´

# new linear codes from 130109

• binary: 2 improvements + 2 derived
• ternary: 7 improvements + 11 derived
• q=4:
• q=5: 1 improvement + 3 derived
• q=7:
• q=8:
• q=9:

## binary q=2

```q=2 k=13 n=151 d=66
(using automorphisms)

code with group 126576

generator matrix:
0000011111111110000000111111110000011111111110000000001111110000000001111110000000000011110000000001111110000000001111110000000111111110000000000011110
0000100011111110000011000011110011100000111110000111110001110000111110001110000000111100110000001110000010000001110001110001111000000110000011111100000
0000000100000110001101011101110000100011000010011000110010110000111110001110001111001111110011110010001110001110010111110110011000011000011100111100111
0011100100001000110111000101110101000001001110100011110110110011011110110110010111111101010100010110001101110010101010001001101001111110100101000001011
0100111100111010110100111001110001000111000111000111001111010111101110110010100011110100000001110000010110010110011010011000100011101001011101001110101
0001001000010001110000101110111011111110011110100000000010011101111110111011010000011010010111101011111110010111101011100000011100110011101100011110011
0011000011110001010110110011110010111000000110001001111000100111100111111001101011011100110100010110001100110010011100110000011011001100000110010100110
0010110111100001010001111011010100011001110111001101000011010000001000110101100001000101101010100000100000001000101100100110011000011001100111001100111
0110010100100100100010101001101001001110000011011111110010011010001011010001111001110111001000011010110000001101010101111110001001100000011101011011110
0101011101011001010010000101100001111001001111000110011100110101001101111001100111010111011000111111100000101111111100011010001111101110110000001011010
0001101111101000010100100011011101101011001001110000011101011101001000000000100011001000110010110101101100001101011010001101010000010100111010000010010
0111011111100011101000100010010101101000100010101000100110101111111001011001100010111110111001001111110111101010111100000110100111111100110101100000010
1101111110010011111010000110100010100101001100111100000010010110110111100111000001001001000010010000111100010000111010100000100100101001001011111000100
corresponding to the solution:
[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1]
mindist=66
weight enumerator=1 [0]  770 [66]  870 [68]  560 [70]  150 [72]  1755 [74]  1281 [76]  495
[78]  105 [80]  1220 [82]  620 [84]  210 [86]  95 [90]  45 [92]  15 [94
]
```
```q=2 k=13 n=160 d=72
(using automorphisms)

code with group 126576

generator matrix:
0000011111111110111100000001111111100000111111111100000111111111100000001111111100000000011111100000111111111100000111111111100000111111111100000000011111101111
0000100011111110001100000110000111100111000000011100111000000011100011110011111100001111100011111111000001111100111000001111111111000000011100001111100000100011
0000000100000110001100011010111011111011000011101100001000111100100000111100001100001111100011100111011110011101000000010001100011000011101100000001100111011100
0011100100001000010101101110001011101000001100111100011000000100101111110100011100010000111100100000100110000110111000100010001101011101110001110010100001110101
0100111100111010100101101001110011111101011101101111100001001011110101011011110100110001000111011001001011101011001001000001110100101111100110001100100110111001
0001001000010000101011100001011101110110010011101101010010010101010110101000001011110010111111100011100100110010111111011101100001000100100000110111001011111010
0011000011110000010110101101100111101111000110010100000110010010011101001101111001000101101001000110110101101011011001010111111011110101011011111011111100101010
0010110111100000001110100011110110101001101101011110110011011110100101000100110101110100110001111001010010010011111011000000110111111001111001011101111001011100
0110010100100100010101000101010011011110010100101001100101010101101111110100011100111001000001101111111110110111011001010111100110011000011000001010000100101010
0101011101011001000110100100001011011010001100000101110000001001110010101110000000010011101110111001000001110001111010100110010100100110011110010010000011110010
0001101111101000101000101001000110110100110000110000110001010010101111111011100010001001101101110001001101000101010011110100110100010000000111001000110100000101
0111011111100011100011010001000100110010110101110000000100001001101010101000110000100101010011001010111100001101000110100101000100010110110010100100101111010100
1101111110010011111011110100001101001000011101001000111010011000000000011000011011110110010111000001100001101110010001110000101111111001010100100110010001111101
corresponding to the solution:
[1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=72
weight enumerator=1 [0]  2340 [72]  3666 [80]  2020 [88]  165 [96]
```

## ternary q=3

```q=3 k=8 n=95 d=57
(using automorphisms)

code with group 603

generator matrix:
00000000000000011110000111100001111000011110000111100001111111111111111111111111111111111111111
00000000000111100001111000011110000111100001111000011110000111111111111111111111111222222222222
00000011111112200000000112211221122112211221122112211221122000011220000112211112222000011112222
00111100002000011221122000022112211221122111122112211221122112200001122000011112222000011112222
11112211220000012121212121212120000121212121212121212121212000012120000121200120012000000120012
12121212120121200001221122100001212211212211221122121122112121200001212000012001200000012001200
00212100000212112210000122121120000211221120000211212211221212100001212211200120021001212121221
00000022110122121211212000000001221212112122121000021212121000021212112121212002100120021121212
corresponding to the solution:
[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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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]
mindist=57
weight enumerator=1 [0]  1130 [57]  1350 [60]  1552 [63]  1184 [66]  936 [69]  328 [72]
80 [75]
```
```q=3 k=8 n=109 d=66
(using automorphisms)

code with group 123805

generator matrix:
0000000011111111111111111111111111111111111111111111111111111111111111111100000000000000000000000000000000000
0000111100111112011122220112222201111222001111220001222201111222200111122100001111011111110000111111001111111
0001012201002222101111222220001210122222010111021220122220222112002122200011111222101222220111002202110001120
0112212200111112102212121120111222001002010002022011001111001010200111122101122122022000121122120111121220101
0112212212120022220002020112222221212011100122110110120102020021220202212110212212011111111002002211020122221
0222022202000212020222121112010000212212101012001000212000011020210221221111112000022011211200122010212210111
0010120122221020200002210120020101101002000100122111100021100010120121202211221110200012102010012012212201022
1100102212112101111000122222012101201101010120200110120121200022000021210000001111002210211122120111010020110
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,1,0]
mindist=66
weight enumerator=1 [0]  1158 [66]  1320 [69]  1240 [72]  1266 [75]  1052 [78]  364 [81]
144 [84]  16 [87]
```
```q=3 k=8 n=121 d=73
(using automorphisms)

code with group 986

generator matrix:
0000111110011111110001111110011111110001111110011111110011111110000111110111111110000111110000111111111111110000011111001
0011001120101112221110111221100000121110012221100122221100011120111011220001222220111000220111011220001111220111111111011
0112220121220120120120111220100012020110110120001001120201112221022211011001000111112002111012112011220111011011201121000
0110012120202220121120002221011101022012020110111120010110210112101202020001222110021122012010112200121012201002021120000
0102222202121122121010111022111211110212102012122221110020002102112121220020000122001202221111111110201200000011221200000
0101221100120122021111010101112000211221112221212020100211011200110121021022002122210222002001120121020021211222002012121
0000000002221121111212111220000000001221112220000000001221112112222122221112122212121212220000000000000000002122112121212
1221111120000000001212111222111122112112221112122122120000000000000000001112122212121212221221112111211222220000000002121
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
,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]
mindist=73
weight enumerator=1 [0]  348 [73]  504 [74]  300 [75]  542 [76]  450 [77]  378 [78]  468
[79]  414 [80]  456 [81]  294 [82]  486 [83]  240 [84]  386 [85]  360
[86]  162 [87]  288 [88]  126 [89]  144 [90]  78 [91]  90 [92]  18 [93
]  26 [94]  2 [108]
```
```q=3 k=9 n=140 d=84
(using automorphisms)

code with group 58821

generator matrix:
00011111111111110000011111111111000111111111111100000111111111110111111100011111111111110000001111111111000000111111111111000001111111111101
00100000111222220011100011111222001000001112222200111000112222221011222201100000001122220011110022222222001111000001112202011110000111222211
01001122122001220002200100122122010011221220012201012112220011222002000210011111121201221100221200011122010122001121220111022220022012000101
00121202101001020122200222202212001122221120210200022001020122221200122211200001120102021222122001211200101100010211020200101120112110111000
01212120211220121100202000110012122112110101220202020122111012022200001210001221110110102101022202111212101222220202221122120121022020022202
02200201200022100011200102112010121201020120022111221010220120210020100100112121201100202202212200112200122000000120201111122221110021011001
00102102212120011102011000221222021120200111010212110011112112121000212000022110101211020100120121002122122112122202101022112111000112100102
02201212101021021011122220220212011212200111102000110002012020010021210121222111222020221220200202101121110201212010210102021020221202101011
11202002201121102211122200121020200121211001101112121020010201000210121211100021200221022212210020101110020000112110002112101011120112021120
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]
mindist=84
weight enumerator=1 [0]  1664 [84]  2696 [87]  3376 [90]  3608 [93]  3456 [96]  2756 [99
]  1544 [102]  544 [105]  32 [108]  4 [111]  2 [120]
```
```q=3 k=9 n=154 d=93
(using automorphisms)

code with group 58821

generator matrix:
0001111111111111000111111111111100011111111111110000011111111111000000111111111100000000111111110000001111111111000000111111111100111111111111110000111111
0010000011122222000000011111222211100111111222220001100111122222001111000111122200111111000112220011110000011122001111000111122201000000011111120011011202
0100112212200122001000200022122200102112222000221110101111200122011122012000101211001222012011121101220011200222110012022001102211001112200111220000111111
0012120210100102012012200200102211000110222002020021021022000212102211011012210101222002211120111222120212002101010120112002200111220120101022110112101100
0121212021122012022002001111210201211120022121220000201101202201200112112222110202121111101221121201222022212021222201221011102112011122102201001012112122
0220020120002210110022112212212120111021012212120220111110201121020122211120122110001022010221202022012211111112210101121011212221220012102221020221010011
0010210221212001022011220100011221210000110022220022110222201012001020210121102110102021201221200101200012122201221202012220010022122212221021011200011022
0220121210102102020212001112220222120000010101020211002000001101002001120122121112020002001111220201222022202210001202210121111021221012122200112220020202
1120200220112110001011100111221111010022111112122000212211212021112111100001020220000002001220102200110022122012001111111210212111202122022202012122011112
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
,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]
mindist=93
weight enumerator=1 [0]  1544 [93]  2674 [96]  3408 [99]  3280 [102]  3684 [105]  2384 [108
]  1728 [111]  752 [114]  224 [117]  4 [126]
```
```q=3 k=8 n=178 d=111
(using automorphisms)

code with group 1319

generator matrix:
0000011111111111000011111111111111000111111111111100011111111111110001111100000111111111110001111111111111000001111111111100000111111111110000001111111111001111110000011111111111
0001100011222222001100000111112202001000111111122201100001111122220111122200011111112222220010001111111222011110000000012200111000011122220111110111112222110011220011100000001112
0110101202011222111100122001121222012002001111201212211220022201221011100211122001220001220000120111122012011120111122211101012000112211111000020011110001020112110011200111220000
0011200112001001020102101121221212012111000011110210102121211220220220022202202021010000111100100111200000102221011201100210110011020100011011220111220221001001011101101012120110
0210022020100011002021000201112221001120122200220122000202122222002220201000101122000121002211202122011210020222001110221212120102212000221102121012122021211102200110001120221000
0010212201222002121012111021100202101202220202012101000110112211122010110020121001200111020200000200202100001010110201122100212101101100121202101002220111112010212211202120110112
0120101012212200101202202122101220201122021222200012102000201101000010201220220221010220101211000202000110200220012221201000101221000212222100121021010221110201121210100001121120
1220020002220111221100202221011102201101110202012211111211020112222010110002111222201222202121210222000210001211102200122011121120120000201022211220010202111122001202002221001201
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0]
mindist=111
weight enumerator=1 [0]  1136 [111]  1492 [114]  852 [117]  864 [120]  992 [123]  648 [126
]  320 [129]  192 [132]  32 [135]  32 [138]
```
```q=3 k=8 n=182 d=114
(using automorphisms)

code with group 1009

generator matrix:
00011111111111110001111111111111000000111111111100000001111111111100000011111111110000001111111111000000111111111101110000001111111111000000000111111100000011111111110000000001111111
01100000011222221110001111122222011111001111222200001110011222221200111100001112220011110000012222001111001111222210120111110011112222000111111000112200001100000111120000111110001122
10100112212000220111220011200112101112010222001201111110102000120200011100110020121100220111221122110012120122111202221122222200221112111011222001001200010200011011210111011221110211
21212010202122122000010201012012110020012122012200110221012001220201211201000100020000022112201211221211120202011101112101221102001110002000112021220000111000101100221122202020020101
20120121002011012010011110210022020120200200020211021020021001022212011000002010020022210220000100220100200202200022101102221110121220121111122020111011021122101011121122121211100120
12022010020212022001001101020110221120020101211010201101020021210122022110222112120200002010010211011022100001212122102122110202010021120101012012022100100001212001220001212201220102
00212000202002201002020002100220211201220001210021020200121010102200112110112100202112002021001011112012022102001011202210122222101022212001200221120012112020122222100020212102101022
12110000200120122121102022100000112210220202101221022000112010010021201010012001100220121020101001111220212012202011201120121020110112120010122020200212221011102201011002101210220020
corresponding to the solution:
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0]
mindist=114
weight enumerator=1 [0]  1410 [114]  1072 [117]  1152 [120]  1296 [123]  432 [126]  484 [129
]  384 [132]  296 [135]  32 [138]  2 [162]
```

## q=5

```q=5 k=6 n=88 d=65
(using automorphisms)

code with group 33450

generator matrix:
0000111111110001111111111111111111110111111111110000111111111100111111111100001111111111
1111123334440110012222340000112222340001122234441111011123442411001122333311110000333303
1123021242241330400111140124010123241240302400220124212301124113131402114412240002133320
0410223321323230130134140123421001212213002110043000110013021443043142030233300444134430
3201401244113103012401104200011430432320222141444214242021210320132230032040212124232424
2430400401100232121231213201422200442344344122222233403433422034230304032322230140041041
corresponding to the solution:
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,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
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0]
mindist=65
weight enumerator=1 [0]  3504 [65]  7568 [70]  4336 [75]  216 [80]
```

## q=9

University of Bayreuth -