new linear codes from 170812

• binary: 1 new + 1 derived
• ternary: 2 new + 4 derived
• q=4: 1 new optimal + 9 new + 24 derived
• q=5:
• q=7: 1 new optimal + 1 new
• q=8:2 new + 2 derived
• q=9: 3 new

binary q=2

q=2 k=16 n=111 d=44  


(using automorphisms)
( link )

code with group 1989

generator matrix:
000000011111111000000011111111000000111111111011000000000001111000000011111111000000000011111000000001111111001
000011101111111000111100001111001111000001111101000000001110111000111100001111000000111101111000011110001111011
000001110001111011011100110011010011111111111111000111110011011011111101110001001111011100001000101110110000000
000010100010011001101101011101100101000110001111111001111110101001001100010110111111100010110001000111000011000
011100110100111100001111000101000110111010010010011110010101110100000100100010010011100011010011111011011101100
100111101000011110000100000100100010001000101110111000111001010000011101011101100111111100010100010101101100010
001001101000101000111110100011110011000110010101011000111111011100000100100010100001000000001010100110101100100
000101001101011010011111111110111000111101001100101011100000110010011001000000111111100001001110100111101111001
011001111001100001000110001000000000111111111011101100001110110110100100110011101000001110000101000111000101001
111010011010101101101100000011011011000000111001010101000100010101111100100100001101101100001000010011011011010
100100010011110110001101000011011111110100010100010010110101100100000010110000101011011100011010111100100100001
011000010111100010101100010110100001011000010010111100111110110000010010001001001010100111111100101110001100100
110011111001101110110011111010011001010100101011011100000000100101010111001111001101101001100100111000101111001
011000001000011010000011001111101010011101011111011001111001011110000000111111110111001110100000111101010001111
001010001100111011001111010000111001010000100001101100001100011110000110101101000010101101001111011000100110101
110101001111011000000010101100011011001110110000111010000111111001001001001000101111101110000111010111100111111
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
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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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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
,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]
mindist=44
weight enumerator=1 [0]  2355 [44]  7405 [48]  15213 [52]  19905 [56]  13765 [60]  5673 [64
]  1083 [68]  135 [72]  1 [96]  

ternary q=3

q=3 k=9 n=134 d=81


(using automorphisms)
( link )

code with group 138278




generator matrix:
00000011111110001111111111000111111111100000011111110001111111111000111111111100001111111110000001111111000111111111100011111111110000
01111100112220110000001122001000011112201111100011221110001111222001000011112201110000011220111110011222001000001111201100000011221110
10011122010221220011220212110001100021200001201211021120010011111012000111221111120001101000011220211000012011220001010100011202002101
11200022101122221201222122011012202221210022212222100211210200001120122011001111100120201121000122112122121000000000121011101000010122
11011212111121002012022222212202201102121201102101212211011202012122102112121102200020101020011011102100211012220022202112212110010122
00200201201220120120020021202101220222111001001211222212121210000202212201022200122221221002112020021112120100120121110010220221000122
11222201220201111121211122100212222000021112021102101211100212202222200012222201102121022112002021222211211221020220212021022220101021
10102212202202122200021111001120121022120222211021200121221021110210011212100122221010212021120121120020102222102210111220022011111110
21201001200021122201101120102020221212211101111020121201121012010122012001222110201001020110010100201221021021220121221200122111202220
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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
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,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
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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
,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1]
mindist=81
weight enumerator=1 [0]  3554 [81]  1794 [84]  9490 [90]  2418 [93]  2262 [99]  156 [102
]  2 [117]  6 [120]  

q=3 k=9  n=158 d=96


(using automorphisms)
( link )

code with group 59167

generator matrix:

00000000111111111111111100000000111111111111111100000000001111111111111100000000000111111111111100000001111111111111111101100000000011111111111111100110010111
00000111000001111222222200111111000111111222222200111111110000111111222201111111111000011111112200011110000000001111122202201111111100000001111112201121111001
01111011001121112000122201000122122011122122222201001222220002012222001210001122222002200111220200001110011222220012201210210001112201122220001120100111210111
10222102220120120022122201022122202001201001122200000000120122210112120110110100112001212001122111100010012000221121222122010112222210200010120212201011021220
21012121012212021101222202000102121001201201100211021112121101202121121211021101122121110012210211210221111012010220122002220010120220112202222100210201112011
00100010221212011202012211012020100122202121201002010221012211222020002102010201221111021210110012121022200221022122122011011222111202121210010122121112012212
02211021011100210002000110210100112022112111101100220021012102001102012010222121202001121101202100200000101022012210221112122210012210121121212002210011202122
12202122100100100211022120221100002112010210210200010000012020121002110022112212022102212110002010011002110110121222100112120020100211211212120002200001200000
22012220202002111012011001011201202000000002122111112101210022112210000011001101221021221101210201221112102001122110100021211221120201120220112210222121010102
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,1,0,0,1,0,0,0]
mindist=96
weight enumerator=1 [0]  2472 [96]  3048 [99]  6288 [105]  4286 [108]  2904 [114]  684 [117
]  

q=4

q=4 k=6 n=112 d=80  optimal


(using automorphisms)
( link )

code with group 35205



generator matrix:

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

corresponding to the solution:
[0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
,0,0,0,0,0,0,0,0]
mindist=80
weight enumerator=1 [0]  1650 [80]  1392 [84]  576 [88]  384 [92]  45 [96]  48 [100] 

q=4 k=9 n=40 d=22  


(using automorphisms)
( link )

code with group 127253

generator matrix:

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

corresponding to the solution:
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mindist=22
weight enumerator=1 [0]  1785 [22]  8523 [24]  24582 [26]  54663 [28]  76482 [30]  62910
 [32]  26502 [34]  6153 [36]  537 [38]  6 [40]  

q=4 k=7 n=121 d=84  


(using automorphisms)
( link )

code with group 79416

generator matrix:

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corresponding to the solution:
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,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
,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0]
mindist=84
weight enumerator=1 [0]  3045 [84]  4260 [88]  5100 [92]  2715 [96]  1260 [100]  3 [116]  

q=4 k=8 n=157 d=108 

(computed with a program of Johannes Zwanzger)
( link )

generator matrix:

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[1,1]]

mindist=108
weight enumerator=1 [0]  5448 [108]  12201 [112]  15204 [116]  17850 [120]  11067 [124]  
3276 [128]  483 [132]  3 [148]  3 [156]  

q=4 k=8 n=190 d=132  


(using automorphisms)
( link )

code with group 126076

generator matrix:

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

corresponding to the solution:
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,0,0,0]
mindist=132
weight enumerator=1 [0]  5439 [132]  10227 [136]  15246 [140]  15960 [144]  11583 [148]  
5418 [152]  1596 [156]  63 [160]  3 [168]  

q=4 k=9 n=199 d=136 


(using automorphisms)
( link )

code with group 129961

generator matrix:

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

corresponding to the solution:
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mindist=136
weight enumerator=1 [0]  10215 [136]  21240 [140]  44448 [144]  66672 [148]  62064 [152]  
39090 [156]  15135 [160]  2565 [164]  681 [168]  30 [172]  3 [196]  

q=4 k=8 n=221 d=154  


(using automorphisms)
( link )

code with group 126076


generator matrix:

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

corresponding to the solution:
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,0,0,0]
mindist=154
weight enumerator=1 [0]  3024 [154]  2730 [156]  5313 [158]  4536 [160]  9366 [162]  4545
 [164]  9240 [166]  4473 [168]  8442 [170]  4158 [172]  5271 [174]  1386
 [176]  2016 [178]  567 [180]  336 [182]  126 [184]  3 [192]  3 [200]  

q=4 k=9 n=222 d=152  


(extension of a code using automorphisms)
( link )


generator matrix:

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mindist=152
weight enumerator=1 [0]  8109 [152]  18558 [156]  36174 [160]  55926 [164]  66330 [168]  
46575 [172]  21780 [176]  7020 [180]  1440 [184]  225 [188]  3 [192]  3
 [200]  

q=4 k=9 n=233 d=160


(using automorphisms)
( link )

code with group 129963

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

corresponding to the solution:
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,0,0]
mindist=160
weight enumerator=1 [0]  7245 [160]  18675 [164]  36900 [168]  52881 [172]  63981 [176]  
47790 [180]  24138 [184]  8685 [188]  1575 [192]  270 [196]  3 [228]  

q=4 k=9 n=244 d=168


(using automorphisms)
( link )

code with group 129963

generator matrix:

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

corresponding to the solution:
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,0,1]
mindist=168
weight enumerator=1 [0]  7650 [168]  18459 [172]  32808 [176]  54906 [180]  61605 [184]  
49263 [188]  23181 [192]  11925 [196]  2160 [200]  180 [204]  3 [228]  
3 [232]  

q=5

q=7

q=7 k=4 n=61 d=50  optimal


(using automorphisms)
( link )

code with group 51998

generator matrix:
0000000001111111111111111111111111111111111111111111111111111
0101111110101112123343444555565664636362606252525240404040302
1010124241010121213434344555656566463636260525252424040403020
0011542630033511444002246056224440033115500664433225533116622
corresponding to the solution:
[0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0]
mindist=50
weight enumerator=1 [0]  468 [50]  816 [51]  330 [52]  324 [53]  150 [54]  30 [55]  18 [56
]  48 [57]  96 [58]  72 [59]  48 [60]  

q=7 k=7 n=77 d=57  

(using automorphisms)
( link )

code with group 693

generator matrix:
00001111111111111111111111111111111111000000111111111111111111111111111111111
01110000001111222333334444555566666666011111000001112222222333333344455566665
11231122351235236224664455004502345556012455023563350134666001123401402612553
24522526534124143162141223166506241243154044623402443431126163503324002523255
60051540240534224433563460362616520352666556212365364050600243256326054226004
33516653403666055113401502145321601540402606634245235130065503452633330363210
10112151533111116300341321330546261403514616364336560330155122455603154433316
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=57
weight enumerator=1 [0]  3420 [57]  5016 [58]  12540 [59]  18924 [60]  24510 [61]  37848
 [62]  61104 [63]  88464 [64]  99180 [65]  102372 [66]  99864 [67]  91200
 [68]  80256 [69]  43320 [70]  34200 [71]  13908 [72]  4788 [73]  2508
 [74]  120 [77]  

q=8

q=8 k=5 n=111 d=92  


(using automorphisms)
( link )

code with group 93405
generator matrix:

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

corresponding to the solution:
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=92
weight enumerator=1 [0]  5502 [92]  3024 [94]  8463 [96]  4872 [98]  6888 [100]  2688 [102
]  1008 [104]  168 [106]  154 [108]  

q=8 k=5 n=125 d=104


(using automorphisms)
( link )

code with group 60060


generator matrix:

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

corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,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
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=104
weight enumerator=1 [0]  5985 [104]  13160 [108]  10255 [112]  3080 [116]  287 [120]  

q=9

q=9 k=6 n=75 d=59


(using automorphisms)
( link )

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

corresponding to the solution:
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mindist=59
weight enumerator=1 [0]  3480 [59]  6688 [60]  10880 [61]  16200 [62]  31240 [63]  41040
 [64]  59968 [65]  72920 [66]  76600 [67]  75960 [68]  55600 [69]  44720
 [70]  22680 [71]  8880 [72]  3880 [73]  560 [74]  144 [75]  

q=9 k=6 n=103 d=83  


(using automorphisms)
( link )

code with group 4

generator matrix:

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

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mindist=83
weight enumerator=1 [0]  3976 [83]  4960 [84]  8720 [85]  18560 [86]  25640 [87]  32880 [88
]  38560 [89]  54240 [90]  64680 [91]  65696 [92]  60432 [93]  56800 [94
]  41960 [95]  28000 [96]  15120 [97]  7680 [98]  2120 [99]  960 [100]  
400 [101]  8 [102]  48 [103]  

q=9 k=6 n=124 d=101  


(using automorphisms)
( link )

code with group 4
generator matrix:

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

corresponding to the solution:
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mindist=101
weight enumerator=1 [0]  3040 [101]  6320 [102]  10416 [103]  12248 [104]  20800 [105]  25280
 [106]  35600 [107]  50640 [108]  51600 [109]  55360 [110]  62800 [111
]  53120 [112]  51056 [113]  36912 [114]  23120 [115]  18320 [116]  9360
 [117]  3520 [118]  1280 [119]  520 [120]  80 [121]  48 [124]