new linear codes from 250209

binary:
ternary:3 improvement + 6 derived
q=4 :1 optimal + 6 improvements + 11 derived
q=5:
q=7:
q=8:2 improvements + 1 derived
q=9:

binary q=2

ternary q=3

q=3 k=8 n=123 d=75 
(extension of a code using automorphisms)
( link )

generator matrix:
generator matrix:
000011110111111100111111000001110101110011111100011111011111110111111101111111000111110000111100111111011100000111000011110
011100011011112211022222000111221211120000112201101222101122220011112210011222011012221111012201001112022200111001011100001
101222212100021112100022000111221211120102220211212022122201121012221200212002001100121222000212010022000001122020102200010
221011111100200212201211111122121211121220221212200112122201121110011112221001121020110001122001220220101210002022011100001
101000112212210201221112012121002122210102002120112101020101100221101200002022221002212011221210011101000000102210100112221
212101100201010100122102002102101200211112021110111011221020121200212222020221121020112210020022120000221000021212211210121
022211102020021020200022012122112220022220001210202221122102200010101110211111012220121212021210200101120102001210202212021
100012122012000012012022110111111001020110001010202010002212022211012110121121200222001000102000210021101202010001212022122
mindist=75
weight enumerator=1 [0]  1112 [75]  1384 [78]  1050 [81]  1258 [84]  964 [87]  548 [90]  
228 [93]  16 [96]  
This is a self-orthogonal code

q=3 k=8 n=226 d=144 
( using automorphisms)
( link )

code with group 1009 

generator matrix:
0000111111111111000111111111111100000011111111110000000111111111110000111111111111000000111111111100001111111111110000001111111111000111111111111100000011111111110000001111111111000000111111111100000011111111110000001111111111
0111000111111222111000111112222201111100111122220000111001122222120111000001111122111111000011122201110000011222220111110011112222111000112222222200001100000122220111110001111122000011000000112201111100000111120001110001111122
1012112000112112011122001120011210111201022200120111111010200012021001000000012222001222001101101210010011212001220001120001120012012002020111112211112201122101111000110220111201011112000122010110011100002012201110010121112200
2011221001222012200001020101201211002001212201220011022101200122022111001120111212021122010122212221101201010010120110212220100222221011010001221101120022212010120002000121011100100211012012220000111200120222221121222220111202
2200002001222201201001111021002202012020020002021102102002100102221222220122002022210011121222201111211120201021201110021112221220221010220012001220210021102120200221221201011122100200120120222211112002112000022211021112022110
2012120021000102200100110102011022112002010121101020110102002121010021112000112202220222200011202020200220121001121022211112000201211200000021020100110110201222222111120022112021001020212222200110121011222120000021012111010122
1011210010001022100202000210022021120122000121002102020012101010220121222120011202210211220101000211211022101010220000210001001222200021122002201101010202221100121002201101101102201112011021121221112111012022200001111111002101
0101211221022110212110202210000011221022020210122102200011201001000210011200200222202112111200121000001212211122121002011220011200100200122111112112022111122122211021011201202211020200101022000022110102202220110220122122011102
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0]
mindist=144
weight enumerator=1 [0]  2840 [144]  2676 [153]  932 [162]  112 [171]

q=3 k=9 n=214 d=132
( using automorphisms)
( link )

code with group 135050 

generator matrix:
0000000001111111000000111111111100000001111111111101110001111111111111000001111111111100001111111111110000111111111111000001111111111100000111111111110000000111111111000000000001111100000011111111110000000001111111
0001111110000222000111001112222200011110001122222200220010000001111222001110000000112200010000011111220011000011111122000110001111222200111000001111220001111001111222000011111111122200111100000122220011111111111222
0010111110001122111111020110112211100220110101222210220110000121222012110220012222120200110000100222121112011200012202011021120011000211012001120002121110222220022011111101122221100111222211112200010001112220111001
0101000221122012222002200120012201212111122101122212021200012020112022002011120122211111000022022011000200201200210210112110211202012000000000210012000121011012201112122221111222222112001201120200211110020112002120
0120112020011100012012212120110212212012011222010022101101120121221200012020111122101011202222012102120201222022101002200220012112022201122022110211222121200222201021001110202120102212010010001111100210201020122001
1200221002211022100120222220222220101021001201102212121010202212011121001121110101012212220212121201220010220200101112101012001021100021010021112000001102002010210121100220211002002022200100122002000121212202022102
0100110000010000002122122212122220011201200001120000102100101222202101002100100111201102101121222122111020011201022010002120111002010221020221012002001002021121022002002100212021210022212002221021211120022001110122
2010002220222221112120200021001112201200202122120010200201221010010221102112002001202022100200101102211011222122100210210002212020001201021001001022211220010212101220112220202120110100112022110112011021000021121011
0010121111010011020002221010122222201202012000001112100021210210122010220100221211110121000010110212001200100212210221221000111020022000212100102220110102200221110200101112221200000122021212112110010111001012220202
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
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
,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
,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=132
weight enumerator=1 [0]  2080 [132]  2192 [135]  2324 [138]  3208 [141]  3472 [144]  2320
 [147]  2072 [150]  944 [153]  800 [156]  128 [159]  78 [162]  64 [165
]

q=4

q=4 k=6 n=177 d=128 
( using automorphisms)
( link )

code with group 82967 

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

corresponding to the solution:
[1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0
,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0]
mindist=128
weight enumerator=1 [0]  1809 [128]  432 [132]  1368 [136]  432 [140]  54 [160]

q=4 k=7 n=36 d=22 
( using automorphisms)
( link )

code with group 33652 

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

corresponding to the solution:
[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
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
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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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,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=22
weight enumerator=1 [0]  1176 [22]  2688 [24]  3984 [26]  4548 [28]  3288 [30]  687 [32]  
12 [36]

q=4 k=7 n=49 d=32 optimal
(extension of a code using automorphisms)
( 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]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[0,0]]
[[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[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]:
[0,0]]
[[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]:[1,1]:[1,1]:[1,1]:
[1,0]:[1,0]:[1,0]:[0,1]:[0,1]:[0,1]:[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]:
[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]:
[0,1]:[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]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:
[0,0]]
[[0,1]:[1,0]:[1,1]:[0,1]:[1,1]:[1,0]:[1,0]:[0,1]:[1,1]:[1,1]:[1,0]:[0,1]:
[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[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]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:
[1,1]]
[[1,1]:[1,0]:[0,1]:[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]:[1,0]:[0,1]:[1,1]:
[1,1]:[1,0]:[0,1]:[0,1]:[1,1]:[1,0]:[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:
[1,1]:[0,1]:[1,0]:[0,1]:[1,0]:[1,1]:[1,0]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:
[0,0]]
[[0,0]:[0,0]:[0,0]:[1,0]:[0,1]:[1,1]:[0,1]:[1,1]:[1,0]:[1,1]:[1,0]:[0,1]:
[1,1]:[1,0]:[0,1]:[1,0]:[0,1]:[1,1]:[0,1]:[1,1]:[1,0]:[0,1]:[1,0]:[1,1]:
[1,0]:[1,1]:[0,1]:[1,1]:[0,1]:[1,0]:[0,1]:[1,1]:[1,0]:[1,0]:[0,1]:[1,1]:
[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]]

mindist=32
weight enumerator=1 [0]  2529 [32]  2016 [34]  4800 [36]  1728 [38]  4440 [40]  864 [42]  
6 [48]

q=4 k=7 n=55 d=36
(computed using a programm of Johannes Zwanzger)
( link )

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

mindist=36
weight enumerator=1 [0]  1977 [36]  2124 [38]  4356 [40]  1800 [42]  4068 [44]  1836 [46
]  219 [48]  3 [52]

q=4 k=7 n=100 d=68
( using automorphisms)
( link )

code with group 79417 

generator matrix:
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corresponding to the solution:
[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
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,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]
mindist=68
weight enumerator=1 [0]  2310 [68]  4275 [72]  5700 [76]  3423 [80]  630 [84]  45 [88]

q=4 k=7 n=116 d=80
(computed using a programm of Johannes Zwanzger)
( link )

generator matrix:
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mindist=80
weight enumerator=1 [0]  2430 [80]  4770 [84]  4920 [88]  3030 [92]  1185 [96]  45 [100]  
3 [116]

q=4 k=7 n=187 d=132 
(extension of a code using automorphisms)
( link )

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

mindist=132
weight enumerator=1 [0]  2637 [132]  3399 [136]  4950 [140]  1995 [144]  2670 [148]  549
 [152]  180 [156]  3 [180]

q=5

q=7

q=8

q=8 k=5 n=100 d=82 
( using automorphisms)
( link )

code with group 125236 

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

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
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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
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=82
weight enumerator=1 [0]  1764 [82]  1666 [83]  3626 [84]  2940 [85]  3626 [86]  3626 [87
]  3234 [88]  3038 [89]  2989 [90]  1680 [91]  2352 [92]  980 [93]  686
 [94]  294 [95]  147 [96]  98 [97]  7 [98]  14 [99]

q=8 k=5 n=130 d=108
( using automorphisms)
( link )

code with group 107997 

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

corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0]
mindist=108
weight enumerator=1 [0]  3262 [108]  1190 [109]  3087 [110]  882 [111]  5208 [112]  1176
 [113]  5635 [114]  1274 [115]  4851 [116]  1764 [117]  1176 [118]  588
 [119]  1029 [120]  294 [121]  882 [122]  441 [124]  7 [126]  21 [130]

new linear codes from 250209

binary q=2

ternary q=3

q=4

q=5

q=7

q=8

q=9