´

# new linear codes from 131209

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

## binary q=2

```q=2 k=16 n=48 d=16 optimal
(special construction)

generator matrix:
000001111100000111110000011111000110001101000000
000110001111111001110011100001001110011100000110
001010000100011000010100001111000110001110000000
011010111100101010110100000011010010110001011110
010101011100000111011000100000010100000000000110
001111100111001010000101011101010010010100111010
010101001101001001111111010000101001010001101110
110011101100010100010111000101101101111110101000
101110000010011111111011000100111010001100100100
110111100110011101001110110011011000011010100010
010101111010100001101110110010011010101100110110
001100110001000001000101110011101110101000000110
010011010010000001001111110000111111110000101110
001100011111000010110100011011110101110010011000
011101101100001010011100001011001011011101010100
111111111111111111111111111111111111111111111111
mindist=16
weight enumerator=1 [0]  1623 [16]  4096 [18]  5760 [20]  12288 [22]  18000 [24]  12288 [26
]  5760 [28]  4096 [30]  1623 [32]  1 [48]

```
```q=2 k=9 n=54 d=24 optimal
(using automorphisms)

code with group 35951

generator matrix:
000011011001000011011111000111000111000111010001110111
000101111011001111100011001011001011011001010110010010
000011011111110101001101001011011111101111101110000001
011000001101011101111101010101111101000010010011100100
000110100001110101110101101101101101001010111000011001
000011011010111010101001011001011001101100010001111011
101000111110111001001110100110010101110010010101101000
111001011100111010010110010101111000111000100000101101
011101001100100010000101110011110000100111110101110011
corresponding to the solution:
[0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=24
weight enumerator=1 [0]  247 [24]  158 [28]  87 [32]  18 [36]  1 [40]

```
```q=2 k=13 n=109 d=46
(extension of a code)

generator matrix:
1110001111000111100011110001111000111100011110001111000111100011110001111000111100000000001111000111100011111
1100110110011011001101100110110011011001101100110110011011001101100110110011011000000000110110011011001101100
1011010101101010110101011010101101010110101011010101101010110101011010101101010100000001010101101010110101010
1101101100000111100011110110110110110000011110001111011011001101101101100110110000011110000000110001110101010
0100001111011011001101101011010000111101101100110110101101010110100001111000111101101100000000011100111000111
0111011010101010110101011100011101101010101011010101110001111000111011010101101010101010000000000111111011000
0011100011101101010101011100011101010111000111010101101101001110011011010011100111011001010101000000011000111
1000111001101010111000110111001110001101110011100011101010111011001010101110110000011111100011000000001110011
1100001111011100111011000001111110110000011111101100011100101101100111001011011010110101101100000000000011110
0011100011101010110110101100011101010110101011100011101010111011000110110110001110101011101100011011000000001
1000111001110001110101010111001110001111000110111001110001100011111011010011100111000110001111101101000000001
1100001111110110001110010001111110110011011000001111110110010110101100011000111111011001011010110001100000000
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110
mindist=46
weight enumerator=1 [0]  802 [46]  577 [48]  1032 [50]  802 [52]  1260 [54]  714 [56]  1288
[58]  637 [60]  738 [62]  340 [64]  1 [108]
```
```q=2 k=14 n=112 d=46
(using automorphisms)

code with group 128122

generator matrix:
0111111000001100011110001111000111100011110001111011111100000110001111000001100000110000011000111100011110000011
1001111001110100101110110011011011111101110010011100011100111010010011000110100011010000101001000100100000011100
0110011010010101110110000001001101100001111111101001100111011010100001011111111101000011100110001001111111100101
1010101100110110011010110101000000000000001100110101101001111000111100101011000101110100111110110001001111101100
1011011000001101100111110100001111100010010000100000000010001000110100110111001001101100110011010110010010011001
1000000001001010010001011001111001100010100110111010101111000000100110111101001001101001000111100001000001111001
0001001011000101010100001000011110000111111101111111000010010011001101110110001101100001000011100000100010110110
1101000110101011010100100001011000100101111010111100000100110000000010110010011000010000101001101100001111101011
1111101001011010101110110111111110101100101101010111000000101010011011011111101000011000000001101010011100010111
1011010110001010110111001010101000010011110000011110100000111110000000011000011101000101100001100110010001110100
0100000100000010001010100101101000111000011111111100111111011101000110000010010111011101110000101111000101111100
0100000001011101001110010111001010100010100011100101000011110001101101000110101101111100011010101110000001110110
1100010010101100000001100101010101011011110011111000110011110110010000111110011001110110011011000010011000010011
0000000000101101001010110111111101101110110001111010000001110000101000111111000110111011000100101011011001100011
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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,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
,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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]
mindist=46
weight enumerator=1 [0]  728 [46]  1008 [48]  1904 [50]  924 [52]  1400 [54]  4454 [56]
1400 [58]  924 [60]  1904 [62]  1008 [64]  728 [66]  1 [112]

```

## ternary q=3

```q=3 k=10 n=180 d=108
(using automorphisms)

code with group 129358

generator matrix:
000001111111111100000011111111110011111111111111000000111111111100000011111111110001111101111111011100000111111111110000011111111111000111111111111100000011111111110000000011111111
000110000011122200111100001112221100111111222222011111000001222200111100001112220010112210111222101200011000001112220111101111122222011000001111222211111111111222220000111100001122
011020122202201201011212220221221222011222011222102222001111112200000201120020221122112202001022210211102011110010120011200111201122012002220011012201111201112011121111022200120101
102120201221121211102001120021121001111112100002111112120012122201022011100112121211011200121012210201200001220222211201012022020101121010020100200120022201122101201122000102020121
121211121110020112221201120222222222102012122022111121222212010212011000102122120210020221221122120110001000122211221220000002012020221201211001210001212020210210210201012201202110
222221221220111221211020211022020010201100022111211112020220101111202211011202011121001111101021101202120020112010021200102212201122210111000001022112210201100211122212001220011221
021201101122222200120110211220112000220022202112020222102111010121201120111010200200211011110200022210012112102211110102012100112110120020021200002201122101102110201100200212000100
202011202222112211012120002221100002220211002122000201100222201020021010110121122012121201211002011121221022021202211010110200122102201100011212122022001200211121022112000202211020
202022212121122020220011200020022222202211212200020201211112001211110001002221122000120112000111022200222000011010011200101200022222212110011011100121012212200002221122002210100011
111202200222001101220211221121011221211202121210101221100111200012121010110201002120100212121120221012222220101222212012200102110211120112022121202221122011220022112011101011000010
corresponding to the solution:
[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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0
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mindist=108
weight enumerator=1 [0]  2712 [108]  6720 [111]  3648 [114]  9888 [117]  14112 [120]  7680
[123]  5472 [126]  6192 [129]  2280 [132]  152 [135]  192 [138]

```
```q=3 k=10 n=220 d=135
(using automorphisms)

code with group 129355

generator matrix:
generator matrix:
0001111111100000111111000011111110011111111100111111111000011111110001111111100001111111000111111110000011111100111111111000001111110011111111100111111111000011111110000001111100001111111000001111110000000011100000011111
0110002222200011001122011100111120000000122200001112222001101112220110001222201110011222011000111120011101112200001112222011110011221100011222201000011112011100011120000010122201110011222001110011220111111100200011100001
0121120001201112120112000211000220100112112211011120122010201120220021121012210111212022102000122220100101221211020220112001221112222201201000101001100111101101200110001101200110220011000001220000001001112202011100112221
1210200111211200001122112000012020211120212201220211022001011201121220101012222011010102201112201210201001011000220000110021220222002212121012201011222022001221202010110221000001020112022111120202020020110221000101200022
0001101122102011122122100001110021212201010211020122122020110022122001121201212011121110011022100111201101002200222121021102121112010120002102200202202120020111220011020101001011102000001120200000002220010220102212110211
0100001010102102102122202221100121222012022210102222101121012101012000122012120010201000200100212112210010000212102220002012012111022002222101011110021002020002122010220010211020011220211110200022220121020200220122120022
1011102220101122012101200021222011020002122120122112022221101221221020122110120202011010210020120002002101212000000202212011121212110021121010000220101211220010221102111010221020001001100222121100022201022110111110111101
2100220001210112102112010200202010022121111020202100212110021012221010200121210210002110022101212002002220221120110010121002001022111112120110021211010111012022001102021000220212001002101011200020121200200010012211121200
1012022221201120011100202112122121000000011220201101011001212200000212212221111212212121022221102020212011100201100212121012010022220001010000012121012101012011121102101201020220011010120222200022122102120111002222010012
0210220111201011120101012211010201002210202011010022020022011121020001221120120121020110021021212202121012211211111121221202212021022010002202102210112012100020021011212100201002012122200000000111201212100222201210012112
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]
mindist=135
weight enumerator=1 [0]  1760 [135]  11440 [138]  7700 [141]  4840 [144]  10120 [147]  5588
[150]  5500 [153]  10120 [156]  1760 [159]  220 [162]

```

## q=4

```q=4 k=9 n=39 d=21
(using automorphisms)

code with group 128570

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

corresponding to the solution:
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mindist=21
weight enumerator=1 [0]  684 [21]  1584 [22]  3771 [23]  6195 [24]  10080 [25]  18108 [26
]  27138 [27]  31356 [28]  35676 [29]  40572 [30]  35127 [31]  23022 [32
]  15108 [33]  8712 [34]  3456 [35]  1194 [36]  252 [37]  72 [38]  36 [39
]

```
```q=4 k=9 n=43 d=24
(using automorphisms)

code with group 128570

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

corresponding to the solution:
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mindist=24
weight enumerator=1 [0]  1968 [24]  7101 [26]  24048 [28]  50172 [30]  71667 [32]  65022
[34]  32448 [36]  8604 [38]  1068 [40]  45 [42]

```
```q=4 k=9 n=120 d=78
(using automorphisms)

code with group 127798

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

corresponding to the solution:
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mindist=78
weight enumerator=1 [0]  2754 [78]  5967 [80]  10761 [82]  20400 [84]  28815 [86]  38046
[88]  43146 [90]  41616 [92]  32895 [94]  20400 [96]  10965 [98]  4896
[100]  1173 [102]  255 [104]  51 [110]  3 [120]

```
```q=4 k=9 n=137 d=90
(using automorphisms)

code with group 127798

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

corresponding to the solution:
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mindist=90
weight enumerator=1 [0]  2397 [90]  5763 [92]  10506 [94]  16167 [96]  24939 [98]  33558
[100]  41718 [102]  39066 [104]  34323 [106]  25908 [108]  15096 [110
]  8211 [112]  3009 [114]  1275 [116]  204 [118]  3 [120]

```
```q=4 k=9 n=221 d=150
(using automorphisms)

code with group 127798

generator matrix:
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corresponding to the solution:
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mindist=150
weight enumerator=1 [0]  2040 [150]  3825 [152]  6630 [154]  12189 [156]  16371 [158]  21624
[160]  26112 [162]  30345 [164]  29682 [166]  29121 [168]  28050 [170
]  21114 [172]  15453 [174]  10149 [176]  5202 [178]  2805 [180]  918 [182
]  408 [184]  102 [186]  3 [204]

```

## q=5

```q=5 k=8 n=29 d=16
(using automorphisms)

code with group 127680

generator matrix:
00111111100111111100001111110
11023333401000034411112222221
23210233411023441201240001310
23433214224433432443031340331
33201423143403343103114332044
03003322114212220314442123012
23234204100014210423100001242
01044100014132330404413221422
corresponding to the solution:
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,0,0,0,0,0,1]
mindist=16
weight enumerator=1 [0]  972 [16]  1872 [17]  5760 [18]  10120 [19]  22904 [20]  39996 [21
]  58212 [22]  70272 [23]  69408 [24]  56340 [25]  34452 [26]  15336 [27
]  4288 [28]  692 [29]

```
```q=5 k=8 n=37 d=22
(using automorphisms)

code with group 127680

generator matrix:
0111111110011111110011111110111111111
1011123440122233441100112341001223340
4223413031134411224444441411243001311
0110030210201403012212221444332043131
2131112143322242101303144110030333221
2413041203233120233102244124103022312
0431321100203133340423423322201102400
2131412402010104202431141104231331423
corresponding to the solution:
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,0,0,0,0,1,0]
mindist=22
weight enumerator=1 [0]  1404 [22]  2232 [23]  6408 [24]  10476 [25]  20160 [26]  33480 [27
]  47968 [28]  61092 [29]  62100 [30]  58140 [31]  43524 [32]  26820 [33
]  11520 [34]  4068 [35]  1120 [36]  112 [37]

```
```q=5 k=8 n=55 d=35
(extension of a code using automorphisms)

generator matrix:
0011111110111111110111111110001111110011111110001111111
0100014441001334441011223440111124440100112231112223332
1301220141112243442324330141140340331411121240341440231
0210114042443232234210042222010134014211322342033334333
2412104001342434322244411144314410201423411123212344324
4003341213012131300201402331314422311214410123420244341
3034220232441212004102431331122423401324310223230243314
2241114242100304002321044123243331231230423230211021232
mindist=35
weight enumerator=1 [0]  828 [35]  2124 [36]  4936 [37]  7668 [38]  12672 [39]  19116 [40
]  30744 [41]  38592 [42]  45036 [43]  51732 [44]  53352 [45]  46240 [46
]  33120 [47]  22248 [48]  12996 [49]  5868 [50]  2232 [51]  792 [52]
288 [53]  40 [54]

```

## q=7

```q=7 k=5 n=60 d=47
(using automorphisms)

code with group 59654

generator matrix:
011111111111111011110111101111011110011101111011111111101111
004560112602266003661023603356102460145512355114450124410333
004620135245634131040154314633206221311501434123625111453246
036642555516366353015135463403031444061112462456026331213516
125465464102361454515555315443614506046646060012616435162034
corresponding to the solution:
[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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,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
,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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]
mindist=47
weight enumerator=1 [0]  1200 [47]  1620 [48]  1980 [49]  1920 [50]  1860 [51]  1770 [52
]  2340 [53]  1680 [54]  1290 [55]  840 [56]  210 [57]  90 [58]  6 [60
]

```
```q=7 k=7 n=60 d=47
(using automorphisms)

code with group 1031

generator matrix:
0001111111111111111000111111111111111111111111111111111110000111111111111111
1111333444444555566111001123444455666600012223333344566660011000112334444556
1235005011233122656333461521115523003524461551455556300141156015054333566001
1542034146400103142133542424134544352501535043022264111351562663561030204465
5061606354004030104503664653255152104151420221513446105326110666123212330144
1665560464526113421301342312341461654425540362010421103621265263246550023532
2155226161260015050043144361642643242413611145136066232536533160654552641652
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
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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
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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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=56
weight enumerator=1 [0]  2052 [56]  4332 [57]  10146 [58]  18240 [59]  22914 [60]  46626
[61]  55632 [62]  73188 [63]  95988 [64]  105450 [65]  103056 [66]  101346
[67]  74328 [68]  53352 [69]  33630 [70]  14592 [71]  6498 [72]  1596
[73]  228 [74]  342 [75]  6 [76]

```

## q=8

```q=8 k=5 n=95 d=78
(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]:[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]:
[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]:[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[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]:[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]:[0,0,0]:[1,0,1]:[1,1,0]:
[1,1,0]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,1]:[0,1,1]:[1,0,1]:[1,0,1]:[1,1,1]:
[1,1,1]:[0,0,0]:[1,1,1]:[0,1,0]:[0,1,1]:[1,1,0]:[1,1,1]:[1,1,1]:[0,0,0]:
[1,1,1]:[1,1,1]:[0,0,1]:[0,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,1,1]:[0,1,1]:
[1,0,1]:[1,1,0]:[1,1,0]:[1,1,1]:[0,0,1]:[0,0,1]:[0,1,0]:[1,0,1]:[1,1,0]:
[1,1,0]:[1,1,1]:[1,1,1]:[1,1,1]:[0,1,0]:[1,0,0]:[1,0,0]:[1,0,1]:[1,1,0]:
[0,0,1]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,1]:[1,0,1]:[1,1,0]:[1,1,1]:[0,0,0]:
[0,1,0]:[0,1,1]:[0,1,1]:[1,0,1]:[1,1,0]:[1,1,0]:[0,0,1]:[0,0,1]:[0,1,0]:
[0,1,1]:[0,1,1]:[1,0,1]:[1,0,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,1]:[1,0,0]:
[1,0,1]:[1,0,1]:[0,1,0]:[0,0,1]:[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]:[1,1,0]:[0,0,1]:[0,0,1]:[0,0,0]:
[0,0,1]:[0,0,1]:[1,0,1]:[1,0,0]:[1,0,1]:[1,1,0]:[1,0,1]:[1,0,1]:[0,1,1]:
[1,0,0]:[1,1,1]:[0,1,1]:[1,0,0]:[1,0,0]:[0,1,1]:[0,0,1]:[1,0,0]:[1,1,1]:
[1,0,0]:[1,0,1]:[0,1,1]:[0,0,0]:[0,1,1]:[1,0,0]:[0,1,1]:[0,1,0]:[1,0,1]:
[0,0,1]:[0,0,0]:[1,1,1]:[0,1,0]:[0,0,0]:[0,0,1]:[1,0,1]:[1,0,1]:[0,1,1]:
[1,0,1]:[0,0,1]:[1,0,1]:[1,1,0]:[1,1,1]:[1,1,0]:[1,1,1]:[0,0,0]:[0,1,1]:
[0,0,0]:[0,0,1]:[1,1,0]:[0,0,1]:[0,1,1]:[1,0,1]:[0,1,0]:[1,0,1]:[0,0,0]:
[1,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:[0,0,1]:[0,0,0]:[0,1,0]:[1,0,1]:[0,1,1]:
[0,0,1]:[0,0,1]:[1,0,0]:[1,1,1]:[0,1,0]:[0,1,1]:[0,1,0]:[0,0,1]:[0,1,0]:
[0,0,0]:[1,0,0]:[0,0,0]:[0,0,0]:[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]:[0,0,0]:[0,1,1]:[0,1,1]:[1,1,0]:
[0,0,1]:[0,1,0]:[1,0,0]:[0,1,1]:[1,0,0]:[1,1,1]:[1,0,0]:[1,1,0]:[1,1,1]:
[1,1,1]:[0,0,1]:[0,1,1]:[1,1,1]:[0,1,0]:[0,0,0]:[0,1,1]:[0,1,0]:[1,1,1]:
[1,0,1]:[0,1,1]:[1,0,1]:[1,0,0]:[0,0,0]:[0,0,1]:[1,0,0]:[1,1,1]:[1,1,1]:
[1,0,0]:[1,1,1]:[0,1,0]:[1,1,1]:[1,1,1]:[1,1,0]:[1,1,1]:[0,0,1]:[1,0,0]:
[1,0,1]:[1,0,1]:[0,0,1]:[1,0,1]:[0,1,1]:[1,0,0]:[0,1,1]:[1,1,0]:[0,0,1]:
[0,0,0]:[0,0,0]:[0,0,0]:[1,0,0]:[1,0,0]:[1,1,1]:[0,0,0]:[1,1,1]:[0,0,0]:
[1,1,1]:[0,1,0]:[1,0,0]:[1,0,1]:[1,0,0]:[1,0,0]:[0,0,0]:[0,1,0]:[1,1,0]:
[0,0,0]:[1,1,0]:[0,1,1]:[1,1,1]:[0,1,1]:[1,0,1]:[1,1,1]:[1,0,0]:[0,0,1]:
[0,0,1]:[0,0,1]:[0,1,0]:[1,1,0]:[0,1,0]]
[[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]:[1,1,0]:[1,1,0]:[0,0,0]:[0,1,1]:
[0,1,1]:[0,1,0]:[1,0,1]:[0,1,1]:[0,0,1]:[0,0,0]:[0,1,1]:[1,1,1]:[1,1,0]:
[1,0,1]:[1,1,0]:[0,0,0]:[1,0,0]:[1,0,1]:[0,1,1]:[1,1,0]:[1,1,1]:[1,1,0]:
[0,1,1]:[1,0,0]:[0,1,0]:[0,0,1]:[0,0,1]:[1,0,0]:[0,1,0]:[0,1,1]:[0,0,0]:
[0,1,1]:[0,1,0]:[0,1,0]:[0,1,0]:[0,1,0]:[1,1,0]:[0,1,1]:[0,0,0]:[0,0,1]:
[0,1,1]:[0,0,1]:[1,0,0]:[1,1,0]:[1,0,0]:[1,1,0]:[1,1,0]:[1,1,0]:[1,0,0]:
[1,0,0]:[0,1,1]:[1,1,0]:[0,0,0]:[1,0,1]:[1,0,1]:[0,1,1]:[0,1,1]:[0,1,0]:
[1,1,1]:[1,1,0]:[0,0,0]:[1,0,1]:[1,1,1]:[0,0,1]:[1,1,0]:[1,0,0]:[1,1,0]:
[0,1,0]:[0,0,1]:[1,1,0]:[0,0,0]:[1,1,1]:[1,0,0]:[1,0,0]:[0,1,1]:[0,1,1]:
[1,1,1]:[1,0,1]:[0,0,0]:[0,0,1]:[1,1,1]]

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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
,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
,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
,0,0,0,1,1,0,1,0]
mindist=78
weight enumerator=1 [0]  3689 [78]  5341 [80]  7056 [82]  7700 [84]  4557 [86]  3430 [88
]  882 [90]  112 [92]

```
```q=8 k=5 n=102 d=84
(using automorphisms)

code with group 60971

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

corresponding to the solution:
[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1
,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
,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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]
mindist=84
weight enumerator=1 [0]  3703 [84]  5418 [86]  5775 [88]  8610 [90]  5061 [92]  2688 [94
]  1092 [96]  378 [98]  42 [102]

```
```q=8 k=6 n=30 d=21
(using automorphisms)

code with group 127978

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

corresponding to the solution:
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mindist=21
weight enumerator=1 [0]  2527 [21]  5782 [22]  11760 [23]  23569 [24]  36358 [25]  59584
[26]  53704 [27]  45766 [28]  17507 [29]  5586 [30]

```
```q=8 k=6 n=41 d=30
(using automorphisms)

code with group 127804

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

corresponding to the solution:
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]
mindist=30
weight enumerator=1 [0]  1911 [30]  5880 [31]  12495 [32]  15435 [33]  27538 [34]  40425
[35]  51590 [36]  47285 [37]  35035 [38]  16807 [39]  6566 [40]  1176
[41]

```
```q=8 k=6 n=91 d=72
(using automorphisms)

code with group 126931

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

corresponding to the solution:
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mindist=72
weight enumerator=1 [0]  6930 [72]  12572 [74]  34937 [76]  47922 [78]  71904 [80]  51352
[82]  27895 [84]  7546 [86]  1085 [88]

```

## q=9

University of Bayreuth -