new linear codes from 020209

• binary:
• ternary:
• q=4 :7 improvement + 15 derived
• q=5:
• q=7:1 improvement
• q=8:
• q=9:

binary q=2

ternary q=3

q=4

q=4 k=6 n=142 d=102
(using automorphisms)
( link )

code with group 36565 

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

corresponding to the solution:
[0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0
,0,0,0,0,0]
mindist=102
weight enumerator=1 [0]  444 [102]  576 [103]  756 [104]  612 [105]  450 [106]  396 [107
]  171 [108]  60 [110]  120 [112]  84 [113]  18 [114]  36 [115]  9 [116
]  36 [118]  144 [119]  111 [120]  72 [121]  

q=4 k=8 n=152 d=104
(extension of a code using automorphisms)
( link )

generator matrix:
[[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]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[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]:
[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]:[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]:[1,1]:[1,1]:
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[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]]
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[[0,0]:[0,0]:[0,1]:[1,1]:[0,0]:[0,0]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:
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[0,0]:[0,0]:[0,1]:[0,1]:[0,1]:[1,1]:[0,0]:[1,0]]
[[0,0]:[0,0]:[1,0]:[0,1]:[0,0]:[0,1]:[1,0]:[1,0]:[0,1]:[1,0]:[1,1]:[0,0]:
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[0,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,0]:[1,1]:[1,1]:[1,1]:[0,0]:[1,0]:
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mindist=104
weight enumerator=1 [0]  4545 [104]  11595 [108]  15654 [112]  18315 [116]  11535 [120]  
3525 [124]  315 [128]  45 [132]  6 [136]  

q=4 k=8 n=174 d=120
(using automorphisms)
( link )

code with group 125961 

generator matrix:
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corresponding to the solution:
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mindist=120
weight enumerator=1 [0]  4845 [120]  10050 [124]  15354 [128]  17070 [132]  12180 [136]  
4950 [140]  993 [144]  90 [148]  3 [168]  

q=4 k=8 n=185 d=128
(extension of a code using automorphisms)
( link )

generator matrix:
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mindist=128
weight enumerator=1 [0]  5355 [128]  9135 [132]  14670 [136]  16383 [140]  13014 [144]  5625
 [148]  1125 [152]  225 [156]  3 [168]  

q=4 k=8 n=202 d=140
(extension of a code using automorphisms)
( link )

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mindist=140
weight enumerator=1 [0]  4020 [140]  9045 [144]  13860 [148]  16107 [152]  12450 [156]  7170
 [160]  2475 [164]  405 [168]  3 [180]  

q=4 k=8 n=207 d=144
(using automorphisms)
( link )

code with group 125961 

generator matrix:
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corresponding to the solution:
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mindist=144
weight enumerator=1 [0]  4455 [144]  10290 [148]  13095 [152]  15111 [156]  13020 [160]  
7380 [164]  1725 [168]  459 [172]  

q=4 k=9 n=217 d=148
(using automorphisms)
( link )

code with group 127064 

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[1,1]]

corresponding to the solution:
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,0,0]
mindist=148
weight enumerator=1 [0]  4977 [148]  19341 [152]  37191 [156]  53949 [160]  65205 [164]  
48846 [168]  23877 [172]  7434 [176]  1134 [180]  189 [184]  

q=5

q=7

q=7 k=6 n=43 d=31
(using automorphisms)
( link )

code with group 127580 

generator matrix:
000001111111110111110111110111111
000010224466661011351023451023451
000100161426422213064501131465202
001000214315352231405422054140342
010000614126242604154110532326044
100000123415536240151432403205124
corresponding to the solution:
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mindist=23
weight enumerator=1 [0]  1674 [23]  3174 [24]  6810 [25]  10536 [26]  15528 [27]  22548 [28
]  23340 [29]  18936 [30]  10422 [31]  4140 [32]  540 [33]  

q=8

q=9