´

# new linear codes from 110313

## binary q=2

```q=2 k=14 n=76 d=30
(using automorphisms)

code with group 131719

generator matrix:
0000000000000000000000000000111111111111111111111111111111111111000011000011
0000000000001111111111111111000000000000000000001111111111111111001111011101
0000011111110000000000011111000000000001111111110000011111111111010001100111
0000101111110000111111101111000011111110000000110000100000001111110101011110
1111000111110111000000100001001100000010001111000001000011110011000011001100
0011100000111001000111100010010100001110110001010010101100110001010100100100
0011110011110011001001100100000101110000110110000101010001111111111001110101
0101011101000010011010011011000001110010000011111001011101010111011110001111
1111010101010110010010101101101010110001010101100100100100101010000011111001
0100000001011110000010100101101011011111000001101011111000100000001001010010
1001000011000000000010111101100110010111001100100011001001111100010001101000
0111110110000111110001110010101001111111101110001101011000001010110000011101
1110001100101011101111100100110100100111110000010010110111101101000011000011
0100011110110010101000100001100101010000000010111111110100000110111001000000
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,44,38,38,38,38,38,46,36,30,30,36,44,38,28,44,44,36,38,46,38,38
,36,38,36,30,42,46,44,44,44,42,30,34,36,34,36,46,30,44,36,36,38,36,44,36
,38,34,28,42,30,36,36,36,46,38,46,36,36,30,36,38,44,28,34,36,38,30,36,38
,38,38,36,44,38,38,38,38,44,46,36,38,46,44,38,36,44,38,36,28,36,42,44,46
,28,44,30,28,44,44,44,44,28,44,44,44,44,44,12,44]
mindist=30
weight enumerator=1 [0]  864 [30]  2574 [32]  1024 [34]  4416 [38]  5088 [40]  1024 [42]
864 [46]  528 [48]  1 [64]

```
```q=2 k=14 n=79 d=32 optimal
(using automorphisms)

code with group 131719

generator matrix:
0000110000000000000000000000000000000000001111111111111111111111111111000011000
0011110000000000000000111111111111111111110000000000000000111111111111011101000
0100010000000000011111000000000111111111110000011111111111000000011111100111011
1101010000000111100001000000011000011111110111100001111111011111100001011110101
0000110000111001101111000011111001101111111011100010111111100000100001001100011
0101000011001011110110011100101010100011111101101100000111100111100110100100110
1110011101001111110010001111000100000001110000110101001001111011011001110101011
0111100101111110110100100100011000010001111111000100010011100101101010001111101
0000110111011100111100010101010101011100011010010010101101001010100001111001101
0010011000011000011101100000101010111110110100101111010000010001000010010010110
0100010010101110000111100111010011000101010010011110101111111100110011101000000
1100000000011011010110011101100010111101111010011101001110100110011011011101000
0000110100010010010110111100001010000110111111001000000010110011001001000011000
1110010000101010111111000100011100100000110100000101000101111110100010000000101
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,1,45,39,39,39,39,39,47,37,47,47,37,45,39,45,45,45,37,39,39,47,39
,39,39,39,31,45,31,39,37,45,45,47,45,37,37,45,31,47,45,37,37,39,47,47,37
,39,37,29,37,47,37,37,37,31,31,47,39,39,31,39,39,29,29,45,37,39,39,37,39
,39,39,37,47,39,39,39,39,31,31,37,39,31,45,39,37,45,39,37,47,37,37,47,31
,29,47,47,31,47,47,47,47,29,47,47,47,47,47,15,47]
mindist=32
weight enumerator=1 [0]  1518 [32]  2944 [34]  5664 [40]  4864 [42]  1008 [48]  384 [50]
1 [64]

```
```q=2 k=15 n=80 d=32 optimal
(using automorphisms)

code with group 130363

generator matrix:
00000111111111100000000011111100000000011111100000001111111100000000000111100000
00111000001111100001111100011100000111100011100000110001111100000111111000100111
01011000110011101110001101100101111000101101100111110000000000111000111001000111
01100111010100110010001111101010011011101110011000110010001101001011111001101000
01000001111101110110110010010110101101100110011111010100000100111100001111011000
10001010000010011010011100100101001010000100111001010110111011000001001110100001
01100111100101010011010000111101000100001000000010011101111111110011010011011010
00100001100111011110000100000101100010111100111000111010010111010110101110111101
01011010001111001110010110010110011001001001001011111110010100101101110011001001
10001010100100101000100010101100101011110101101001001111001010101111101111000100
00010101011111001000110000000100101101010001000000101110110001100101011001100011
10000111011100100000110111110100011011101001010001001100011100101100011101001011
01110100111011101010010011010001110110111001110101100000000010010100110110111101
10101101000010011101011110100111000000111000000100111010111110110010101111000010
00010100110110011100000001110010001001010010111100100011101000000100001011001111
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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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
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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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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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
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]
mindist=32
weight enumerator=1 [0]  2530 [32]  5120 [34]  11328 [40]  10240 [42]  2520 [48]  1024 [50
]  5 [64]

```
```q=2 k=15 n=113 d=46
(using automorphisms)

code with group 127615

generator matrix:
00000011111111100000000000111100000111111111100000000011111100000011111111100000000011111100000000111111110001100
00111100001111100001111111001100011001111111100000001100111100111100000111100001111100001100001111011111110110011
11001100110111101110000011010100101010000011100000011100001101011100011011100010011100010111111111000000000001110
11000101111001110010000001000101000000001111100011100011000100100101100100000000100101111000110111100000110010100
11111101001001101110111111110100110000011100100101110001001000101101100000101110101000010001011011100001101010000
01011110000011110010001111001100101101111100001100110011010111001100101001100100111001110111100001100110100000000
10010001001011111100010101011010100000110111100001110110101111111111111111101001100111100101100110101000110000000
11001100011011100101110100110100101001100011001110011011100111100001000010000000010101100110100010111011011100001
10100011001010011000000111011101111011111001011100101101011100100010111010011011100010111111101111011011101010000
10011000000101111100000010010000010010100110111011010101110001001010101001110011001010110110111001101011100011010
01110011110100111111110001110101110011000000111100000011001000111111001111011001111100011000111110011010010010111
01101001011000001101100111000111010011110111010111111010101000010110110010000010111010010010011101000011100010100
01111011011111010111000111011010111110110111110011011100011000001100101110010010010011000000000110011010110111111
10001111110100110010000001111010011111101101010000101100010001000101110011010100100001110101011000001101010011001
10011011111010010101000101111010011000010010100010010101101000001100011001001111100100000001110101011111110010100
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
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,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
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,1,0]
mindist=46
weight enumerator=1 [0]  2153 [46]  1576 [48]  13120 [54]  4580 [56]  8778 [62]  1975 [64
]  520 [70]  60 [72]  5 [78]

```
```q=2 k=15 n=116 d=48
(computed using a programm of Johannes Zwanzger)
generator matrix:
00000011111111100000000000111100000111111111100000000011111100000011111111100000000011111100000000111111100011001101
00111100001111100001111111001100011001111111100000001100111100111100000111100001111100001100001111011111101100110001
11001100110111101110000011010100101010000011100000011100001101011100011011100010011100010111111111000000000011101010
11000101111001110010000001000101000000001111100011100011000100100101100100000000100101111000110111100000100101001101
11111101001001101110111111110100110000011100100101110001001000101101100000101110101000010001011011100001110100000000
01011110000011110010001111001100101101111100001100110011010111001100101001100100111001110111100001100110100000000000
10010001001011111100010101011010100000110111100001110110101111111111111111101001100111100101100110101000100000001101
11001100011011100101110100110100101001100011001110011011100111100001000010000000010101100110100010111011011000011011
10100011001010011000000111011101111011111001011100101101011100100010111010011011100010111111101111011011110100000000
10011000000101111100000010010000010010100110111011010101110001001010101001110011001010110110111001101011100110101010
01110011110100111111110001110101110011000000111100000011001000111111001111011001111100011000111110011010000101110001
01101001011000001101100111000111010011110111010111111010101000010110110010000010111010010010011101000011100101000000
01111011011111010111000111011010111110110111110011011100011000001100101110010010010011000000000110011010101111110001
10001111110100110010000001111010011111101101010000101100010001000101110011010100100001110101011000001101000110011011
10011011111010010101000101111010011000010010100010010101101000001100011001001111100100000001110101011111100101001101
mindist=48
weight enumerator=1 [0]  3729 [48]  17700 [56]  10753 [64]  580 [72]  5 [80]

```
```q=2 k=16 n=143 d=58
(using automorphisms)

code with group 2174

generator matrix:
00000000011111100001111111111100000011111111100000000000111100000000111111100000011111111100111000000001111111000000111111111000000001111111110
00011111100001100110000011111100111100000111100000000111011100001111000111100001100011111101001000001110000111001111000001111000011110001111000
00100000111110111000001101111111000100001011100011111001101100110011001000100110100100011100011000110010001011110111011110111000101110110000001
00000011000110100010000110001101001100111101111100111111010111000111011011111011111100100010100011111100010100010011100011000001000111000011001
00100101011010101011110000110110011101001110001111001010111001011111111011000101011011100101011111001101101001100111100110000011111011011101111
11101101000111111100111010000000011001010000111100011100101010011000111001011000001111101111100001110100101010101101100111001100010101101100110
01010100101011100000010010010011000001001101101100011111101111010001110100001010001101100101011101010001011111100010111000110010100110101100110
11111001011010011010110010100101010100110001010101110000011011110010001001011101110111100010011110101000011010001000101000011110100111101111111
11111010011100110100011001001111010110011001110110000111011010101100001011000001101000100100111111001000111000000000111111111101000111000101110
01101000010110100111010100101111010110010110001010100010001011110101110011110110110011000101011010011111101010011101111101011000010011011011111
11111001011010011101100011010000011110011111101001011010110000110001111100010001101100001010011111000010101001000010100101100010111100100100111
10001000101100011011111100111111011011101101011110011111011001001010100110111110010111100111100111010000101100100100110110111100101110001100111
10101101001010111001011010101100010010101110101110000000010001010000100101001101000110110000001111010011001000010110101000110100111000101111110
10101001011110110011111100000111000110000010101100111100101110101100010010111110101011001100100111111101000001101111001001101000111101010001111
11111011010000101110001101000100011001010000110110000110001110110011100101000101001010100000011010010001001000110000101011000111011000100110001
00000001110111010010001100110111100110111001011101000011111100101000101011100000010110010100010010010110011111100111110100110111010111100111110
corresponding to the solution:
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,0,0,0,0,2,0,0,1]
mindist=58
weight enumerator=1 [0]  1395 [58]  1120 [60]  3408 [62]  3015 [64]  7073 [66]  5083 [68
]  10790 [70]  6260 [72]  9600 [74]  5001 [76]  5900 [78]  2955 [80]  2250
[82]  1005 [84]  510 [86]  120 [88]  33 [90]  15 [92]  1 [98]  1 [112
]

```
```q=2 k=16 n=146 d=60
(using automorphisms)

code with group 2174

generator matrix:
00000000011111100001111111111100000011111111101100000000000111100000000111111100000011111111100111000000001111111000000111111111000000001111111110
00011111100001100110000011111100111100000111110100000000111011100001111000111100001100011111101001000001110000111001111000001111000011110001111000
00100000111110111000001101111111000100001011111100011111001101100110011001000100110100100011100011000110010001011110111011110111000101110110000101
00000011000110100010000110001101001100111101111111100111111010111000111011011111011111100100010100011111100010100010011100011000001000111000011101
00100101011010101011110000110110011101001110001001111001010111001011111111011000101011011100101011111001101101001100111100110000011111011011101011
11101101000111111100111010000000011001010000111011100011100101010011000111001011000001111101111100001110100101010101101100111001100010101101100110
01010100101011100000010010010011000001001101110101100011111101111010001110100001010001101100101011101010001011111100010111000110010100110101100110
11111001011010011010110010100101010100110001010010101110000011011110010001001011101110111100010011110101000011010001000101000011110100111101111011
11111010011100110100011001001111010110011001101110110000111011010101100001011000001101000100100111111001000111000000000111111111101000111000101110
01101000010110100111010100101111010110010110000101010100010001011110101110011110110110011000101011010011111101010011101111101011000010011011011011
11111001011010011101100011010000011110011111110001001011010110000110001111100010001101100001010011111000010101001000010100101100010111100100100011
10001000101100011011111100111111011011101101001011110011111011001001010100110111110010111100111100111010000101100100100110110111100101110001100011
10101101001010111001011010101100010010101110101101110000000010001010000100101001101000110110000001111010011001000010110101000110100111000101111110
10101001011110110011111100000111000110000010111101100111100101110101100010010111110101011001100100111111101000001101111001001101000111101010001011
11111011010000101110001101000100011001010000100110110000110001110110011100101000101001010100000011010010001001000110000101011000111011000100110101
00000001110111010010001100110111100110111001000011101000011111100101000101011100000010110010100010010010110011111100111110100110111010111100111110
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
,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,1]
mindist=60
weight enumerator=1 [0]  2180 [60]  6323 [64]  11571 [68]  17000 [72]  14920 [76]  9271 [80
]  3440 [84]  780 [88]  48 [92]  1 [100]  1 [112]

```
```q=2 k=14 n=243 d=110
(using automorphisms)

code with group 130409

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000000
000000000000000011111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111110000000000000000000000111000000000000000000000000000000000
111111111111111100000000000000000000000000000011111111111111111111111111111110000000000000001111111111111111111111111111111111111111111111111111111111111100000000000000000000000000000001110000000000000000000111111111111111111000000000000000000
000000001111111100000000111111100000001111111100000000111111110000000011111110000000011111110000000011111111000000001111111000000001111111100000000111111100000001111111111111111111111111110000000111111111000111000000001111111000000001111111000
000011110000111100001111000011100011110000111100001111000011110000111100001110000111100001110000111100001111000011110000111000011110000111100001111000011100011110000111111111111111111111110001111000011111000111000011110000111000011110000111000
001100110011001100110011001100101100110011001100110011001100110011001100110010011001100110010011001100110011001100110011001001100110011001100110011001100101100110011001111111111111111111110110011001100111000111001100110011001001100110011001000
010101010101010101010101010101110101010101010101010101010101010101010101010110101010101010110101010101010101010101010101011010101010101010101010101010101110101010101010100000000000000000001010101010101010000000010101010101011010101010101011000
000011110000111101010101010101110110101010010101100110011001100011001111001101010101001010110011001100110011011010010110101011001101001100110010110011010101111000011110000000001111111100000001111111100000000000000000000000000110000110011110000
010011100111110101001110011111100001011001001100101101011101111011000101111110001010011011000101000011000110011101110010111000110110010100010000010101100111100100100000100011110011111100111111000001000100011011011110001101111000110110010100011
010010110001000111100001101110110011100111110101101100000001011110111001001010001000101001010111110110110001100100111111100011110001101110110110100111011001011010111011111100110100011110011011111110010011101001010100001100010110100100111011101
011101111101001001000100000111010000011000110101011111110010010001000101001011101110110000110001010000100111011000110000100001000100111100000101101011101111110000010001000000010001101110010001010011000111101001010100001100010111011100100101101
010111111100100110011100111101111110000010001001111101010011101111010110011101001001100000110010001001111000011111011011001000001011001001100001010100111000010101001110001101101011110101010100111000101000110101110101111110010001110010101000110
000110110010100000010100110110001101101010000001000100000111100100000110001111000110101000010110001100001010010010110001001010011101000001001111101101100100101001101100000100011010100100110010001101101000011011011110001101111101111101000111011
000000000000000011111111111111100000000000000000000000000000001111111111111111111111111111110000000000000000111111111111111000000000000000011111111111111100000000000000011111111111111111110000000000000001000111111111111111111111111111111111000
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
,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]
mindist=110
weight enumerator=1 [0]  1650 [110]  2115 [112]  315 [114]  345 [116]  2100 [118]  2412 [120
]  90 [122]  423 [124]  2152 [126]  2748 [128]  363 [130]  422 [132]  450
[134]  630 [136]  75 [140]  45 [142]  30 [144]  15 [148]  3 [158]
```

## q=4

```q=4 k=9 n=122 d=80
(extension of a code using automorphisms)

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

mindist=80
weight enumerator=1 [0]  6789 [80]  26655 [84]  62055 [88]  86433 [92]  60330 [96]  17145
[100]  2595 [104]  135 [108]  6 [120]
```
```q=4 k=6 n=139 d=100
(using automorphisms)

code with group 128939

generator matrix:

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

corresponding to the solution:
[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
,0,1,0,0,0]
mindist=100
weight enumerator=1 [0]  324 [100]  1728 [101]  441 [104]  912 [105]  108 [108]  72 [109
]  147 [112]  360 [117]  3 [120]

```
```q=4 k=8 n=201 d=140
(computed using a programm of Johannes Zwanzger)

generator matrix:

[[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
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mindist=140
weight enumerator=1 [0]  5439 [140]  10299 [144]  13986 [148]  15939 [152]  11445 [156]
6573 [160]  1575 [164]  273 [168]  3 [180]  3 [192]

```

## q=5

```q=5 k=7 n=43 d=28
(using automorphisms)

code with group 127619

generator matrix:
1111111001111100111110111111111111111111111
0011244011233411012441011234022333400111232
2414224144233411100132101413202014002223213
4112324140434211330344142024342240230011234
3421223421323124424043200014014242303044111
4311140011400440303111221030033133431103300
1244333403332131210440111314314320210342412
corresponding to the solution:
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mindist=28
weight enumerator=1 [0]  1372 [28]  1736 [29]  2996 [30]  5348 [31]  6776 [32]  9184 [33
]  11032 [34]  11900 [35]  10556 [36]  8288 [37]  5180 [38]  2492 [39]
1008 [40]  196 [41]  56 [42]  4 [43]
```

## q=7

```q=7 k=7 n=69 d=50
(using automorphisms)

code with group 1361

generator matrix:
000011111111111100111111111111110000111111111111000000001111111111101
011112233444556601000112223455661111001122222445011111111122333554210
102602405446251511144050461115030255233300156143100024455616001216261
121151522162526341055504322461024533363534025205333503561461266515612
610246253053550505603064431235651336621233406050034245052045045016216
162213115053126135343151324254453145455545313116120161250244614052325
160134636455015325421625654546450355612433125540005253635205064522245
corresponding to the solution:
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mindist=50
weight enumerator=1 [0]  1872 [50]  4254 [51]  7620 [52]  14214 [53]  24384 [54]  39024 [55
]  55248 [56]  76944 [57]  102624 [58]  111372 [59]  112332 [60]  97752
[61]  78624 [62]  50976 [63]  27360 [64]  11856 [65]  5286 [66]  1344
[67]  378 [68]  78 [69]

```

## q=9

```q=9 k=6 n=21 d=14  optimal
(using automorphisms)

code with group 224
generator matrix:

[[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]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]]
[[0,0]:[0,1]:[0,1]:[1,1]:[1,2]:[1,2]:[2,1]:[0,0]:[0,0]:[0,1]:[0,1]:[0,2]:
[1,0]:[2,1]:[1,1]:[0,0]:[0,1]:[0,1]:[0,2]:[0,2]:[2,0]]
[[2,0]:[2,0]:[2,2]:[1,1]:[1,2]:[2,1]:[2,1]:[1,1]:[0,0]:[0,2]:[2,2]:[0,2]:
[0,0]:[1,1]:[1,0]:[0,0]:[2,1]:[2,2]:[0,1]:[2,0]:[2,2]]
[[0,1]:[0,0]:[2,0]:[0,2]:[1,0]:[0,2]:[0,1]:[1,1]:[0,2]:[1,0]:[0,1]:[0,2]:
[0,2]:[1,2]:[2,2]:[1,1]:[2,1]:[0,0]:[1,1]:[1,2]:[2,2]]
[[1,1]:[0,1]:[1,0]:[1,2]:[1,1]:[0,1]:[2,0]:[2,0]:[0,2]:[2,0]:[0,0]:[1,1]:
[0,0]:[0,2]:[0,0]:[2,1]:[0,0]:[2,1]:[1,0]:[1,0]:[2,0]]
[[0,1]:[2,1]:[0,1]:[2,2]:[2,1]:[2,1]:[0,1]:[2,2]:[0,0]:[2,2]:[1,0]:[2,0]:
[1,2]:[1,0]:[0,0]:[2,0]:[0,0]:[0,1]:[2,0]:[1,0]:[0,2]]

corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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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
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,0,0,0,0,0]
mindist=14
weight enumerator=1 [0]  4200 [14]  8568 [15]  27720 [16]  64680 [17]  113960 [18]  153720
[19]  112560 [20]  46032 [21]
```
```q=9 k=6 n=76 d=60
(using automorphisms)

code with group 18
generator matrix:

[[0,0]:[0,0]:[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]:[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]:
[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]:[0,0]:[0,1]:[0,2]:[1,0]:[2,1]:[2,1]:[2,2]:[2,2]:[1,1]:[0,1]:
[0,1]:[0,2]:[1,0]:[1,1]:[1,2]:[2,1]:[2,2]:[2,2]:[0,0]:[1,1]:[0,0]:[0,0]:
[0,1]:[0,2]:[1,0]:[1,1]:[2,1]:[2,2]:[0,0]:[0,0]:[0,1]:[0,1]:[1,0]:[1,2]:
[2,0]:[2,0]:[2,1]:[2,2]:[0,0]:[0,0]:[0,1]:[0,2]:[0,2]:[1,2]:[1,2]:[2,0]:
[2,1]:[2,2]:[0,1]:[0,1]:[0,2]:[0,2]:[1,0]:[1,0]:[1,1]:[1,2]:[2,0]:[2,2]:
[1,1]:[0,0]:[0,2]:[1,0]:[1,1]:[1,1]:[1,2]:[1,2]:[2,0]:[2,1]:[1,1]:[0,1]:
[0,2]:[2,0]:[2,1]:[0,2]]
[[1,0]:[2,0]:[1,0]:[0,2]:[2,0]:[2,1]:[1,0]:[2,1]:[1,1]:[2,1]:[0,2]:[0,2]:
[2,2]:[1,1]:[1,0]:[0,1]:[2,0]:[1,2]:[0,0]:[2,0]:[1,1]:[1,1]:[0,0]:[2,1]:
[2,2]:[2,1]:[1,1]:[2,2]:[0,2]:[1,2]:[1,2]:[2,0]:[1,0]:[2,2]:[0,0]:[2,1]:
[0,2]:[2,1]:[0,1]:[1,0]:[0,1]:[1,2]:[0,2]:[1,0]:[1,2]:[1,0]:[1,1]:[0,0]:
[2,2]:[1,0]:[0,0]:[2,0]:[0,1]:[2,0]:[0,2]:[2,1]:[2,1]:[0,0]:[2,0]:[0,2]:
[2,1]:[2,0]:[0,1]:[2,2]:[0,1]:[2,0]:[2,0]:[2,1]:[1,0]:[1,2]:[2,0]:[2,2]:
[1,1]:[2,2]:[1,2]:[1,0]]
[[1,0]:[0,2]:[2,0]:[2,2]:[0,0]:[1,2]:[2,2]:[0,0]:[0,2]:[0,1]:[2,0]:[0,1]:
[1,1]:[2,0]:[2,1]:[2,1]:[0,2]:[1,1]:[1,2]:[2,2]:[1,1]:[2,0]:[0,0]:[2,0]:
[0,2]:[2,0]:[0,1]:[0,2]:[2,2]:[1,2]:[2,1]:[1,1]:[0,1]:[0,2]:[2,0]:[1,0]:
[0,2]:[0,0]:[1,1]:[1,0]:[0,0]:[2,2]:[1,0]:[1,0]:[1,1]:[0,0]:[0,1]:[1,1]:
[2,0]:[0,1]:[0,0]:[1,0]:[2,2]:[2,0]:[1,2]:[2,2]:[2,2]:[2,2]:[1,1]:[0,2]:
[0,2]:[2,1]:[0,1]:[1,1]:[1,1]:[0,1]:[0,2]:[1,0]:[2,0]:[2,0]:[2,1]:[0,0]:
[2,0]:[1,2]:[0,2]:[2,0]]
[[1,0]:[2,0]:[0,2]:[1,1]:[0,2]:[0,1]:[1,1]:[1,1]:[2,2]:[1,0]:[0,1]:[0,2]:
[0,2]:[0,0]:[1,0]:[1,2]:[0,0]:[2,1]:[1,1]:[2,2]:[2,0]:[0,1]:[2,0]:[1,1]:
[0,0]:[1,1]:[1,2]:[1,1]:[2,0]:[0,0]:[2,2]:[2,0]:[1,1]:[0,2]:[1,1]:[2,2]:
[1,2]:[0,2]:[2,2]:[0,2]:[0,0]:[0,2]:[2,1]:[2,0]:[0,2]:[1,0]:[2,2]:[0,0]:
[1,2]:[1,2]:[0,2]:[0,1]:[1,2]:[1,1]:[2,2]:[0,1]:[2,2]:[0,1]:[0,2]:[1,1]:
[2,0]:[1,0]:[0,0]:[0,0]:[2,1]:[1,1]:[0,1]:[0,1]:[1,1]:[2,2]:[2,1]:[1,2]:
[1,1]:[2,2]:[0,1]:[0,1]]
[[2,0]:[2,2]:[1,0]:[0,0]:[2,0]:[0,1]:[2,1]:[0,1]:[1,0]:[2,0]:[2,2]:[2,0]:
[0,1]:[2,0]:[1,2]:[2,2]:[1,1]:[2,2]:[1,2]:[0,0]:[2,0]:[1,1]:[2,2]:[2,2]:
[2,2]:[2,2]:[2,2]:[2,2]:[2,1]:[2,0]:[2,2]:[1,1]:[2,2]:[1,2]:[2,1]:[1,0]:
[0,1]:[1,0]:[1,1]:[2,1]:[0,0]:[1,2]:[1,1]:[2,1]:[1,1]:[1,0]:[1,1]:[2,0]:
[2,0]:[2,2]:[1,0]:[1,2]:[2,1]:[0,1]:[2,0]:[1,2]:[2,1]:[2,0]:[0,1]:[1,2]:
[0,0]:[0,1]:[1,1]:[0,0]:[1,0]:[1,2]:[1,0]:[2,1]:[2,2]:[0,2]:[0,0]:[2,2]:
[2,0]:[0,0]:[1,0]:[1,1]]

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mindist=60
weight enumerator=1 [0]  4240 [60]  7440 [61]  11640 [62]  18840 [63]  27560 [64]  47760
[65]  61576 [66]  70680 [67]  76840 [68]  73160 [69]  58728 [70]  39880
[71]  19040 [72]  10600 [73]  2440 [74]  920 [75]  96 [76]

```
```q=9 k=6 n=95 d=76
(using automorphisms)

code with group 18
generator matrix:

[[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]:[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]:[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]:
[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]:[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]:[0,1]:[0,2]:[0,2]:[0,2]:[1,0]:[1,1]:[2,2]:[2,2]:[2,2]:[1,1]:[1,1]:
[0,0]:[0,1]:[0,2]:[1,0]:[2,1]:[2,1]:[2,2]:[2,2]:[1,1]:[0,0]:[0,1]:[0,2]:
[1,1]:[1,1]:[2,0]:[2,1]:[2,1]:[2,2]:[0,0]:[1,1]:[0,0]:[0,1]:[0,1]:[1,0]:
[1,2]:[2,0]:[2,1]:[2,2]:[1,1]:[0,0]:[0,0]:[0,1]:[0,2]:[2,0]:[2,0]:[2,1]:
[2,1]:[2,2]:[1,1]:[0,0]:[0,1]:[1,1]:[1,1]:[1,2]:[2,0]:[2,1]:[2,2]:[2,2]:
[1,1]:[1,1]:[1,1]:[0,0]:[0,2]:[0,2]:[1,0]:[2,0]:[2,1]:[2,1]:[0,1]:[0,2]:
[0,2]:[1,1]:[1,1]:[1,2]:[2,0]:[2,0]:[2,1]:[2,1]:[1,1]:[0,0]:[1,0]:[1,0]:
[1,1]:[1,1]:[1,2]:[1,2]:[1,2]:[2,0]:[1,1]:[0,0]:[0,0]:[1,2]:[1,2]]
[[1,0]:[1,0]:[0,2]:[2,1]:[2,2]:[1,2]:[1,0]:[1,2]:[2,1]:[2,2]:[1,0]:[2,0]:
[1,0]:[0,2]:[2,0]:[2,1]:[1,0]:[2,1]:[1,1]:[2,1]:[2,2]:[1,1]:[0,1]:[2,1]:
[0,2]:[1,0]:[1,0]:[0,1]:[2,1]:[2,0]:[1,1]:[2,0]:[0,1]:[0,0]:[0,1]:[2,2]:
[2,1]:[0,0]:[1,0]:[2,0]:[2,0]:[0,1]:[2,0]:[1,0]:[1,1]:[1,2]:[2,1]:[0,1]:
[1,1]:[2,0]:[0,1]:[1,1]:[0,2]:[0,0]:[0,2]:[1,0]:[0,2]:[0,1]:[1,0]:[1,2]:
[0,1]:[0,2]:[1,0]:[2,1]:[1,0]:[2,2]:[2,1]:[2,1]:[0,2]:[2,0]:[1,0]:[0,0]:
[2,0]:[0,2]:[2,0]:[0,1]:[0,2]:[2,1]:[0,2]:[2,0]:[1,1]:[1,0]:[1,1]:[2,2]:
[0,1]:[0,1]:[1,2]:[2,1]:[2,2]:[1,2]:[2,0]:[0,0]:[2,0]:[0,0]:[2,2]]
[[1,2]:[0,1]:[0,1]:[0,2]:[2,0]:[1,0]:[1,2]:[2,1]:[1,0]:[2,2]:[1,0]:[0,2]:
[2,0]:[2,2]:[0,0]:[1,2]:[2,2]:[0,0]:[0,2]:[0,1]:[1,2]:[0,0]:[0,2]:[1,1]:
[1,1]:[0,2]:[0,2]:[2,1]:[2,0]:[2,1]:[0,2]:[2,2]:[0,2]:[1,1]:[2,2]:[1,1]:
[2,2]:[2,2]:[1,2]:[2,0]:[1,1]:[2,2]:[0,0]:[0,1]:[2,1]:[2,1]:[1,2]:[0,2]:
[0,1]:[0,1]:[1,0]:[2,1]:[1,1]:[1,0]:[1,1]:[2,1]:[1,0]:[0,2]:[1,0]:[2,1]:
[0,2]:[1,0]:[2,2]:[0,2]:[0,0]:[2,0]:[1,1]:[0,0]:[1,1]:[2,0]:[1,0]:[0,1]:
[2,1]:[2,1]:[1,0]:[1,1]:[0,2]:[0,1]:[2,0]:[1,0]:[1,1]:[0,0]:[1,1]:[0,1]:
[1,1]:[2,1]:[1,2]:[0,0]:[0,2]:[1,2]:[2,0]:[0,2]:[0,2]:[0,0]:[0,0]]
[[2,1]:[1,0]:[1,2]:[2,0]:[1,1]:[0,0]:[0,1]:[0,0]:[2,0]:[1,2]:[1,0]:[2,0]:
[0,2]:[1,1]:[0,2]:[0,1]:[1,1]:[1,1]:[2,2]:[1,0]:[1,1]:[1,0]:[1,0]:[2,1]:
[0,1]:[1,1]:[1,1]:[1,0]:[2,2]:[2,1]:[0,0]:[2,0]:[0,0]:[0,2]:[1,2]:[1,1]:
[0,0]:[1,1]:[0,0]:[1,1]:[1,1]:[0,1]:[0,0]:[2,1]:[1,0]:[1,1]:[2,0]:[1,2]:
[0,0]:[0,2]:[0,1]:[1,0]:[0,0]:[2,0]:[0,0]:[1,1]:[2,0]:[1,2]:[1,0]:[2,2]:
[2,2]:[2,2]:[1,0]:[1,0]:[0,2]:[1,1]:[0,1]:[2,1]:[2,2]:[0,1]:[1,1]:[1,2]:
[2,2]:[0,2]:[0,0]:[0,0]:[0,0]:[0,2]:[0,0]:[2,0]:[0,1]:[1,2]:[2,0]:[1,2]:
[0,2]:[1,1]:[0,2]:[2,2]:[1,1]:[1,1]:[0,0]:[1,1]:[1,2]:[0,1]:[2,2]]
[[0,1]:[1,2]:[0,2]:[0,2]:[1,0]:[1,1]:[1,0]:[0,1]:[1,1]:[0,1]:[2,0]:[2,2]:
[1,0]:[0,0]:[2,0]:[0,1]:[2,1]:[0,1]:[1,0]:[2,0]:[0,0]:[0,1]:[2,2]:[0,2]:
[0,1]:[1,1]:[2,2]:[0,0]:[1,2]:[2,1]:[0,1]:[2,1]:[0,0]:[2,1]:[2,0]:[2,0]:
[1,1]:[2,1]:[1,2]:[2,0]:[0,2]:[0,2]:[1,1]:[0,0]:[1,0]:[1,2]:[0,2]:[2,1]:
[1,0]:[2,2]:[0,2]:[0,2]:[0,2]:[1,2]:[0,2]:[2,0]:[0,0]:[0,2]:[0,1]:[1,1]:
[2,2]:[0,0]:[0,2]:[1,2]:[2,1]:[2,2]:[0,2]:[2,0]:[2,0]:[0,0]:[0,2]:[0,0]:
[1,1]:[2,1]:[2,1]:[0,0]:[0,1]:[0,2]:[2,1]:[0,1]:[0,1]:[0,1]:[1,1]:[0,1]:
[0,2]:[1,2]:[0,2]:[2,1]:[1,0]:[1,0]:[1,0]:[0,0]:[1,1]:[2,0]:[2,2]]

corresponding to the solution:
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mindist=76
weight enumerator=1 [0]  3720 [76]  5720 [77]  8600 [78]  14880 [79]  23520 [80]  33520 [81
]  44640 [82]  60520 [83]  64240 [84]  68912 [85]  64640 [86]  53880 [87
]  38840 [88]  25120 [89]  12888 [90]  5120 [91]  1560 [92]  1120 [93]

```
```q=9 k=6 n=104 d=84
(using automorphisms)

code with group 4
generator matrix:

[[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]:[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]:[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]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[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]:[0,0]:[0,1]:[0,2]:[0,2]:[0,2]:[1,1]:[1,1]:[1,1]:[1,1]:[1,2]:
[1,2]:[1,2]:[1,2]:[2,0]:[2,1]:[2,2]:[2,2]:[2,2]:[0,2]:[2,2]:[0,0]:[1,1]:
[1,1]:[0,0]:[0,0]:[0,0]:[0,1]:[0,1]:[0,2]:[1,0]:[1,1]:[1,2]:[1,2]:[1,2]:
[2,0]:[2,1]:[2,1]:[2,1]:[2,2]:[2,2]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:
[0,1]:[0,1]:[0,1]:[0,1]:[0,2]:[1,1]:[1,1]:[1,2]:[2,0]:[2,0]:[2,1]:[2,1]:
[2,2]:[2,2]:[0,0]:[1,1]:[1,1]:[0,0]:[0,2]:[0,2]:[0,2]:[0,2]:[0,2]:[1,1]:
[1,1]:[1,2]:[1,2]:[2,1]:[2,1]:[2,1]:[2,1]:[2,2]:[2,2]:[2,2]:[0,0]:[0,0]:
[0,2]:[0,2]:[0,2]:[0,2]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[1,2]:[1,2]:[1,2]:
[1,2]:[2,0]:[2,1]:[2,1]:[2,1]:[2,2]:[1,1]:[1,0]]
[[0,0]:[0,2]:[0,0]:[0,0]:[0,0]:[0,2]:[2,1]:[1,1]:[1,1]:[1,2]:[2,2]:[0,1]:
[0,2]:[1,2]:[2,1]:[0,1]:[2,0]:[1,0]:[1,0]:[2,2]:[1,0]:[2,1]:[1,1]:[1,2]:
[2,2]:[0,2]:[1,2]:[2,0]:[0,1]:[1,1]:[0,2]:[1,1]:[2,0]:[0,1]:[1,0]:[1,0]:
[0,1]:[0,0]:[0,1]:[2,2]:[1,0]:[1,2]:[0,0]:[0,1]:[1,0]:[1,0]:[0,2]:[2,0]:
[0,2]:[0,2]:[1,0]:[1,1]:[0,1]:[2,1]:[2,2]:[0,0]:[1,1]:[2,1]:[1,1]:[2,0]:
[0,1]:[1,1]:[1,1]:[0,1]:[0,2]:[0,1]:[0,0]:[0,1]:[1,0]:[2,2]:[2,2]:[0,0]:
[2,1]:[0,0]:[2,1]:[0,1]:[1,2]:[2,2]:[2,2]:[0,1]:[1,0]:[1,0]:[1,2]:[2,2]:
[1,1]:[1,2]:[2,2]:[2,2]:[0,0]:[2,2]:[1,2]:[1,2]:[2,0]:[0,0]:[0,1]:[1,0]:
[2,2]:[1,1]:[0,1]:[0,2]:[1,1]:[0,0]:[0,1]:[1,1]]
[[0,0]:[2,2]:[2,1]:[2,2]:[2,0]:[1,1]:[0,2]:[0,1]:[1,0]:[1,0]:[0,1]:[2,0]:
[1,1]:[2,1]:[2,2]:[2,2]:[1,1]:[0,0]:[2,1]:[1,0]:[2,0]:[0,0]:[0,1]:[2,1]:
[1,1]:[0,2]:[1,1]:[1,0]:[2,0]:[0,1]:[0,1]:[1,2]:[2,0]:[1,2]:[1,2]:[1,2]:
[1,2]:[1,1]:[0,2]:[0,1]:[1,1]:[2,0]:[0,0]:[0,1]:[0,2]:[1,1]:[0,0]:[2,2]:
[0,2]:[2,2]:[0,2]:[2,2]:[0,2]:[1,2]:[1,1]:[2,0]:[1,0]:[0,2]:[0,0]:[1,0]:
[0,2]:[1,1]:[0,0]:[2,2]:[0,1]:[2,2]:[1,0]:[0,2]:[0,0]:[2,1]:[2,2]:[0,0]:
[0,1]:[1,0]:[2,2]:[2,0]:[0,0]:[1,1]:[2,2]:[0,0]:[0,1]:[1,0]:[0,2]:[2,2]:
[1,2]:[2,2]:[0,1]:[2,2]:[0,2]:[0,2]:[0,0]:[0,1]:[2,0]:[1,2]:[2,1]:[2,0]:
[2,2]:[0,2]:[0,1]:[0,2]:[0,0]:[0,1]:[2,2]:[1,2]]
[[1,1]:[0,1]:[0,0]:[2,2]:[0,0]:[1,0]:[0,1]:[2,1]:[2,0]:[1,2]:[0,2]:[0,1]:
[0,0]:[0,1]:[2,0]:[0,0]:[2,0]:[1,2]:[0,2]:[2,1]:[0,1]:[0,0]:[2,2]:[0,1]:
[1,1]:[1,0]:[0,2]:[2,1]:[0,0]:[1,1]:[1,0]:[1,0]:[0,1]:[1,1]:[0,2]:[1,0]:
[0,0]:[2,0]:[0,1]:[2,0]:[1,0]:[2,2]:[2,2]:[0,2]:[2,2]:[0,0]:[1,2]:[0,2]:
[2,2]:[2,2]:[1,2]:[2,0]:[1,1]:[2,1]:[1,2]:[2,2]:[1,1]:[2,0]:[1,0]:[0,0]:
[2,1]:[2,1]:[0,2]:[2,1]:[2,2]:[1,1]:[2,1]:[1,2]:[2,0]:[2,1]:[1,0]:[1,0]:
[2,1]:[2,0]:[0,2]:[0,2]:[1,0]:[2,0]:[2,1]:[1,1]:[1,0]:[2,2]:[1,1]:[0,2]:
[2,0]:[1,1]:[2,0]:[2,2]:[1,0]:[2,2]:[1,0]:[1,2]:[1,0]:[0,1]:[1,0]:[0,2]:
[0,1]:[2,1]:[1,2]:[0,1]:[2,1]:[2,1]:[2,1]:[2,2]]
[[0,0]:[0,2]:[0,0]:[1,2]:[1,2]:[0,2]:[1,0]:[1,1]:[1,0]:[0,0]:[2,0]:[0,1]:
[0,0]:[1,1]:[2,0]:[2,2]:[0,1]:[1,0]:[2,0]:[1,1]:[1,1]:[1,0]:[2,2]:[1,2]:
[2,2]:[1,0]:[1,2]:[2,1]:[2,0]:[1,2]:[0,0]:[1,0]:[0,1]:[1,2]:[2,1]:[1,2]:
[1,2]:[1,0]:[1,0]:[0,1]:[2,2]:[1,0]:[1,0]:[1,0]:[1,2]:[2,0]:[1,2]:[1,2]:
[2,2]:[0,1]:[1,1]:[1,1]:[2,2]:[2,0]:[1,2]:[1,1]:[0,0]:[2,2]:[1,2]:[0,1]:
[2,1]:[2,1]:[2,1]:[2,2]:[1,1]:[0,1]:[2,2]:[0,0]:[1,2]:[1,2]:[1,1]:[2,1]:
[2,1]:[0,1]:[1,1]:[2,0]:[2,2]:[0,1]:[1,1]:[0,2]:[0,2]:[0,0]:[1,1]:[2,0]:
[2,2]:[0,1]:[0,0]:[2,2]:[0,1]:[2,0]:[2,1]:[1,1]:[1,2]:[1,2]:[1,2]:[2,2]:
[2,1]:[2,2]:[2,1]:[1,2]:[1,2]:[2,2]:[2,1]:[0,2]]

corresponding to the solution:
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mindist=84
weight enumerator=1 [0]  4088 [84]  8480 [85]  9280 [86]  17040 [87]  23480 [88]  32560 [89
]  48080 [90]  49360 [91]  65520 [92]  67312 [93]  62592 [94]  52000 [95
]  41040 [96]  26080 [97]  15040 [98]  5280 [99]  2720 [100]  800 [101
]  480 [102]  160 [103]  48 [104]

```
```q=9 k=6 n=111 d=90
(using automorphisms)

code with group 18
generator matrix:

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[2,0]:[2,0]:[1,2]]
[[2,1]:[1,1]:[2,1]:[1,1]:[2,2]:[1,1]:[2,2]:[2,1]:[0,1]:[0,1]:[2,1]:[2,1]:
[0,1]:[1,1]:[2,1]:[1,0]:[2,0]:[1,0]:[0,2]:[2,0]:[2,1]:[1,0]:[2,1]:[1,1]:
[2,1]:[1,1]:[2,2]:[2,0]:[2,2]:[0,1]:[0,2]:[2,1]:[2,2]:[1,2]:[2,0]:[1,1]:
[1,0]:[1,2]:[1,2]:[1,1]:[1,0]:[2,0]:[1,2]:[2,1]:[1,1]:[2,0]:[1,2]:[0,2]:
[0,2]:[0,2]:[2,2]:[0,2]:[0,2]:[1,1]:[1,1]:[1,1]:[1,1]:[2,0]:[2,1]:[1,1]:
[1,2]:[1,2]:[1,2]:[2,2]:[0,1]:[2,0]:[2,0]:[0,1]:[1,2]:[1,1]:[2,0]:[1,0]:
[1,2]:[0,2]:[0,1]:[1,1]:[2,0]:[1,0]:[2,0]:[2,2]:[1,2]:[1,2]:[0,0]:[1,0]:
[2,0]:[1,1]:[1,0]:[1,1]:[2,2]:[0,1]:[0,1]:[1,2]:[2,1]:[2,2]:[1,2]:[1,2]:
[1,0]:[2,1]:[0,1]:[1,1]:[0,1]:[2,2]:[0,1]:[0,1]:[2,2]:[2,0]:[0,0]:[1,0]:
[0,0]:[0,2]:[0,2]]
[[1,1]:[0,0]:[0,0]:[2,0]:[2,0]:[1,0]:[1,1]:[2,0]:[2,2]:[2,0]:[0,1]:[0,1]:
[2,2]:[1,0]:[2,1]:[1,0]:[0,2]:[2,0]:[2,2]:[0,0]:[1,2]:[2,2]:[0,0]:[0,2]:
[0,1]:[2,1]:[2,0]:[0,2]:[2,1]:[1,1]:[2,0]:[1,1]:[2,2]:[0,0]:[1,2]:[1,0]:
[0,1]:[1,1]:[2,1]:[0,0]:[2,0]:[1,2]:[0,2]:[2,0]:[1,1]:[2,0]:[0,2]:[0,1]:
[0,1]:[1,0]:[0,1]:[2,0]:[0,2]:[0,0]:[1,0]:[1,2]:[0,2]:[1,0]:[1,2]:[2,0]:
[1,0]:[2,0]:[2,2]:[2,0]:[1,2]:[2,1]:[1,0]:[0,1]:[1,2]:[1,1]:[1,2]:[1,1]:
[0,0]:[2,2]:[0,2]:[1,1]:[1,0]:[2,0]:[1,2]:[1,0]:[1,0]:[1,2]:[2,1]:[2,2]:
[1,0]:[1,1]:[0,0]:[1,1]:[0,1]:[1,1]:[2,1]:[1,2]:[0,0]:[0,2]:[1,2]:[2,1]:
[0,1]:[0,1]:[1,2]:[1,2]:[2,2]:[0,0]:[1,2]:[2,1]:[0,2]:[2,0]:[2,2]:[2,1]:
[1,2]:[2,2]:[1,0]]
[[2,0]:[2,2]:[2,1]:[2,0]:[0,2]:[2,1]:[0,0]:[0,0]:[0,0]:[1,2]:[2,1]:[0,0]:
[0,1]:[2,1]:[1,1]:[1,0]:[2,0]:[0,2]:[1,1]:[0,2]:[0,1]:[1,1]:[1,1]:[2,2]:
[1,0]:[2,0]:[2,1]:[2,0]:[1,2]:[1,1]:[2,2]:[1,0]:[2,0]:[0,1]:[0,2]:[2,0]:
[2,2]:[0,1]:[2,2]:[2,0]:[0,1]:[0,1]:[0,2]:[0,1]:[1,1]:[2,1]:[1,2]:[2,1]:
[2,2]:[1,2]:[0,1]:[1,0]:[1,2]:[2,0]:[0,2]:[2,2]:[0,0]:[0,1]:[2,1]:[0,0]:
[2,1]:[2,1]:[2,0]:[0,2]:[2,2]:[2,2]:[0,0]:[1,2]:[2,2]:[2,2]:[0,1]:[2,0]:
[2,2]:[0,0]:[2,2]:[2,0]:[0,2]:[1,1]:[0,1]:[1,2]:[2,1]:[1,0]:[0,1]:[1,0]:
[0,2]:[0,1]:[1,2]:[2,0]:[1,2]:[0,2]:[1,1]:[0,2]:[2,2]:[1,1]:[1,1]:[1,2]:
[0,2]:[1,1]:[1,1]:[1,0]:[2,0]:[2,0]:[0,2]:[1,0]:[0,2]:[0,0]:[2,0]:[2,1]:
[2,1]:[0,0]:[0,2]]
[[1,1]:[2,1]:[1,0]:[2,0]:[2,1]:[0,0]:[1,1]:[0,1]:[0,0]:[0,2]:[0,1]:[2,1]:
[1,1]:[2,2]:[2,2]:[2,0]:[2,2]:[1,0]:[0,0]:[2,0]:[0,1]:[2,1]:[0,1]:[1,0]:
[2,0]:[0,1]:[1,1]:[2,1]:[1,2]:[0,1]:[0,0]:[1,0]:[1,0]:[1,1]:[2,0]:[1,2]:
[1,2]:[0,1]:[2,1]:[1,1]:[0,1]:[0,0]:[2,1]:[0,0]:[1,0]:[1,2]:[1,1]:[2,2]:
[0,2]:[1,1]:[1,1]:[2,2]:[2,0]:[0,2]:[0,0]:[1,1]:[0,2]:[0,2]:[0,1]:[0,2]:
[2,1]:[0,2]:[0,1]:[0,0]:[1,2]:[1,2]:[2,1]:[1,1]:[0,2]:[2,1]:[2,2]:[0,2]:
[2,1]:[1,1]:[2,1]:[0,1]:[0,0]:[1,1]:[1,1]:[2,1]:[0,0]:[2,1]:[1,2]:[0,2]:
[1,0]:[0,1]:[0,1]:[1,1]:[0,1]:[0,2]:[1,2]:[0,2]:[2,1]:[1,0]:[1,0]:[0,2]:
[0,2]:[0,0]:[1,0]:[0,2]:[2,1]:[0,1]:[2,1]:[0,0]:[1,0]:[2,2]:[2,0]:[0,1]:
[0,0]:[1,2]:[1,2]]

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]
mindist=90
weight enumerator=1 [0]  3440 [90]  7024 [91]  10120 [92]  15920 [93]  24760 [94]  32808
[95]  42600 [96]  51240 [97]  57360 [98]  60600 [99]  62160 [100]  53024
[101]  46040 [102]  31960 [103]  17440 [104]  9920 [105]  3128 [106]
1000 [107]  680 [108]  160 [109]  40 [110]  16 [111]

```
```q=9 k=6 n=117 d=95
(using automorphisms)

code with group 18
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]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[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]:[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]:[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]:[0,2]:[1,0]:[1,1]:[1,1]:[1,2]:[2,2]:[2,2]:[2,2]:[2,2]:[0,0]:[0,1]:
[1,0]:[1,0]:[1,2]:[1,2]:[1,2]:[2,0]:[2,2]:[2,2]:[0,0]:[0,1]:[1,0]:[1,0]:
[1,1]:[1,1]:[1,2]:[2,0]:[2,0]:[2,2]:[0,1]:[0,2]:[1,1]:[2,0]:[2,0]:[2,0]:
[2,1]:[2,2]:[2,2]:[2,2]:[0,0]:[0,0]:[0,1]:[0,1]:[1,1]:[2,0]:[2,1]:[2,2]:
[2,2]:[2,2]:[1,1]:[1,1]:[0,0]:[0,1]:[0,2]:[1,0]:[2,1]:[2,1]:[2,2]:[2,2]:
[0,0]:[0,0]:[0,2]:[0,2]:[1,0]:[1,0]:[1,1]:[1,2]:[2,1]:[2,2]:[1,1]:[0,0]:
[0,1]:[0,1]:[1,1]:[1,2]:[1,2]:[1,2]:[2,1]:[2,2]:[1,1]:[0,0]:[0,0]:[0,1]:
[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[2,1]:[2,1]:[1,1]:[0,0]:[0,0]:[0,0]:[0,2]:
[1,1]:[1,2]:[2,1]:[2,1]:[2,1]:[0,0]:[0,1]:[0,2]:[1,2]:[2,1]:[0,0]:[0,1]:
[0,1]:[0,1]:[0,2]:[0,2]:[0,2]:[0,2]:[1,0]:[1,2]:[1,0]]
[[0,0]:[2,1]:[2,0]:[0,2]:[2,0]:[2,1]:[1,0]:[1,2]:[2,1]:[2,2]:[1,2]:[2,2]:
[0,1]:[2,0]:[1,2]:[2,0]:[2,2]:[1,0]:[0,2]:[2,2]:[0,2]:[0,2]:[2,1]:[2,2]:
[0,1]:[1,1]:[0,2]:[0,1]:[2,0]:[2,2]:[2,2]:[1,0]:[0,1]:[0,2]:[1,1]:[2,0]:
[0,2]:[1,0]:[2,1]:[2,2]:[0,1]:[0,2]:[1,1]:[2,1]:[2,0]:[1,1]:[0,1]:[0,0]:
[1,0]:[2,1]:[1,0]:[2,0]:[1,0]:[0,2]:[2,0]:[2,1]:[1,0]:[2,1]:[1,1]:[2,1]:
[1,0]:[1,1]:[0,0]:[1,0]:[0,0]:[2,1]:[0,2]:[0,1]:[0,0]:[2,0]:[2,2]:[0,1]:
[1,2]:[2,0]:[0,2]:[0,0]:[0,2]:[2,2]:[2,0]:[1,2]:[1,0]:[0,0]:[1,0]:[1,0]:
[1,0]:[2,1]:[0,0]:[0,0]:[0,2]:[2,2]:[1,2]:[0,1]:[0,0]:[1,0]:[1,1]:[0,1]:
[1,1]:[0,2]:[0,0]:[1,0]:[1,1]:[2,0]:[2,0]:[1,0]:[1,0]:[0,2]:[0,2]:[0,1]:
[0,1]:[2,0]:[0,2]:[1,1]:[1,2]:[2,0]:[0,1]:[0,0]:[1,1]]
[[0,2]:[0,2]:[0,1]:[2,2]:[2,1]:[2,1]:[0,2]:[1,2]:[0,1]:[2,2]:[0,0]:[1,1]:
[2,0]:[0,0]:[0,2]:[0,2]:[2,2]:[1,1]:[0,1]:[1,2]:[1,2]:[1,1]:[0,1]:[1,1]:
[2,2]:[1,2]:[2,1]:[0,0]:[0,1]:[1,0]:[1,2]:[2,2]:[0,1]:[2,1]:[1,0]:[0,1]:
[0,2]:[1,2]:[2,0]:[0,0]:[2,0]:[1,2]:[0,2]:[0,2]:[0,0]:[2,2]:[1,0]:[2,2]:
[0,0]:[2,2]:[1,0]:[0,2]:[2,0]:[2,2]:[0,0]:[1,2]:[2,2]:[0,0]:[0,2]:[0,1]:
[2,0]:[1,0]:[1,1]:[1,2]:[1,0]:[1,1]:[2,2]:[1,0]:[2,0]:[2,1]:[1,1]:[1,0]:
[2,1]:[1,1]:[1,2]:[2,2]:[2,2]:[1,2]:[1,0]:[0,2]:[0,2]:[0,1]:[2,2]:[2,0]:
[2,0]:[0,0]:[0,2]:[1,2]:[1,0]:[1,2]:[0,1]:[0,1]:[1,2]:[2,2]:[1,1]:[2,1]:
[0,2]:[0,1]:[1,1]:[1,0]:[0,1]:[0,1]:[0,2]:[0,0]:[1,0]:[2,2]:[1,0]:[1,0]:
[2,2]:[0,2]:[1,0]:[0,1]:[2,2]:[1,2]:[1,1]:[1,1]:[1,2]]
[[1,2]:[0,0]:[2,2]:[0,0]:[0,0]:[0,0]:[1,2]:[0,2]:[1,0]:[2,0]:[1,1]:[2,2]:
[0,1]:[1,0]:[1,0]:[2,2]:[2,1]:[1,1]:[1,2]:[2,0]:[1,0]:[2,0]:[2,0]:[2,1]:
[2,1]:[0,0]:[0,0]:[1,1]:[0,2]:[2,0]:[1,2]:[1,1]:[1,2]:[0,0]:[2,0]:[2,0]:
[1,0]:[2,2]:[0,0]:[0,2]:[2,1]:[2,2]:[2,2]:[2,0]:[1,0]:[0,2]:[2,1]:[0,2]:
[1,0]:[2,0]:[1,0]:[2,0]:[0,2]:[1,1]:[0,2]:[0,1]:[1,1]:[1,1]:[2,2]:[1,0]:
[0,1]:[0,0]:[2,1]:[1,1]:[1,1]:[0,1]:[0,0]:[0,0]:[0,2]:[0,0]:[2,1]:[2,1]:
[1,2]:[2,0]:[0,1]:[2,0]:[2,1]:[0,1]:[2,1]:[0,2]:[2,2]:[0,1]:[0,2]:[1,2]:
[2,1]:[1,1]:[1,0]:[2,2]:[0,2]:[0,2]:[1,0]:[0,0]:[0,0]:[0,2]:[2,0]:[1,0]:
[1,1]:[2,1]:[0,1]:[1,0]:[2,1]:[2,1]:[0,1]:[1,2]:[1,1]:[2,1]:[0,1]:[1,1]:
[2,0]:[0,2]:[0,2]:[0,2]:[0,0]:[1,1]:[2,2]:[0,0]:[2,2]]
[[1,2]:[0,2]:[0,1]:[0,2]:[1,1]:[1,2]:[2,2]:[1,1]:[1,2]:[1,0]:[1,1]:[0,0]:
[2,1]:[2,2]:[2,2]:[0,0]:[1,0]:[1,2]:[2,2]:[2,1]:[1,0]:[1,1]:[1,0]:[1,2]:
[2,0]:[1,0]:[0,1]:[1,0]:[1,0]:[1,0]:[2,2]:[1,2]:[2,0]:[2,1]:[2,1]:[1,2]:
[2,0]:[1,0]:[2,1]:[0,0]:[0,0]:[0,2]:[2,2]:[0,2]:[1,2]:[1,0]:[2,0]:[1,0]:
[1,2]:[2,2]:[2,0]:[2,2]:[1,0]:[0,0]:[2,0]:[0,1]:[2,1]:[0,1]:[1,0]:[2,0]:
[2,1]:[1,0]:[1,1]:[0,2]:[1,2]:[0,1]:[2,1]:[2,1]:[0,2]:[1,2]:[1,0]:[1,0]:
[0,0]:[2,0]:[2,0]:[1,2]:[1,0]:[0,1]:[1,2]:[1,1]:[2,2]:[2,0]:[1,1]:[2,2]:
[1,1]:[0,1]:[1,2]:[2,1]:[0,1]:[0,0]:[2,0]:[0,2]:[0,1]:[0,1]:[0,0]:[0,1]:
[1,1]:[1,0]:[2,1]:[1,2]:[0,0]:[2,1]:[1,1]:[1,2]:[1,0]:[2,0]:[0,1]:[1,0]:
[1,1]:[0,0]:[0,1]:[0,0]:[1,1]:[1,2]:[1,0]:[2,1]:[0,2]]

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
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,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]
mindist=95
weight enumerator=1 [0]  3360 [95]  6280 [96]  9848 [97]  13640 [98]  21600 [99]  28920 [100
]  38800 [101]  45928 [102]  55600 [103]  61880 [104]  63920 [105]  57776
[106]  44088 [107]  33040 [108]  22600 [109]  12640 [110]  7480 [111]
2880 [112]  840 [113]  320 [114]

```
```q=9 k=6 n=125 d=102
(using automorphisms)

code with group 4

generator matrix:

[[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]:[0,0]:[0,0]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[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]:[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]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[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]:[0,0]:[0,0]:[0,0]:[0,1]:[0,1]:[0,1]:[0,2]:[1,0]:[1,2]:
[1,2]:[2,0]:[2,0]:[2,1]:[2,1]:[2,2]:[2,2]:[2,2]:[1,1]:[1,1]:[0,0]:[0,1]:
[0,1]:[0,1]:[0,2]:[0,2]:[0,2]:[1,0]:[1,0]:[1,1]:[1,2]:[1,2]:[2,0]:[2,0]:
[2,1]:[2,2]:[2,2]:[2,2]:[0,1]:[0,1]:[0,1]:[0,2]:[0,2]:[0,2]:[1,0]:[1,0]:
[1,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,2]:[1,2]:[2,1]:[2,1]:[2,2]:[2,2]:
[1,1]:[1,1]:[1,1]:[0,0]:[0,1]:[0,2]:[0,2]:[0,2]:[1,0]:[1,0]:[1,2]:[1,2]:
[1,2]:[2,0]:[2,0]:[2,1]:[2,1]:[2,2]:[2,2]:[2,2]:[1,1]:[1,1]:[0,0]:[0,0]:
[0,0]:[0,0]:[0,1]:[0,2]:[1,1]:[1,1]:[1,1]:[1,2]:[1,2]:[1,2]:[2,0]:[2,1]:
[2,1]:[2,2]:[2,2]:[2,2]:[0,0]:[0,0]:[0,0]:[0,1]:[0,1]:[0,2]:[0,2]:[1,0]:
[1,0]:[1,0]:[1,2]:[1,2]:[1,2]:[1,2]:[2,0]:[2,1]:[2,1]:[2,1]:[2,1]:[2,2]:
[1,1]:[1,1]:[1,2]:[1,2]:[2,0]]
[[1,1]:[0,1]:[2,1]:[0,0]:[1,0]:[1,2]:[2,0]:[2,2]:[2,2]:[0,2]:[0,1]:[1,1]:
[2,0]:[1,1]:[2,2]:[0,1]:[2,1]:[0,2]:[1,0]:[2,1]:[0,0]:[1,1]:[0,2]:[1,1]:
[1,1]:[1,1]:[0,2]:[2,1]:[2,2]:[0,2]:[2,1]:[2,0]:[1,2]:[2,1]:[0,0]:[1,1]:
[2,1]:[0,2]:[1,1]:[1,1]:[2,0]:[2,1]:[2,2]:[0,0]:[0,1]:[0,2]:[0,0]:[1,0]:
[1,1]:[1,0]:[1,0]:[2,0]:[2,1]:[2,2]:[0,0]:[2,2]:[0,0]:[2,2]:[0,1]:[1,1]:
[0,2]:[1,2]:[2,1]:[0,0]:[1,1]:[0,2]:[1,0]:[2,1]:[2,0]:[2,1]:[1,2]:[1,2]:
[2,2]:[0,0]:[1,1]:[0,0]:[2,0]:[0,1]:[1,0]:[1,1]:[1,0]:[2,1]:[0,1]:[0,1]:
[0,2]:[1,2]:[2,1]:[2,0]:[0,1]:[1,2]:[2,1]:[1,2]:[2,0]:[2,0]:[2,0]:[0,2]:
[1,0]:[0,0]:[0,1]:[0,2]:[1,1]:[1,0]:[1,1]:[1,0]:[1,2]:[0,1]:[2,2]:[0,2]:
[2,2]:[2,2]:[0,1]:[0,2]:[1,2]:[2,1]:[2,2]:[0,0]:[0,2]:[1,1]:[1,2]:[0,1]:
[0,1]:[1,0]:[2,0]:[2,1]:[2,2]]
[[0,2]:[1,0]:[2,0]:[2,0]:[1,2]:[1,1]:[0,1]:[1,0]:[1,1]:[0,2]:[1,1]:[1,2]:
[1,0]:[0,1]:[0,1]:[0,1]:[2,0]:[2,2]:[1,0]:[0,1]:[1,2]:[2,1]:[2,0]:[2,1]:
[2,1]:[2,2]:[0,0]:[0,2]:[1,0]:[0,1]:[2,1]:[2,2]:[1,0]:[2,0]:[2,0]:[2,1]:
[2,2]:[0,1]:[1,0]:[2,2]:[1,1]:[0,2]:[1,1]:[2,1]:[2,1]:[1,0]:[2,1]:[0,2]:
[1,1]:[0,0]:[1,0]:[2,2]:[1,1]:[2,0]:[2,1]:[2,0]:[0,2]:[2,0]:[2,1]:[2,2]:
[2,0]:[1,0]:[2,2]:[2,1]:[2,0]:[0,1]:[2,1]:[0,0]:[2,1]:[2,2]:[0,0]:[0,2]:
[2,0]:[0,1]:[1,0]:[2,0]:[0,1]:[1,1]:[0,1]:[1,1]:[0,1]:[0,0]:[2,0]:[2,2]:
[0,2]:[1,2]:[2,1]:[1,0]:[2,1]:[2,2]:[2,2]:[1,1]:[0,0]:[1,1]:[0,0]:[2,1]:
[0,0]:[1,1]:[0,1]:[0,2]:[2,0]:[2,2]:[0,2]:[2,1]:[1,1]:[0,1]:[1,2]:[2,2]:
[0,1]:[1,0]:[2,0]:[1,2]:[0,1]:[0,1]:[0,1]:[0,2]:[1,0]:[1,1]:[1,2]:[1,2]:
[2,0]:[2,0]:[0,2]:[0,2]:[0,0]]
[[1,1]:[1,1]:[2,1]:[0,1]:[2,0]:[2,1]:[2,2]:[0,0]:[2,1]:[2,1]:[0,1]:[2,1]:
[2,1]:[0,0]:[2,2]:[0,0]:[1,2]:[2,2]:[2,0]:[0,0]:[2,2]:[1,1]:[0,1]:[2,0]:
[2,0]:[1,2]:[2,2]:[1,1]:[2,1]:[0,1]:[2,2]:[1,1]:[0,2]:[0,1]:[2,1]:[1,1]:
[2,1]:[1,0]:[1,2]:[1,1]:[1,2]:[1,2]:[0,2]:[1,0]:[2,1]:[1,1]:[1,1]:[0,1]:
[1,1]:[1,1]:[1,2]:[2,1]:[2,2]:[0,1]:[2,0]:[1,2]:[0,2]:[2,2]:[1,0]:[1,1]:
[0,0]:[1,0]:[0,1]:[1,0]:[2,1]:[0,1]:[1,0]:[2,1]:[1,0]:[0,0]:[2,2]:[2,2]:
[1,1]:[2,0]:[1,1]:[1,2]:[2,2]:[0,2]:[1,1]:[1,2]:[2,2]:[1,0]:[2,0]:[0,0]:
[0,2]:[2,2]:[1,1]:[2,2]:[2,0]:[2,2]:[0,2]:[0,1]:[0,2]:[1,0]:[0,2]:[1,2]:
[2,1]:[0,0]:[2,0]:[2,1]:[2,2]:[1,1]:[1,1]:[0,2]:[2,0]:[2,2]:[2,2]:[0,2]:
[2,2]:[2,1]:[0,2]:[2,2]:[2,2]:[0,1]:[0,1]:[0,1]:[1,2]:[2,0]:[2,2]:[1,2]:
[1,1]:[0,0]:[1,1]:[2,1]:[0,2]]
[[1,2]:[1,2]:[2,0]:[0,1]:[1,2]:[2,0]:[0,1]:[1,2]:[2,2]:[1,0]:[0,2]:[1,0]:
[2,1]:[1,0]:[0,1]:[0,1]:[0,2]:[1,1]:[2,2]:[2,0]:[0,0]:[2,0]:[1,2]:[0,1]:
[1,0]:[0,0]:[0,1]:[1,1]:[2,2]:[0,2]:[2,0]:[0,2]:[0,2]:[0,1]:[2,2]:[2,0]:
[0,1]:[1,1]:[2,0]:[1,1]:[1,0]:[2,0]:[1,1]:[2,1]:[2,2]:[2,1]:[2,0]:[2,0]:
[1,0]:[0,1]:[2,2]:[2,0]:[1,0]:[0,0]:[1,2]:[1,1]:[0,2]:[0,2]:[2,1]:[0,0]:
[0,1]:[1,2]:[0,1]:[0,2]:[0,0]:[0,2]:[2,0]:[1,2]:[0,2]:[2,0]:[0,0]:[2,2]:
[0,1]:[1,1]:[0,2]:[2,2]:[1,2]:[2,0]:[1,0]:[1,2]:[1,2]:[1,0]:[2,1]:[1,0]:
[2,1]:[1,1]:[1,0]:[1,0]:[1,2]:[1,1]:[0,0]:[2,0]:[2,0]:[0,0]:[2,1]:[0,0]:
[0,1]:[2,2]:[1,2]:[2,2]:[0,2]:[1,2]:[0,0]:[2,2]:[1,1]:[2,0]:[0,2]:[0,2]:
[1,0]:[0,2]:[2,2]:[2,0]:[2,2]:[2,1]:[2,1]:[2,1]:[0,1]:[0,2]:[1,0]:[0,1]:
[0,1]:[1,1]:[1,1]:[2,0]:[2,2]]

corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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mindist=102
weight enumerator=1 [0]  3520 [102]  6800 [103]  8920 [104]  16272 [105]  21200 [106]  28720
[107]  34280 [108]  47600 [109]  53120 [110]  60360 [111]  57040 [112
]  54360 [113]  50400 [114]  34872 [115]  26520 [116]  12960 [117]  8400
[118]  3920 [119]  1568 [120]  560 [121]  48 [125]
```

University of Bayreuth -