new codes from 231108

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

binary q=2

q=2 k=10 n=158 d=74 
(using automorphisms)
( link )

code with group 39865 

generator matrix:
00000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111
00000000000000000000000000000000000000000011111111111111111111111111111111111111110000000000000000000000000000000000000000111111111111111111111111111111111111
00000000011111100011111100011111100011111100000000000000001111110001111110001111110000000000000000111111000111111000111111000111111000111111000111111000111111
00000011100011111100011111100011111100011100000000000001110001111110001111110001110000000000000111000111111000111111000111111000111111000111111000111111000111
00000001101101101101101101101101101101101100000001111110000000000110110110110110110011000111111011011011011011011011011011000000000011011011011011011011011011
00000010110110110110110110110110110110110100001110001110000000001011011011011011010101111000111101101101101101101101101101000000000101101101101101101101101101
00001110101111010101111001111010101111010100110110110110110110110111101011101010110000011011011000000000101011110011110101011011011000000000101011110110101011
00010111010101111010101110101111010101111001011011011011011011011010111100111101010000101101101000000000110101011101011110101101101000000000110101011011110101
01100001110111011001110101110111010111001100001010111101101010111100111010000000000000110101011110011101000000000011101110101011110101110011101110011000000000
10100010111001101110111010111001111001110100000111101010111101010111011100000000000000101011110011101110000000000101110011110101011110011101110011101000000000
corresponding to the solution:
[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0
,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0
,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0]
mindist=74
weight enumerator=1 [0]  363 [74]  164 [76]  84 [78]  25 [80]  216 [82]  36 [84]  12 [86
]  6 [88]  75 [90]  24 [92]  18 [98]  

q=2 k=10 n=161 d=76 
(using automorphisms)
( link )

code with group 39865 

generator matrix:
00000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111
00000000000000000000000000000000000000000000011111111111111111111111111111111111111110000000000000000000000000000000000000000111111111111111111111111111111111111
00000000000011111100011111100011111100011111100000000000000001111110001111110001111110000000000000000111111000111111000111111000111111000111111000111111000111111
00000000011100011111100011111100011111100011100000000000001110001111110001111110001110000000000000111000111111000111111000111111000111111000111111000111111000111
00000001101101101101101101101101101101101101100000001111110000000000110110110110110110011000111111011011011011011011011011011000000000011011011011011011011011011
00000010110110110110110110110110110110110110100001110001110000000001011011011011011010101111000111101101101101101101101101101000000000101101101101101101101101101
00001100010101111010101111001111010101111010100110110110110110110110111101011101010110000011011011000000000101011110011110101011011011000000000101011110110101011
00010100011010101111010101110101111010101111001011011011011011011011010111100111101010000101101101000000000110101011101011110101101101000000000110101011011110101
01100000001110111011001110101110111010111001100001010111101101010111100111010000000000000110101011110011101000000000011101110101011110101110011101110011000000000
10100000010111001101110111010111001111001110100000111101010111101010111011100000000000000101011110011101110000000000101110011110101011110011101110011101000000000
corresponding to the solution:
[1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0
,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0
,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0]
mindist=76
weight enumerator=1 [0]  527 [76]  109 [80]  252 [84]  18 [88]  99 [92]  18 [100]  

q=2 k=13 n=74 d=30
(using a program by Johannes Zwanzger)
( link )


generator matrix:
00000000000001111111111111111111111111111111111111100000000000000000000011
00000000000110111111111111111000001111100000111110011111111110000011111000
00000000001010111111111111111111110000011111000000011111111111111100000000
00000000011111000111111100011001110011100011000110100011111110001100011011
00000000101111011001111100101010110101100101011001001100111110010101100101
00000001001111101010111101100110010110111000101000111101001110101010100101
00000010001111101101011111000110101010101010000111010111010111001001001110
00000100001111111100101110010011101110000101010010110110111010110001010110
00001000001111111110010100011101100111010100101001011110101100100110001011
00010000001111111111001000101100111101001010100100111011100111010000101101
00100000001111110111100101100101011100100011010011001111110010011010010101
01000000001111011111110011000111001001110100011000111101111001000111000110
10000000001111110011111010010011011011011000100101011011011101100000110110
mindist=30
weight enumerator=1 [0]  672 [30]  1454 [32]  1024 [34]  2112 [38]  1568 [40]  1024 [42]  
288 [46]  48 [48]  1 [64]  

q=2 k=13 n=77 d=32 optimal
(extension of a code with  automorphisms)
( link )


generator matrix:
00000000000001111111111111111111111111111111111111111111000000000000000000001
00000000000110111111111111111000001111100000111110000000111111111100000111110
00000000001010111111111111111111110000011111000000000000111111111111111000000
00000000011111000111111100011001110011100011000110011101000111111100011000111
00000000101111011001111100101010110101100101011000101110011001111100101011001
00000001001111101010111101100110010110111000101001100101111010011101010101001
00000010001111101101011111000110101010101010000111110010101110101110010010011
00000100001111111100101110010011101110000101010011011001101101110101100010101
00001000001111111110010100011101100111010100101000011110111101011001001100011
00010000001111111111001000101100111101001010100100101101110111001110100001011
00100000001111110111100101100101011100100011010011100110011111100100110100101
01000000001111011111110011000111001001110100011001110001111011110010001110001
10000000001111110011111010010011011011011000100101011010110110111011000001101
mindist=32
weight enumerator=1 [0]  1406 [32]  1024 [34]  720 [36]  2880 [40]  1024 [42]  800 [44]  
320 [48]  16 [52]  1 [64]  

q=2 k=13 n=176 d=80
(using a program by Johannes Zwanzger)
( link )


generator matrix:
00000000000000111111111111110000000000000011111111111111000000000011111111111111111100000000001111111111111111110000000000000011111111111111000000000000001111111111111100110011
00000111111111000001111111110000000111111100000001111111000111111100000000000111111100000111110000011111111111110000000000011100011111111111000000011111110000000111111101010101
00011000011111000010001111110000111000001101111110000111000111111100001111111000111100011000010011100000111111110001111111100100100000001111000011100011110111111001111101100110
00101011100111001110110011110011011011110010000110111111000011111101110111111001011100101001100101100011000011110010000011100001000011110011011101101100011000001110011100101101
01110100111000110100010000111101101001110110011001011011111100000110111000001011011111010010011100100100001100110000111101100111001100110101001100100100010000111010100101001011
01010011100011000000010001010001010001111100100011101011001000111110010011111000001101001010000100101001110100001100000111100110110100001110000100010100111111001100111001010101
00100101100101010101100110010001100100111011000010001111010001001111000000011010100111100100111011111101001001010101011000001111110011010101100100011101000011111100111000101101
00010000101111001001010011100100010110011001000101001101101110011001110001101010111001001100010101000111111000001101101001111110001001010110110100111001011001000001001011111111
01011100011010110010010001111101000111110110111010011011000011111010001110110101000110101010011100110100011100011110010000111000110101011010010010010001100101000101001010101010
01000100111011110000010011110011100101110001001110000111000000000101110011000010111001111101011001110011111100100111011111101111011111111010100000010010110110011110101110011001
01010111000001100110101011011011110100011001000010110110001110110101011010011000010101111111101011010010010111101010011001110111110011100111000110000001011011011101110100110011
10011010111101000011000010011001000001011001100111001110101100111110001000110111000110011100101011010010001001010011010110111110100001101001001000000101000101010001000001001011
01011101010011110010111011100010001011000010110101101011010011111010110011000010011101100001101010001001111010100101110111110100011111110101001000010000001010001001010000011110
mindist=80
weight enumerator=1 [0]  2695 [80]  2800 [88]  2695 [96]  1 [176] 

ternary q=3

q=3 k=7 n=160 d=102 
(using automorphisms)
( link )

code with group 470 

generator matrix:
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000
0001222200012222011111220111112200012222000011220000112211112222001200001122000111120001111211220000112201111122000011220001111101111111000111110000111100001111
0002111102200122000112020001120201110012001201020112111200110112002101220001000222210120011122111112120110012200011202000110011210111122011001121111012201111112
0121000210211211012011011120001100200112021100110022122002110020121200120222012000120200201102010220212000210222012011011110222220012202102112220112200210011120
0012012001210002111100020020212200200112022012020210202211020200121211212221020012012101222202011120001111000211221212111002100201020211200020212012022010011120
0200021111002200122020200211010120110020111210001001101211020200121200120222001021200112112102010011102110101102012011010012012001201102211102112012022021221222
1100101220220021220212122011020002220021122212202100020122001220001200001122202220102020221011221200201000212010000011221210110020100102210012021111201102222221
corresponding to the solution:
[0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1
,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
,0,0,0,0,0]
mindist=102
weight enumerator=1 [0]  824 [102]  576 [105]  184 [108]  288 [111]  148 [114]  130 [120
]  32 [123]  4 [126]  

q=3 k=8 n=168 d=105 
(computed by a program of Johannes Zwanzger)
( link )

generator matrix:
000000111111111100011111111111110001111111111111000000111111111100000011111111110000001111111111000000000111111100000011111111110111000000000111111100000011111111110110
011111000112222201100000011222221110001111122222011111001111222200111100001112220001110000001122001111111011122200111100000122221012000111111000112200001100000111121001
001222001220012210100112212000220111220011200112101112010222001200011100110020120110010000120112000000112002222211002201112211220222111011222001001200010200011011212112
100122012222221221212010202122122000010201012012110020012122012201211201000100021020100012000112011112120211211200000221122012110111002000112021220000111000101100222112
122011120221110120120121002011012010011110210022020120200200020212011000002010020100210002022020121222221102011000222102200001002210121111122020111011021122101011120220
212011102121210112022010020212022001001101020110221120020101211022022110222112122200100220222121211120101002101102000020100102112210120101012012022100100001212001221221
011212102202212200212000202002201002020002100220211201220001210000112110112100201022121000010222012201010002221121120020210010111120212001200221120012112020122222100220
022112012110110212110000200120122121102022100000112210220202101221201010012001100211122012002122120022021022002002201210201010011120120010122020200212221011102201010000
mindist=105
weight enumerator=1 [0]  1680 [105]  1076 [108]  800 [111]  1154 [114]  784 [117]  352 [120
]  712 [123]  2 [162]  

q=4

q=4 k=7 n=111 d=76
(using a program by Johannes Zwanzger)
( link )


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]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[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]:[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]:[0,0]:[0,0]:[0,0]:
[0,0]:[0,0]:[0,0]:[0,0]:[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]:[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:
[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:
[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:
[1,1]:[1,1]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:
[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:
[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[1,1]:
[1,1]:[0,1]:[0,1]]
[[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:
[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:
[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:
[1,1]:[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]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:
[1,0]:[1,0]:[1,0]:[0,1]:[0,1]:[0,1]:[1,1]:[1,1]:[1,1]:[1,0]:[1,0]:[1,0]:
[0,1]:[0,1]:[0,1]:[0,1]:[1,1]:[1,0]:[0,1]:[0,1]:[0,1]:[1,1]:[1,1]:[1,1]:
[1,0]:[1,0]:[1,0]:[1,0]:[1,0]:[1,0]:[0,1]:[0,1]:[0,1]:[1,1]:[1,1]:[1,1]:
[1,0]:[1,0]:[1,0]:[0,1]:[0,1]:[0,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:
[0,0]:[0,0]:[0,0]]
[[0,0]:[1,1]:[0,0]:[0,0]:[0,0]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,0]:
[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,0]:[0,0]:[0,0]:
[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[0,0]:[0,0]:[0,0]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[1,1]:[1,0]:[1,0]:
[0,0]:[0,0]:[1,1]]
[[1,1]:[0,0]:[0,1]:[1,0]:[1,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:
[0,1]:[1,1]:[1,0]:[1,0]:[0,1]:[1,1]:[1,1]:[1,0]:[0,1]:[0,1]:[1,1]:[1,0]:
[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:
[0,1]:[1,1]:[1,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:
[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:
[1,1]:[1,0]:[0,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:
[0,0]:[0,0]:[0,0]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:
[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,1]:[0,1]:[0,1]:
[1,0]:[1,0]:[1,1]]
[[0,0]:[0,0]:[1,0]:[0,1]:[1,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:
[1,1]:[0,1]:[1,0]:[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:
[1,0]:[1,1]:[0,1]:[0,1]:[1,0]:[1,1]:[1,1]:[0,1]:[1,0]:[1,0]:[1,1]:[0,1]:
[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:[0,1]:[1,0]:[1,1]:
[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:[1,0]:[0,1]:[1,1]:
[1,1]:[1,0]:[0,1]:[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]:[1,0]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:
[0,1]:[1,0]:[1,1]:[1,1]:[0,1]:[1,0]:[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:
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mindist=76
weight enumerator=1 [0]  1842 [76]  789 [78]  3537 [80]  1275 [82]  3651 [84]  1383 [86]  
2193 [88]  927 [90]  543 [92]  216 [94]  9 [96]  18 [98]  

q=4 k=8 n=218 d=152 
(extension of a code with  automorphisms)
( link )


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

mindist=152
weight enumerator=1 [0]  6174 [152]  5265 [156]  17220 [160]  11160 [164]  17226 [168]  5385
 [172]  2565 [176]  270 [180]  270 [184]  

q=5

q=7

q=8

q=9

q=9 k=4 n=108 d=93
(using automorphisms)
( link )

code with group 36280 

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

corresponding to the solution:
[0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
,0,1,0,1,0,0,0,0,0,1]
mindist=93
weight enumerator=1 [0]  2464 [93]  2400 [96]  992 [99]  608 [102]  96 [105]  

q=9 k=5 n=56 d=45 
(using automorphisms)
( link )

code with group 78530 

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

corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
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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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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,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
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
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mindist=45
weight enumerator=1 [0]  2608 [45]  3672 [46]  4608 [47]  6432 [48]  7968 [49]  9720 [50
]  8976 [51]  7896 [52]  4752 [53]  1936 [54]  336 [55]  144 [56]