new linear codes from 160511

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

binary q=2

q=2 k=16 n=45 d=14  optimal


(using automorphisms)
( link )

code with group 2139


generator matrix:
010000000111111100000000011111000000011111110
000011111000011100000111100111001111100001111
000101111001111100011001101111000000100010000
000100001010101111101110100000000001101110011
001110010111100001110011110111110010100100100
010110101000011101111111001111000100001000010
010011001000010110110010110001001111011110100
000000101000101010010000100000111111100011101
000111111000100110111101010000001101010101001
001011111011100110111000101000010111011011000
000010111001010001111111101000000000010101011
010110100101010110101101010011100010011000011
001001000101101010111110110100110010000100111
011010110110100011000101110101010010101100001
010101110111100100010010001001011111110011001
111111111111111111111111111111111111111111110
corresponding to the solution:
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]
mindist=14
weight enumerator=1 [0]  911 [14]  2389 [16]  6132 [18]  11606 [20]  15658 [22]  14478 [24
]  8596 [26]  3913 [28]  1599 [30]  252 [32]  1 [44]  

q=2 k=16 n=82 d=32  optimal


(using automorphisms)
( link )

code with group 2140


generator matrix:
0001111000111100111110000111000001100001110000111100111110000011000001100111111100
0010011000011111001110011011000111100110110011011111000110111101001110101000110010
0110101011001100010111101111111011101011110101101111001001000000110010010111001111
0111101001010111110110111001011100101000111000010011010110111111110110111001001101
0111001001101100001011101001011100101100000110101001001111000111011101010010110000
1111011001101101101111111001101001100100110001000100101011001110100000110110111100
1001101001101101110010100000000000010100001000101011010100000111111100100000010011
1101101100111100011001011001101011011011011000100001110111011100011011100010001101
1100100100010110011010100111011010111010001110100000011011001101011000100001111101
1101100001111011001101011111000101001010000011011010010001001110010101101101010000
1100010111100100100010111001101111100010110111100000000101011010110100001100011101
1111111001111101111011110110101101011010101111111101101010011101100000011100100001
1000000011010010100111101100101111111101011111101000100001110111111110011011011101
0001101111001111011110100000001101110011110111000001000110111110001010010100111110
0001110000110101111101001111000011010111001011000111011000100010010101000011110001
1111111000000011111110000000111111100000001111111000000000000000111111111111111010
corresponding to the solution:
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mindist=32
weight enumerator=1 [0]  3998 [32]  2688 [33]  2464 [36]  5632 [37]  14512 [40]  16128 [41
]  5952 [44]  5632 [45]  4928 [48]  2688 [49]  800 [52]  112 [56]  1 [64
]  

q=2 k=17 n=86 d=32  


(using automorphisms)
( link )

code with group 127


generator matrix:
00000000000011111111100000000000011111111100000000011111111111100000000011111111111111
00011111111100000111100001111111100001111100001111100000111111100011111100000011111111
00100000011100001011100010001111101110011100110001100111000011100100011100001100111100
01100011100100011001100100110000100010101100000110101111000101100111111101111101011100
11101101101100101100101111010011100100111101011111001011111100100001100100010110111111
01101100100100001101101011100011011001101100011001010000001000101000001100001101100100
10000101111001110110110101110100001011011100101001010111001100111010110001101000101000
00111110001001100000111000111001000001001111100011000001010000111011101110010100100111
00100001010101001111110110111100101001100100011101110101100100010001000100010110100100
00011111111111100101101100110010110100010010001100011000001110000001111001111010010011
00100001010011100110010001000011000101100111101111011000001000010100000000001000011100
00010110001010000000010011001100110100000110000000110110101000111010000100101110000011
00100101011000011000010100001100000110110110111001100111011000100110110110011111110111
11010011110000011111011011011110000010011101100100011100011000001101110111011111101100
00101110001000100100101000000101100101010110011011111001111010101000100111110001011000
11100001111101110100110010100100000110110100000010010010010011010110011001010000101111
11111111111111111111100000000000000000000011111111111111111111111111111111111111111110
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]
mindist=32
weight enumerator=1 [0]  4095 [32]  11844 [36]  37940 [40]  45452 [44]  23254 [48]  7644
 [52]  756 [56]  84 [60]  2 [64]  

q=2 k=17 n=145 d=58  


(using automorphisms)
( link )

code with group 304


generator matrix:
0000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111011000000000000
0000000000000000000000000000000000000011111111111111111111111111110000000000000000000000000000111111111111111111111111111111111111001001011001001
0000000000000000001111111111111111111100000000000011111111111111110000000000001111111111111111000000000000000011111111111111111111100011001010010
0000000001111111110000000000000111111100000111111100000001111111110000011111110000000000011111000000011111111100000000011111111111001100000111010
0000111110000001110000011111111000001100011000111100001110000111110001100000110000111111100111001111100000000100000111100011111111110011011110101
0001001110001110110111100011111001110100101011011100110011111011110110000011010011001111101001010011100000011100111001111100000111011101000000011
0001010110010011010111101101111000110001010100101101111110011000110010100000110000010011111011110100100000101001001010111100011001000010111000011
0010000011100101100011110110011000011101001101101100110000111000111101000011000111001101110100100111100011101000010100101101101010111110010100001
0001110000001000100101111100101001011010110100011101111110111011110100000100100000100000110110110001000111110100011111100010011110111100110010010
0000110000100111100111111001001010101001101101000001110111001001011111000001001101001100111010110001000000111101101010110000101111000111001101000
0010011000011110011110100101011011110010010100100001011001011001100010100001011011011100111111001010101011011000110001110101100000110010100110011
0000101110100100100010001101011111011010011111011100110011110011100111101010010110100100010101100100101101101101000000010100000011101010100110011
0001100101111000001100000111100001011000110101100001111100100100000110000000101011101110000110000000111100100001100111110010001011100100110010010
0001010001000011101001011101001011101111011111000110001101010000101111010000010100100001001000100100011010101110011000010000000110100010101100100
0011111011111001100000101100000110100010101001010111111010010100000010101110100011101000111010010110011010001101110010010101011100110010111000011
0010111101010000000000010110111101111011001011011010011011000110001100000100000111100110110111011110000010011000100111101101010101000011011110101
1101010100001000000100000010111000011101011101010011111000111010100110010101100101010001010001010000100010000101100011010101110111000111111111111
corresponding to the solution:
[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,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
,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0]
mindist=58
weight enumerator=1 [0]  1056 [58]  480 [60]  8896 [62]  8750 [64]  8256 [66]  3584 [68]  
17856 [70]  16896 [72]  28032 [74]  7360 [76]  9024 [78]  9120 [80]  7872
 [82]  2816 [84]  64 [86]  864 [90]  96 [92]  48 [96]  1 [128]  

q=2 k=17 n=148 d=60 


(using automorphisms)
( link )

code with group 283


generator matrix:
0000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111000000011000000011
0000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000011111111111111111111111111111111000011101000011101
0000000000000000000000001111111111000000000000000000111111111111110000000000000011111111111111111100000000000000000011111111111111000100111001101100
0000000000000111111111110000011111000001111111111111000000011111110000000111111100000000000001111100000000011111111100000001111111000100001110110101
0000011111111000000111110011100011000010000000111111000111100001110011111000001100000111111110011100000001100000011100111110001111011011110011101101
0000100111111000001000111100100001000110000111000111001000100011110100000000110101111000001110101100011110001111100111011111110111000101011100001011
0000001001111000111001010101100100000000111001001111011011000100010000011001010000000000110111000101111110100011100001000111111001101111111001000111
0011110010000111110011101011001111011010011011111001001001111110111000100011111010111011011000001000100111010011101001001110011010000011000111000111
0001001010011000000100111111111010101100001001000111101001000111110001001101011000000011011111111000001111011100101101010110101000101110011100100000
0000001000001011011011101110010111000011110001010010101001111001110101101011100010111000101010010101111000101100011010000011001111001000111111011111
0010001100110000101101001111001000101000000001011110111011000001100000001100110101011101001110001011110010111111111111100111000010100101001011100010
0000100101100001000010111001010010101010011111100111101010011011100101111111000011100101111011001111010110100111110101111001100101100101010011100001
0000100011111111000010001101101010011101011010001110011010000110100011000010011100111100011111100001000111100000010011010111101011101110000100100011
0000011000110100011010100011011010100111111011110000010110000000000110111111011111101011111111101100000101010001100001001001100100111000100011000011
0011011110100111100001110001010101110010110000100000101110101100100010001101010100110011010011000100111000111011010110111001101010100111101001000010
0010001101101100110011011011101111110110010011010011001110110100001001010001001111110111111100111000111000011000111011010110010011010011100011101000
1100111011100010000001000100110010011110001100010100011111100010100010000000100011111000011000011101101111110010100010101001000101111111111111111111
corresponding to the solution:
[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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]
mindist=60
weight enumerator=1 [0]  1440 [60]  16142 [64]  13440 [68]  31488 [72]  37312 [76]  17760
 [80]  12416 [84]  928 [92]  144 [96]  1 [128]  

q=2 k=17 n=167 d=68


(using automorphisms)
( link )

code with group 137


generator matrix:
00000000001111111110000000000011111110000000111111111110000000000011111110000000001111111110000000000011111110000000000011111110000000001111111110000000000011111111101
00000011110000011110000000011100001110000011000000011110000000111100011110000011110001111110000111111100000010000000111100011110000111110000001110000000011100001110000
00000111110111100110001111101100010010011111001111100010001111001100001110001100110110001110001011111100000110111111000101100110001000000001110010000000100100010001101
00011001111011101010110000110101110011100101000000100110010001110111110110000101001000010010110100001100111011000111011110100000010000000010110100000001100101110011110
00111101111000001110000111101000110110100111010011011111100010010000100111111010011010111111111100110100011100000001001010011000110000110100010100000011001000111101110
00001101110100101010010000100100011110001010010111111110100110110001010000001000111000011100010111011101001000001011000100001110101000011110100110001110001011100001101
01011000111000000011011001001001110101010101101100001101101101000011001010000111010100101110000011101001010101011101011011101001100111101001001000010101001100100101110
01110101010101100011101111101000001010000011111011000101000110101001010010111001101011010100010001011011111010010000111011000110111011010110000000110101010000111110011
00011110111101110101010011010110101101000011001101110111101100000011010011001111111111001000011010111101110001110011100000001011010011100000101011111101111101011100000
01111111111000010011001110010001010100011001110011011010101111100000011000001001111100101111011000111001001110000010001001110011101101111100001110000110101101111100011
00101101111101000001101101110111011100110011101010011110010001111001000010000001101111000100101010101000110000101010110111101010010110100000111001001001101010011101110
00001011100101010110011111101100111000111110101101111101010111101100100111111011000001100010111011011110111101010011110000001000000110011101111000100101110101101111101
01000101101101000001101001010011100011000101111111110001100011101111011111001111000001110101001001100000100001111110111001100000011100101100101011010000010001111001101
00111111011010101000101101011000000010001001000100010011100110000001101000010000101001110101001000111110010011010011010010111000010000001110000011101101101011111101101
00100010001100001101110110110110111110101110110001101010110000111100101000001101010101100011011010011010100001110110111111100000100100100100000111101001111001110000011
01001110001001000000110001101110111111100011011111000010101101110110011000010101011000100001111111111011000111010101011011010011011100101010100111000010000111110010011
10000000000000000001111111111111111111111111111111111110000000000000000000000000000000000001111111111111111110000000000000000001111111111111111111111111111111111111000
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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mindist=68
weight enumerator=1 [0]  2058 [68]  8037 [72]  15067 [76]  27675 [80]  33163 [84]  24543
 [88]  13609 [92]  5664 [96]  1254 [100]  1 [164]  

q=2 k=17 n=221 d=94

(extension of a code using automorphisms)
( link )


generator matrix:
00000000111111100000000111111100000001111111100000001111111100000001111111100000001111111100000001111111100000001111111100000000111111100000000111111110000000011111110000000011111110000000111111110000000111111111110000000
00001111000111100000000111111100011110000111100011110000111100001110000111100001110000111100011110000111100011110000111100001111000111100001111000011110000111100001110000111100011110001111000011110000111000011110001110000
00110011001001100001111000011100100110011001111111111111111100110010011001100110010011001100100110011001100100110011001100110011001001100110011001100110011001100110110011001101100111111111000000001111111000000001101111111
01010101011010100110011001101101101010101010101100110011001101010100101010101010110101010101101010101010101001010101010101010101010010101010101010101000000000000000000011110001111001111111111111110011001001100111001101000
10100101100010100000000111111111000111100001111111110000000001101001001011000000000000000000000000000000010010010110011010010110100011001101001100101111100001111000110101010110101010110011001100110101011010101011101001100
11111111111111101010101010100100011111111000010101010101010100110010011001101010110101010100000001111111110001100110100100000000000000010101010101010110101010101010010000000011111110010101010101010101100010110100111101000
11000011110001110011001011001010001010101101011001101001100100000001111111101010111010101001010011001011000100111100110000000000111111111001100001100110011110000111000110011011001101010110100101100110010100110011000101011
11000011110001110011001100110101110100101101011100001111000000110011100110001101010110100101110100101101010001101001011001100110011011000000000111111100000000011111111001011000101101010110100101101100110001100110011001100
11111111000000010010110011010111111110000000000101100110100100001110000111110010100110100110001011010010110001100110100100001111000111101010101101010101001011010010101001011000101101000011110000110110010011001100011111111
11111111111111110011001100110100100110011001111100000000111101101000110100110100110101101010001011010010110110100101010110011001011011001011010101001000011001111001001100001101111001011001011001101111111111111110101100111
11111111000000001101001011010110101101001011010000111100001110010110110100111110001111000000011110000111100000001111111101011010010101001101001100101100101010101010010110100100101100011010101001011001010100101101010100100
00000000111111111001100001101110110011001100101100110011001100111101100001111000011100001100011110000111111111111111111101101001011100101101001011010000000000000000000101010101010101000011110000111111000000011110110011000
00110011001001111111111111111110101101001011001001010101101000000000000000010100110101101001101010101010111000111100001110010110011100111001100001100111001011001101011001011011010011000011110000111100001110000110100100100
10010110101011011110000000011110010100101010111001101001100100110010011001110011010110011000100111100110010110101010101011110000000111110011001011001110101101010100010011110001111001000011110000111001101011001100001000011
01010101100101001101001011010101101011010101000011110000111101101001001011001011001010010110101100110100111000111100001111000011001110010100101010110101111000011110000000111111100001100101101001010110010100110011111110000
10101010011010111110000111100010110010110011000000001111111100000001111111100000000000000011011000011001101110011001011010100101101010100000000000000000011110011000110011001101100110111100110000111001101011001100000000000
01101001101011011110000111100011111110000000001100111100110011001101100110000001111111000011100000000111111000111100001111111111000000010101010010101001010101010101101001011011010011110000111100000110010100110010000110011
mindist=94
weight enumerator=1 [0]  6941 [94]  4116 [96]  9360 [102]  4080 [104]  61920 [110]  20160
 [112]  10800 [118]  2640 [120]  9279 [126]  1771 [128]  3 [158]  1 [190
]  

ternary q=3

q=4

q=4 k=9 n=150 d=100  


(using automorphisms)
( link )

code with group 128454


generator matrix:
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corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=100
weight enumerator=1 [0]  6768 [100]  23040 [104]  52275 [108]  74025 [112]  67950 [116]  
31650 [120]  5535 [124]  900 [128]  

q=5

q=5 k=5 n=60 d=45  optimal


(using automorphisms)
( link )

code with group 12926


generator matrix:
011111111100111011110111100111011111111111111011110111111111
012230122311034112341123400024114440134413334101441011301133
040340134412100132142211411444411130310310232422014113231202
043432100402441214143133104331240320340030411312424323224311
102331202102043034224203304041141210034130024204240203343244
corresponding to the solution:
[1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
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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]
mindist=45
weight enumerator=1 [0]  1420 [45]  1524 [50]  180 [55]  

q=5 k=7 n=59 d=40  


(using automorphisms)
( link )

code with group 12926


generator matrix:
00011111011111110011111100011111001111111111111100011111111
11100234100222441101223411111334111123440011133301100003111
11324434444122230341044304411141020311014402211212201231410
02430444024122324011332242314302440033411211223240203022111
34334130120034243200003303042040024434432143020214410412000
24233032220104114410042002300442332344322402441221111214222
00012010213103434404112211342123300113424242243324112341034
corresponding to the solution:
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mindist=40
weight enumerator=1 [0]  1320 [40]  1664 [41]  3176 [42]  3840 [43]  5456 [44]  6672 [45
]  8944 [46]  8960 [47]  10752 [48]  8800 [49]  7140 [50]  5768 [51]  3104
 [52]  1568 [53]  720 [54]  192 [55]  44 [56]  4 [59]  

q=7

q=7 k=6 n=83 d=64


(using automorphisms)
( link )

code with group 128742


generator matrix:
01111111111101111111111100111111111111111111011111111111001111111111111111111111111
10112344466610122344456611001233345623666246101334444566110023345666150111112233340
21136556666660111611561601051445662560053562134340135502141160266012526022245611242
35360130416640445513133452404320452453021422113025540402143532611030622601600544134
41024445634503425535515666051305310366033413524234325211633434255115331350241326052
40666003405435035521451554024510556233121321503241015420405623011462053116115520434
corresponding to the solution:
[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
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mindist=64
weight enumerator=1 [0]  2304 [64]  3576 [65]  4530 [66]  6792 [67]  7470 [68]  10422 [69
]  12090 [70]  13890 [71]  15048 [72]  13710 [73]  9780 [74]  9372 [75
]  4320 [76]  2322 [77]  1530 [78]  360 [79]  114 [80]  18 [81]  

q=7 k=6 n=89 d=69


(using automorphisms)
( link )

code with group 126675


generator matrix:
00001111111111110011111111111111001111111111111101111111111111110000111111111111001111111
01110011344445561100011222344456111112233334456610122233334445660111111333344456110133555
00244513012261401602401023102206011561424450510513301224441453141114445115601413050246355
04644333141634253331056043522430315400252425515445365200010405643150335456442133254305362
01424032360443350065542134262515451042213246356063453335620346415635463051450614105025210
11206066504051206625101355660230336504530053060102660625646016042354126554563215060141313
corresponding to the solution:
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mindist=69
weight enumerator=1 [0]  1836 [69]  3648 [70]  5664 [71]  5712 [72]  8220 [73]  9504 [74
]  11904 [75]  14040 [76]  12288 [77]  13128 [78]  10560 [79]  9648 [80
]  5964 [81]  2976 [82]  1824 [83]  720 [84]  6 [88]  6 [89]  

q=8

q=9