101110201210011220121200011220102020110120011020012201101020010001
0010001110011110111122212212012211222121012222022121211221201110111210221220110112120122220122000122022212002110220121100022220202002211121001020110112200112000210220100202100100
0100001111001111011221212211202121121112110212220212212122021121220222120102102221021222201220200211101121100201101211020201202120110021102210210002122001120200201202022200010010
1000001011101111101211211211120212122111202211201222121112210222102122011121020212202212011200120122220202220112020102021120122001211200210201102200202011200201221010220010101000
corresponding to the solution:
[1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0
,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0]
mindist=117
weight enumerator=1 [0]  610 [117]  90 [126]  26 [135]  2 [144]

```
```
q=3 k=8 n=218 d=138

(using automorphisms)

code with group 131298

generator matrix:
00000000001111111111111111111111111100000000111111111111111111111111111100000000111111111111111111111111111100000000000000111111111111111111111100000000000111111111111111111111111100000001111111111111111111111111111110
00000111110000000011111111122222222200011111000000001111111222222222222200011111000000000000001111111222222200001111111111000000011111122222222200001111111000000011111111111122222200000110011111111111111122222222222201
00111012220001122200011112201111222200100222000111120011122001111112222211100012000000011122220001122000022201110001122222001112201122201111122200110111222000112200111122222200011200011000100000001111111200011122222220
00012200120112222212200221200011001211002001022001200000111010011220012212200111001122212201121221202111200210120120200222110220202201100001101211012002112012020102012200112211201101111002000112220001122100201100001110
00012122011220000012200221222200220102202001012020202212002010122000110220101222020011211220110112010122201202001120201002110120220122210012202222122010112012220110201111000112201110002001222220011120000011012200001122
01011220122220212220011111220212021221111222101211120101110201211122202000211111022212002010202120022102100202022220222010010220020022220201211102222012002221000222200200121120101210220020201020000100101212100101220222
11001201010012011110012010122001111002110220012020011001202002022022120001001201220021112221021020110101201020002120021210212020222110020122100220011220110010221021112000101200222221202012202122221012102121112121000111
12010120011100010211200102122100120222121020110101221121222210112201221020222002100111011122201222010202221110100211212200000111202110111110101002111112010021001022011012220122112212022021102120221101010202220222010211
corresponding to the solution:
[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1]
mindist=138
weight enumerator=1 [0]  1332 [138]  1212 [141]  1804 [144]  552 [147]  480 [150]  216 [153
]  312 [156]  504 [159]  144 [162]  4 [180]

```
```
q=3 k=8 n=225 d=144

(using automorphisms)

code with group 131258

generator matrix:
000000000000001111111111111111111111000001111111111111000000001111111111000000001111111111000000000000011111111111111111111111000001111111111111000000000001111111111111111111111111000000000000001111111111111111111111111111000
000001111111110000001111111122222222001110000001111122011111110000111222001111110001122222000001111111100000111111111111222222011110000111111222000011111110000000000111111111222222000111111111110000000011111111112222022011101
001110000111220000010011222201112222011120112220001112000011220012122002010111120011201122011110000111201122000001122222001112000120001012222012000100111220000111222000012222011122111000011112220111222200001111220012111111000
000001111111110000001111111122222222001110000001111122011111110000111222110000201120210101111120022002212211002220000022110011122221221000022011111100022221112122122000200002100100112000200220222122112202220002020100022011101
110010111022111112211102112221120011100212000220012221101100221110212000111022021112122100201110111222110102110110012212221220201021111101211220112000200121121011202011021121222201011111122002121001220200010220122020121020110
220222122200000110201120010200212211100222022000000110020101012221102001100011100010111121111111012112211021112011222210010100102221110112122020010122201100010022222102100000101021010112202221000110110010210111221100020121220
221022000101120011101202020102122200120200002112200012200112200000220112102022012210121011112212011001211210111222220001002022020120112200122000220000111120011100210122020012122020200222222001012001112122201001122011110001211
121102112102101000020001010202020102202111221010211120200102210212011010122002121220000021110202020011112221021221001222002120000101010202002201001201000110212001101200200121100222121011112121012000012111121011211221020121220
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0
,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
,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1]
mindist=144
weight enumerator=1 [0]  3274 [144]  2196 [153]  1088 [162]  2 [225]
```
```
q=3 k=8 n=243 d=156

(using automorphisms)

code with group 131290

generator matrix:
000000000000000000000000111111111111111111111111111111111111111111111111111111111000000000000000000000000111111111111111111111111111111111111111111111111111111111000000000000000000000111111111111111111111111111111111111111111111111111111111111
000000001111111111111111000000000000000011111111111111112222222222222222222222222000001111111111111111111000000000000000000011111111111111111112222222222222222222000000011111111111111000000000000001111111111111111111111122222222222222222222222
000111110000001122222222000001111111122200000111112222220000011111111111222222222111110000001111111122222000001111122222222200000000111112222220000011111111222222011111100000111222222000111111222220000000001111112222222200011111111111122222222
111001220011220200001222011220001122200200012001220111110001200000111122000011222000110111220011122211222001120112200111112200000122001120222220112200111122001112100011101122012012222011011222001120000001220001220111122201100001111122200000112
002220010112220200011002011120020012200222220120012022220011000011222200001112022222021122220111200211022020020001202000111211222001122212001110110011222200111222100011120011201201111122122000112200000001220001220111122220022220000011122222001
021120211222120222222010101010210121202001220011002102220220001202111212121201201012112100220001122111001200001020120012012001002211111210020012020201001102020122001200201122112100122011012001120101111222120021000001100220101220011201100112021
202100001210020022210210021122021000201210211012211020002020002120222102022120002021020100112002000000021012212011120102210010220120122111200022201202110020121100202001121112222212101211202121011000011021012212120121100122101110122210101022101
122101022020111201220200100100100112112211002212211220122211010111012120011221100221010201020200101001102221221211102011010202011210211211220220102202011211012122112220220222222112200212110222010121201100121222220021202212202121001202020011220
corresponding to the solution:
[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,69,87,81,78,87,87,69,87,78,87,69,78,87,87,78,87,69,87,87,81,87,81,87
,81,81,81,81,81,81,81,81,81,81,81,81,0]
mindist=156
weight enumerator=1 [0]  3240 [156]  726 [162]  1296 [165]  1296 [174]  2 [243]

```

## q=4

```q=4 k=9 n=100 d=64

(using automorphisms)

code with group 127797

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

corresponding to the solution:
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mindist=64
weight enumerator=1 [0]  3120 [64]  5925 [66]  14310 [68]  24570 [70]  35580 [72]  44265
[74]  46965 [76]  39270 [78]  28770 [80]  12690 [82]  5010 [84]  1380
[86]  225 [88]  45 [90]  15 [98]  3 [100]

```
```q=4 k=6 n=182 d=132

(using automorphisms)

code with group 89301

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

corresponding to the solution:
[0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1
,0,0,1,1,0]
mindist=132
weight enumerator=1 [0]  1782 [132]  1035 [136]  720 [140]  219 [144]  246 [148]  45 [152
]  36 [156]  12 [160]

```
```q=4 k=9 n=194 d=132

(using automorphisms)

code with group 127389

generator matrix:
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corresponding to the solution:
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mindist=132
weight enumerator=1 [0]  7119 [132]  22689 [136]  44478 [140]  62658 [144]  63633 [148]
42408 [152]  15939 [156]  2898 [160]  252 [164]  63 [168]  3 [172]  3 [192
]

```
```q=4 k=9 n=216 d=148

(using automorphisms)

code with group 127255

generator matrix:
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corresponding to the solution:
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1]
mindist=148
weight enumerator=1 [0]  8295 [148]  21030 [152]  38850 [156]  61320 [160]  61635 [164]
45780 [168]  18180 [172]  6093 [176]  960 [180]

```

## q=5

```q=5 k=8 n=49 d=31

(using automorphisms)

code with group 129974

generator matrix:
0011111111110011111111110011111111110011111111111
1101233334441100011112441101112223440111113444442
1230314442440312201232030100141234021300233001220
3103000243442012324113420010124312333034143031014
0204121043343142144330100233134200301341101302301
0143022441124103141124043310200332111414004230411
1212341311014042130032222024121340231042101112034
0033213420314322433134241303212221124231143011341
corresponding to the solution:
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mindist=31
weight enumerator=1 [0]  1928 [31]  2928 [32]  6096 [33]  10176 [34]  16872 [35]  27420 [36
]  37032 [37]  48288 [38]  54672 [39]  55944 [40]  48600 [41]  35448 [42
]  23504 [43]  13188 [44]  6048 [45]  1992 [46]  432 [47]  52 [48]  4 [49
]

```

## q=8

```q=8 k=5 n=53 d=42

(using automorphisms)

code with group 59709

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

corresponding to the solution:
[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
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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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,1,0,1,1]
mindist=42
weight enumerator=1 [0]  3143 [42]  6223 [44]  9702 [46]  9065 [48]  4291 [50]  343 [52]

```

## q=9

```q=9 k=6 n=94 d=75

(using automorphisms)

code with group 112

generator matrix:
[[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]:[0,0]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[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]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:
[0,0]:[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]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:
[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]]
[[1,1]:[0,1]:[0,1]:[2,1]:[2,2]:[1,0]:[1,0]:[1,2]:[1,2]:[2,2]:[0,1]:[1,0]:
[1,1]:[1,2]:[2,2]:[0,0]:[0,1]:[0,2]:[2,0]:[2,2]:[1,1]:[1,0]:[1,2]:[1,2]:
[2,2]:[1,1]:[1,2]:[2,0]:[2,0]:[2,2]:[0,0]:[0,1]:[0,2]:[2,0]:[2,1]:[1,1]:
[1,0]:[1,2]:[1,2]:[2,1]:[0,0]:[0,0]:[1,0]:[2,0]:[2,1]:[0,0]:[1,0]:[1,2]:
[2,0]:[2,1]:[0,1]:[1,0]:[1,2]:[2,1]:[2,1]:[1,1]:[1,1]:[1,2]:[2,0]:[2,0]:
[1,1]:[0,2]:[1,0]:[2,0]:[2,0]:[2,0]:[1,1]:[0,1]:[0,2]:[1,0]:[1,2]:[0,1]:
[0,2]:[1,0]:[1,2]:[1,2]:[1,1]:[0,1]:[1,1]:[1,2]:[1,2]:[1,1]:[1,1]:[0,1]:
[0,2]:[0,2]:[1,0]:[1,1]:[0,0]:[0,1]:[1,0]:[1,0]:[0,0]:[1,1]]
[[0,1]:[1,0]:[1,2]:[0,0]:[2,2]:[0,1]:[0,2]:[1,2]:[2,1]:[1,1]:[0,2]:[0,1]:
[2,1]:[2,0]:[1,1]:[0,1]:[0,1]:[0,1]:[0,1]:[0,1]:[0,0]:[2,1]:[1,1]:[2,0]:
[0,1]:[0,0]:[0,2]:[0,2]:[1,0]:[0,0]:[1,1]:[0,2]:[2,2]:[1,0]:[2,2]:[2,0]:
[1,2]:[0,0]:[1,2]:[2,1]:[1,1]:[0,2]:[1,0]:[0,0]:[2,0]:[2,1]:[2,2]:[0,1]:
[0,1]:[0,2]:[0,1]:[2,0]:[1,0]:[0,2]:[0,2]:[0,1]:[0,2]:[2,1]:[2,0]:[2,1]:
[0,1]:[0,0]:[2,2]:[0,2]:[1,0]:[0,0]:[2,1]:[2,2]:[0,2]:[2,2]:[2,0]:[1,0]:
[1,2]:[1,1]:[0,1]:[1,2]:[0,2]:[2,1]:[2,2]:[0,1]:[1,1]:[2,0]:[1,2]:[1,1]:
[0,0]:[1,0]:[2,1]:[2,0]:[2,1]:[0,2]:[0,0]:[0,0]:[2,2]:[0,1]]
[[1,1]:[2,2]:[0,0]:[1,1]:[0,0]:[1,0]:[1,2]:[2,0]:[1,1]:[1,0]:[0,2]:[1,0]:
[1,0]:[0,2]:[0,0]:[0,1]:[0,1]:[2,1]:[1,1]:[1,1]:[2,0]:[2,1]:[2,1]:[0,1]:
[1,1]:[1,0]:[0,2]:[1,2]:[1,2]:[2,0]:[2,0]:[2,0]:[2,0]:[1,2]:[2,2]:[2,1]:
[2,2]:[0,1]:[1,0]:[0,2]:[1,2]:[1,0]:[2,2]:[2,0]:[2,1]:[1,0]:[1,0]:[0,1]:
[1,1]:[1,2]:[0,0]:[0,2]:[1,1]:[0,0]:[0,2]:[2,1]:[0,2]:[2,2]:[1,0]:[1,0]:
[1,1]:[1,0]:[0,0]:[2,2]:[1,1]:[0,2]:[2,0]:[0,1]:[0,0]:[1,2]:[0,0]:[0,1]:
[2,2]:[2,1]:[0,0]:[0,0]:[0,1]:[2,0]:[2,2]:[1,0]:[0,0]:[1,1]:[2,1]:[1,2]:
[1,1]:[2,1]:[1,1]:[2,1]:[2,2]:[0,1]:[0,1]:[2,1]:[2,2]:[2,2]]
[[2,2]:[0,2]:[0,1]:[2,1]:[0,0]:[0,2]:[0,0]:[2,0]:[0,2]:[2,0]:[2,1]:[1,2]:
[1,2]:[2,1]:[1,1]:[1,0]:[1,0]:[1,1]:[1,2]:[1,2]:[1,2]:[2,2]:[2,2]:[1,0]:
[0,1]:[1,0]:[0,1]:[1,1]:[2,2]:[2,0]:[2,2]:[1,2]:[1,1]:[2,1]:[0,1]:[2,0]:
[1,1]:[0,0]:[0,0]:[0,1]:[2,1]:[0,2]:[2,0]:[2,2]:[2,1]:[0,0]:[0,2]:[0,1]:
[0,0]:[1,2]:[1,2]:[1,0]:[1,0]:[0,2]:[2,1]:[1,1]:[0,2]:[1,0]:[2,2]:[2,0]:
[2,1]:[0,1]:[2,2]:[2,0]:[2,0]:[2,0]:[1,2]:[0,1]:[1,0]:[0,2]:[1,1]:[2,0]:
[1,0]:[2,1]:[1,2]:[0,1]:[0,2]:[1,0]:[0,2]:[1,0]:[0,2]:[1,2]:[2,0]:[2,1]:
[1,0]:[1,1]:[1,1]:[2,1]:[2,0]:[0,0]:[0,1]:[1,0]:[2,1]:[2,1]]
[[1,0]:[0,2]:[0,1]:[2,0]:[2,2]:[2,2]:[1,0]:[0,2]:[2,2]:[0,2]:[0,2]:[1,2]:
[2,0]:[2,2]:[1,1]:[1,2]:[0,2]:[1,1]:[2,2]:[0,2]:[2,0]:[1,0]:[1,0]:[2,0]:
[0,0]:[2,2]:[2,0]:[1,0]:[2,2]:[1,2]:[1,1]:[2,0]:[0,1]:[0,2]:[0,2]:[2,2]:
[0,0]:[2,2]:[0,2]:[2,1]:[2,1]:[2,0]:[1,0]:[1,1]:[2,0]:[0,0]:[0,1]:[1,0]:
[1,0]:[1,1]:[2,2]:[1,0]:[2,2]:[0,1]:[2,0]:[2,2]:[2,2]:[1,1]:[0,2]:[0,1]:
[2,0]:[1,0]:[1,2]:[0,0]:[2,2]:[0,0]:[1,2]:[0,0]:[0,0]:[1,1]:[2,2]:[2,1]:
[2,1]:[0,1]:[2,0]:[0,1]:[0,1]:[1,1]:[1,1]:[1,0]:[0,2]:[2,2]:[2,1]:[1,2]:
[2,2]:[0,0]:[0,0]:[1,2]:[0,0]:[0,2]:[1,0]:[0,0]:[0,1]:[2,1]]

corresponding to the solution:
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mindist=75
weight enumerator=1 [0]  2480 [75]  5040 [76]  9040 [77]  14528 [78]  22920 [79]  32480 [80
]  44440 [81]  54440 [82]  65048 [83]  69128 [84]  66120 [85]  56200 [86
]  42200 [87]  25128 [88]  13440 [89]  6320 [90]  1960 [91]  480 [92]
48 [93]

```
```q=9 k=6 n=109 d=88

(using automorphisms)

code with group 4

generator matrix:
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[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:
[1,1]]
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[2,1]:[2,1]:[2,2]:[2,2]:[0,2]:[0,2]:[1,1]:[1,1]:[2,1]:[2,0]:[1,1]:[1,0]:
[0,0]]
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[1,2]:[1,2]:[2,1]:[2,2]:[1,1]:[0,1]:[1,0]:[2,2]:[0,0]:[2,2]:[0,0]:[1,2]:
[2,0]:[2,1]:[0,2]:[2,1]:[1,0]:[2,1]:[0,0]:[0,1]:[2,1]:[2,2]:[0,2]:[2,1]:
[1,1]:[0,0]:[1,1]:[1,2]:[0,1]:[1,1]:[2,2]:[1,0]:[2,0]:[2,1]:[0,0]:[1,0]:
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[1,0]:[1,1]:[0,1]:[2,0]:[0,2]:[1,2]:[0,2]:[1,2]:[2,2]:[0,0]:[0,1]:[1,1]:
[2,2]]
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[0,2]:[2,1]:[2,1]:[1,2]:[2,2]:[1,1]:[2,2]:[2,2]:[2,1]:[1,1]:[1,0]:[2,0]:
[1,2]:[2,1]:[2,2]:[2,1]:[1,0]:[1,0]:[2,0]:[2,0]:[1,2]:[0,2]:[2,2]:[1,2]:
[2,2]]
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[0,0]:[2,1]:[1,2]:[0,2]:[2,1]:[1,1]:[0,1]:[0,1]:[2,1]:[1,2]:[2,0]:[2,0]:
[2,2]:[0,1]:[2,2]:[1,2]:[2,1]:[2,1]:[0,2]:[0,1]:[2,0]:[0,1]:[2,0]:[2,1]:
[2,1]:[0,1]:[1,1]:[0,2]:[2,0]:[0,2]:[2,2]:[1,0]:[2,2]:[1,0]:[1,1]:[2,2]:
[1,2]:[2,1]:[2,1]:[0,2]:[1,2]:[0,2]:[1,2]:[0,1]:[0,2]:[0,2]:[0,1]:[1,1]:
[0,0]:[0,2]:[0,2]:[1,1]:[2,1]:[1,0]:[1,1]:[2,0]:[1,0]:[0,1]:[0,2]:[1,2]:
[2,2]:[1,2]:[0,2]:[1,0]:[2,0]:[1,1]:[0,0]:[0,1]:[1,0]:[0,1]:[2,0]:[2,0]:
[1,0]:[0,2]:[0,2]:[2,2]:[2,0]:[2,0]:[2,1]:[0,1]:[1,2]:[1,1]:[0,1]:[2,0]:
[0,2]:[1,2]:[1,0]:[0,2]:[1,1]:[1,0]:[2,1]:[2,0]:[1,1]:[2,0]:[2,1]:[2,2]:
[2,1]]
[[1,1]:[0,0]:[0,1]:[0,0]:[1,0]:[2,0]:[1,2]:[1,0]:[2,2]:[1,1]:[2,2]:[2,1]:
[1,1]:[2,1]:[1,2]:[1,1]:[2,1]:[0,1]:[2,2]:[0,0]:[1,0]:[1,0]:[0,0]:[1,0]:
[2,0]:[1,1]:[2,1]:[2,1]:[1,0]:[2,0]:[0,1]:[1,2]:[1,1]:[2,0]:[0,0]:[2,2]:
[2,0]:[1,2]:[1,2]:[2,2]:[0,0]:[1,1]:[1,1]:[2,2]:[2,1]:[0,2]:[0,1]:[0,0]:
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[1,1]:[0,2]:[2,2]:[0,1]:[1,1]:[0,0]:[2,2]:[1,1]:[0,1]:[0,0]:[2,0]:[2,0]:
[1,2]:[0,1]:[1,2]:[0,0]:[2,0]:[1,1]:[1,1]:[2,1]:[1,0]:[2,0]:[1,0]:[1,1]:
[0,1]:[2,0]:[2,0]:[1,1]:[1,2]:[0,1]:[1,0]:[0,2]:[0,0]:[0,0]:[2,1]:[0,2]:
[0,1]]

corresponding to the solution:
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,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1]
mindist=88
weight enumerator=1 [0]  3296 [88]  5920 [89]  8320 [90]  14360 [91]  21640 [92]  30680 [93
]  37960 [94]  45800 [95]  62640 [96]  64480 [97]  65400 [98]  56128 [99
]  45040 [100]  29520 [101]  21840 [102]  10808 [103]  5480 [104]  1040
[105]  960 [106]  120 [107]  8 [108]

```
```q=9 k=6 n=116 d=94

(using automorphisms)

code with group 112

generator matrix:
[[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]:[1,1]:[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]:[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]:[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]:[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]:
[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]:[1,1]:[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]]
[[0,2]:[1,2]:[2,0]:[2,1]:[2,2]:[1,1]:[0,0]:[1,2]:[2,2]:[2,2]:[0,0]:[0,0]:
[0,2]:[2,0]:[2,2]:[1,1]:[0,2]:[2,1]:[2,2]:[2,2]:[0,1]:[1,2]:[2,0]:[2,1]:
[2,2]:[0,0]:[0,0]:[0,1]:[1,2]:[2,2]:[0,1]:[1,0]:[1,0]:[1,2]:[2,2]:[0,0]:
[0,1]:[1,0]:[2,1]:[2,2]:[0,1]:[2,0]:[2,1]:[2,2]:[2,2]:[0,0]:[0,1]:[1,2]:
[2,1]:[2,2]:[0,1]:[1,1]:[1,1]:[1,2]:[2,1]:[1,1]:[1,1]:[1,2]:[2,0]:[2,1]:
[0,1]:[0,1]:[0,2]:[1,1]:[2,1]:[0,2]:[0,2]:[1,2]:[2,0]:[2,1]:[1,1]:[1,0]:
[1,1]:[1,1]:[2,1]:[0,0]:[0,0]:[0,1]:[1,1]:[2,1]:[0,1]:[1,2]:[1,2]:[2,0]:
[2,0]:[0,1]:[1,0]:[1,1]:[1,2]:[2,0]:[0,0]:[0,2]:[1,0]:[1,2]:[2,0]:[0,2]:
[1,0]:[1,0]:[1,1]:[2,0]:[1,1]:[0,2]:[0,2]:[1,2]:[1,2]:[0,0]:[0,1]:[0,1]:
[1,2]:[1,2]:[0,0]:[0,1]:[0,2]:[0,2]:[1,1]:[0,2]]
[[0,0]:[0,1]:[2,1]:[1,1]:[2,2]:[0,0]:[0,2]:[0,0]:[1,1]:[2,2]:[0,0]:[1,0]:
[1,2]:[0,1]:[2,2]:[2,0]:[0,1]:[2,1]:[1,2]:[2,1]:[0,0]:[2,1]:[0,1]:[2,1]:
[2,0]:[0,2]:[2,1]:[2,1]:[2,0]:[2,0]:[1,1]:[1,0]:[1,0]:[2,1]:[1,2]:[0,0]:
[2,2]:[0,0]:[2,1]:[1,1]:[2,2]:[2,2]:[0,2]:[0,2]:[1,0]:[0,0]:[0,1]:[2,0]:
[0,0]:[0,2]:[2,2]:[0,2]:[1,0]:[1,2]:[2,2]:[0,2]:[2,0]:[1,2]:[1,2]:[1,0]:
[0,0]:[1,0]:[0,0]:[2,2]:[1,0]:[0,1]:[0,1]:[0,2]:[2,0]:[1,0]:[0,2]:[1,1]:
[0,1]:[1,2]:[0,1]:[1,1]:[1,0]:[1,1]:[1,0]:[0,0]:[1,0]:[0,0]:[2,1]:[0,0]:
[1,2]:[0,2]:[2,1]:[2,2]:[0,0]:[1,2]:[1,1]:[0,2]:[0,1]:[1,2]:[1,1]:[0,2]:
[2,0]:[2,1]:[0,1]:[0,1]:[1,0]:[2,1]:[2,2]:[2,1]:[2,2]:[0,1]:[2,1]:[2,2]:
[1,0]:[2,0]:[0,1]:[2,1]:[0,0]:[1,0]:[0,2]:[1,0]]
[[1,2]:[1,0]:[0,0]:[2,0]:[0,1]:[0,2]:[2,2]:[2,2]:[1,2]:[2,1]:[1,0]:[1,1]:
[0,0]:[2,2]:[2,0]:[2,0]:[2,2]:[1,2]:[0,0]:[1,2]:[1,0]:[1,0]:[2,0]:[2,0]:
[2,1]:[1,2]:[0,0]:[1,1]:[2,1]:[0,0]:[2,0]:[0,0]:[1,2]:[1,1]:[2,2]:[1,1]:
[0,2]:[2,1]:[2,2]:[1,1]:[0,1]:[2,2]:[1,2]:[2,2]:[0,0]:[2,0]:[1,1]:[2,0]:
[0,2]:[1,2]:[2,2]:[2,2]:[1,2]:[2,0]:[0,1]:[2,0]:[0,2]:[0,0]:[1,0]:[2,2]:
[1,1]:[0,0]:[0,2]:[2,1]:[2,2]:[1,1]:[1,2]:[0,1]:[1,2]:[2,0]:[0,1]:[2,1]:
[0,0]:[0,0]:[2,2]:[2,0]:[1,1]:[0,2]:[2,0]:[1,0]:[0,0]:[1,0]:[0,1]:[0,0]:
[1,2]:[1,1]:[2,2]:[1,1]:[1,2]:[0,0]:[0,1]:[0,1]:[0,2]:[1,1]:[1,2]:[1,2]:
[2,1]:[2,2]:[2,2]:[0,0]:[0,2]:[1,2]:[2,1]:[0,0]:[1,2]:[1,2]:[2,2]:[2,2]:
[0,1]:[0,1]:[2,2]:[1,2]:[0,0]:[1,1]:[2,1]:[2,0]]
[[1,2]:[0,1]:[2,1]:[0,0]:[1,1]:[2,0]:[2,2]:[0,2]:[1,2]:[1,0]:[1,0]:[0,1]:
[1,2]:[0,2]:[0,0]:[2,1]:[1,0]:[0,2]:[0,2]:[1,1]:[2,1]:[2,2]:[0,2]:[1,1]:
[0,1]:[1,2]:[0,2]:[2,0]:[0,0]:[1,1]:[2,0]:[2,2]:[2,0]:[2,1]:[2,2]:[1,2]:
[1,1]:[0,0]:[0,0]:[0,2]:[1,1]:[2,0]:[1,0]:[0,0]:[0,0]:[2,0]:[2,0]:[2,1]:
[0,0]:[1,2]:[2,0]:[1,0]:[2,1]:[2,1]:[1,0]:[2,0]:[1,0]:[1,0]:[2,2]:[2,1]:
[0,2]:[1,1]:[2,0]:[2,0]:[0,0]:[0,1]:[1,1]:[1,0]:[2,1]:[2,1]:[0,1]:[2,2]:
[2,1]:[0,0]:[0,1]:[1,1]:[2,2]:[2,2]:[1,1]:[2,1]:[2,2]:[0,2]:[2,1]:[1,0]:
[2,1]:[1,2]:[0,1]:[2,0]:[0,2]:[1,1]:[0,2]:[1,1]:[2,0]:[2,2]:[0,1]:[2,2]:
[1,2]:[0,2]:[1,2]:[2,2]:[1,0]:[2,0]:[0,0]:[0,0]:[1,0]:[0,2]:[0,0]:[1,0]:
[2,1]:[2,0]:[1,2]:[1,2]:[2,1]:[2,2]:[1,0]:[0,1]]
[[0,2]:[1,0]:[1,1]:[0,2]:[1,1]:[1,0]:[0,0]:[1,1]:[0,0]:[0,1]:[2,0]:[2,2]:
[0,1]:[2,1]:[2,1]:[2,1]:[1,2]:[0,0]:[0,2]:[0,0]:[2,0]:[0,0]:[0,2]:[2,1]:
[2,2]:[1,1]:[0,2]:[1,0]:[2,0]:[0,2]:[2,0]:[0,1]:[1,1]:[2,2]:[2,2]:[2,2]:
[2,2]:[0,1]:[2,0]:[1,2]:[1,2]:[2,1]:[1,2]:[0,2]:[2,0]:[2,2]:[2,2]:[0,2]:
[2,1]:[1,0]:[2,0]:[1,0]:[1,1]:[2,2]:[2,2]:[0,0]:[2,1]:[1,0]:[0,2]:[2,0]:
[2,2]:[1,0]:[0,0]:[2,1]:[0,1]:[0,1]:[1,1]:[2,0]:[1,2]:[1,0]:[0,0]:[0,0]:
[2,2]:[1,2]:[0,2]:[1,2]:[1,1]:[0,0]:[1,2]:[0,2]:[2,1]:[0,2]:[0,2]:[1,0]:
[1,0]:[2,0]:[1,1]:[2,1]:[0,0]:[2,2]:[0,2]:[0,0]:[1,2]:[1,1]:[2,0]:[2,1]:
[1,1]:[0,1]:[1,1]:[2,1]:[1,2]:[1,0]:[1,2]:[0,0]:[0,2]:[1,0]:[2,2]:[0,1]:
[0,2]:[2,1]:[0,1]:[0,2]:[1,0]:[2,2]:[2,1]:[1,1]]

corresponding to the solution:
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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
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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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
,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]
mindist=94
weight enumerator=1 [0]  1920 [94]  5840 [95]  9280 [96]  14920 [97]  20760 [98]  25800 [99
]  39920 [100]  46592 [101]  54640 [102]  59880 [103]  60160 [104]  58768
[105]  47432 [106]  36400 [107]  24080 [108]  15040 [109]  5720 [110]
3008 [111]  960 [112]  280 [113]  40 [114]

```
```q=9 k=6 n=130 d=106

(using automorphisms)

code with group 112

generator matrix:
[[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[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]:
[1,1]:[1,1]:[1,1]:[1,1]:[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]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[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]:[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]:[1,1]:[0,0]:
[1,1]:[1,1]:[1,1]:[1,1]:[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]:[1,1]:[0,0]:[0,0]:[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]:[1,0]:[2,0]:[2,2]:[1,1]:[0,0]:[1,1]:[2,2]:[2,2]:[1,1]:[0,0]:
[1,2]:[1,2]:[2,2]:[1,1]:[0,1]:[1,1]:[2,2]:[2,2]:[1,1]:[2,0]:[2,1]:[2,1]:
[2,2]:[0,1]:[0,2]:[1,1]:[2,1]:[2,2]:[0,0]:[0,2]:[1,1]:[1,1]:[2,2]:[1,0]:
[1,0]:[1,2]:[1,2]:[2,2]:[1,1]:[0,0]:[0,2]:[0,2]:[2,2]:[0,0]:[0,1]:[0,2]:
[2,0]:[2,2]:[1,0]:[1,2]:[2,1]:[2,2]:[2,2]:[0,1]:[0,1]:[1,1]:[2,1]:[2,2]:
[1,0]:[1,0]:[2,0]:[2,0]:[2,1]:[1,0]:[1,1]:[2,0]:[2,0]:[2,1]:[0,1]:[2,0]:
[2,0]:[2,1]:[2,1]:[0,0]:[1,2]:[1,2]:[2,0]:[2,1]:[1,1]:[0,0]:[1,2]:[2,1]:
[2,1]:[0,0]:[0,0]:[0,1]:[1,1]:[2,1]:[0,1]:[1,0]:[1,1]:[1,2]:[2,1]:[1,1]:
[0,2]:[1,1]:[1,2]:[2,1]:[1,1]:[0,2]:[1,1]:[2,0]:[2,0]:[1,1]:[1,1]:[1,2]:
[2,0]:[2,0]:[0,1]:[1,0]:[1,0]:[1,1]:[2,0]:[1,1]:[1,1]:[0,0]:[1,1]:[1,2]:
[1,1]:[0,1]:[0,2]:[1,0]:[1,1]:[1,1]:[1,1]:[0,0]:[0,2]:[1,0]]
[[1,1]:[1,1]:[0,1]:[2,1]:[2,2]:[0,2]:[1,2]:[0,1]:[1,1]:[2,2]:[2,2]:[1,1]:
[0,0]:[2,0]:[2,1]:[2,2]:[0,0]:[1,2]:[0,0]:[2,1]:[2,0]:[0,0]:[1,2]:[1,2]:
[2,1]:[2,1]:[2,1]:[1,0]:[1,0]:[2,0]:[2,1]:[2,2]:[0,2]:[2,1]:[1,2]:[0,1]:
[0,2]:[1,2]:[2,1]:[1,1]:[0,2]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[0,1]:[0,1]:
[0,1]:[0,1]:[2,0]:[1,1]:[2,1]:[0,0]:[0,0]:[2,2]:[2,2]:[2,1]:[2,0]:[0,0]:
[1,1]:[1,2]:[0,1]:[1,0]:[2,2]:[2,1]:[0,1]:[0,0]:[0,1]:[2,0]:[0,0]:[1,2]:
[2,2]:[0,0]:[1,2]:[1,2]:[0,0]:[0,1]:[1,2]:[1,1]:[0,0]:[1,1]:[0,1]:[0,2]:
[1,0]:[1,1]:[1,0]:[1,2]:[1,1]:[0,2]:[1,2]:[1,0]:[0,1]:[1,2]:[0,2]:[0,0]:
[1,0]:[2,1]:[2,0]:[0,1]:[0,2]:[0,0]:[1,0]:[1,2]:[2,1]:[0,1]:[0,2]:[2,1]:
[2,0]:[2,1]:[0,0]:[0,1]:[2,0]:[0,0]:[2,0]:[0,1]:[2,2]:[1,1]:[1,0]:[1,1]:
[1,0]:[2,2]:[1,2]:[1,2]:[0,2]:[1,0]:[2,1]:[1,0]:[2,2]:[2,0]]
[[0,1]:[1,1]:[2,1]:[2,2]:[2,1]:[0,0]:[1,0]:[0,1]:[2,1]:[1,1]:[1,1]:[0,2]:
[2,0]:[0,1]:[1,2]:[2,0]:[1,2]:[0,2]:[2,0]:[0,2]:[0,1]:[0,1]:[0,0]:[2,0]:
[0,0]:[0,1]:[1,2]:[2,1]:[0,0]:[0,1]:[1,0]:[2,0]:[2,2]:[1,0]:[2,1]:[1,0]:
[1,2]:[2,0]:[1,1]:[1,0]:[1,2]:[2,2]:[1,1]:[0,2]:[2,1]:[0,1]:[0,1]:[2,1]:
[1,1]:[1,1]:[2,1]:[0,1]:[2,1]:[0,0]:[2,2]:[1,0]:[1,1]:[1,0]:[2,1]:[0,2]:
[0,1]:[1,0]:[1,0]:[2,0]:[2,0]:[1,0]:[0,2]:[0,2]:[2,2]:[2,2]:[0,0]:[1,0]:
[2,1]:[1,2]:[0,2]:[0,2]:[0,0]:[2,1]:[1,2]:[2,0]:[0,1]:[2,2]:[2,1]:[2,2]:
[2,1]:[1,2]:[1,0]:[0,1]:[0,1]:[2,2]:[0,2]:[2,0]:[0,1]:[0,0]:[0,1]:[2,2]:
[2,2]:[1,0]:[1,2]:[0,0]:[1,0]:[2,0]:[2,2]:[2,1]:[2,1]:[2,1]:[0,2]:[2,2]:
[1,0]:[1,0]:[0,0]:[0,1]:[0,2]:[2,2]:[2,1]:[0,0]:[2,2]:[0,2]:[2,2]:[0,1]:
[1,0]:[0,0]:[2,1]:[1,1]:[0,2]:[0,2]:[1,1]:[2,2]:[1,1]:[2,1]]
[[2,1]:[0,2]:[0,0]:[1,1]:[2,1]:[0,2]:[2,1]:[2,0]:[2,2]:[2,2]:[2,1]:[2,1]:
[0,2]:[0,2]:[0,0]:[1,0]:[2,1]:[2,1]:[1,1]:[0,0]:[0,1]:[2,1]:[2,0]:[0,2]:
[1,1]:[0,0]:[0,2]:[0,0]:[2,0]:[0,1]:[1,2]:[2,2]:[0,1]:[0,2]:[0,2]:[0,2]:
[0,0]:[2,0]:[0,2]:[2,0]:[0,1]:[1,2]:[2,0]:[0,1]:[2,0]:[1,0]:[1,0]:[1,1]:
[1,2]:[1,2]:[0,2]:[0,1]:[0,2]:[2,1]:[1,2]:[0,1]:[0,2]:[0,0]:[1,0]:[0,1]:
[2,2]:[2,0]:[2,1]:[0,0]:[2,0]:[2,1]:[0,0]:[1,1]:[0,1]:[2,1]:[2,0]:[0,0]:
[1,1]:[0,2]:[2,2]:[0,1]:[1,1]:[1,1]:[1,2]:[2,1]:[2,1]:[0,2]:[1,0]:[2,1]:
[2,1]:[1,2]:[0,0]:[1,0]:[0,1]:[1,0]:[0,2]:[0,0]:[0,1]:[1,2]:[2,1]:[1,1]:
[1,0]:[0,1]:[2,2]:[1,0]:[0,0]:[0,2]:[0,0]:[2,2]:[1,1]:[1,1]:[0,2]:[1,0]:
[2,2]:[2,0]:[2,2]:[1,0]:[1,2]:[0,2]:[2,2]:[0,2]:[0,0]:[1,2]:[0,0]:[1,1]:
[1,0]:[2,1]:[2,0]:[0,1]:[0,0]:[0,1]:[2,2]:[2,0]:[0,1]:[2,1]]
[[0,2]:[2,0]:[1,2]:[0,2]:[2,0]:[1,2]:[0,2]:[1,2]:[0,0]:[1,2]:[2,2]:[0,0]:
[1,2]:[0,1]:[2,0]:[1,0]:[0,2]:[2,1]:[1,0]:[2,0]:[2,2]:[0,0]:[2,0]:[2,0]:
[1,0]:[1,1]:[0,0]:[2,0]:[1,1]:[0,2]:[2,0]:[0,0]:[0,1]:[2,1]:[2,0]:[2,2]:
[1,0]:[0,2]:[2,2]:[0,2]:[1,2]:[2,2]:[2,0]:[2,1]:[2,0]:[1,2]:[0,2]:[1,1]:
[2,2]:[0,2]:[2,1]:[0,2]:[0,2]:[0,1]:[1,1]:[2,0]:[0,2]:[1,0]:[0,1]:[0,1]:
[2,1]:[1,1]:[2,2]:[0,0]:[2,1]:[0,2]:[0,2]:[2,0]:[1,2]:[1,1]:[0,2]:[1,1]:
[0,2]:[2,0]:[2,2]:[2,0]:[1,0]:[0,2]:[2,1]:[1,2]:[2,2]:[2,0]:[2,1]:[1,1]:
[0,0]:[0,2]:[1,2]:[1,0]:[1,0]:[1,1]:[0,0]:[2,1]:[0,0]:[0,2]:[1,2]:[1,2]:
[2,1]:[1,1]:[1,2]:[0,2]:[2,2]:[0,0]:[1,0]:[2,1]:[1,1]:[2,2]:[2,2]:[1,1]:
[0,2]:[0,1]:[1,0]:[1,2]:[1,1]:[2,1]:[2,2]:[0,0]:[2,1]:[0,0]:[0,1]:[2,0]:
[1,1]:[1,2]:[0,1]:[0,1]:[2,0]:[1,0]:[0,1]:[1,1]:[1,2]:[1,1]]

corresponding to the solution:
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mindist=106
weight enumerator=1 [0]  2160 [106]  5600 [107]  8400 [108]  12840 [109]  18216 [110]  25280
[111]  35200 [112]  42480 [113]  47720 [114]  55584 [115]  57880 [116
]  55720 [117]  50880 [118]  41160 [119]  29952 [120]  21120 [121]  12000
[122]  5880 [123]  2320 [124]  648 [125]  360 [126]  40 [127]

```

University of Bayreuth -