Best found linear codes over Z8 of size 2^9:


To get more detailed infos about the codes, click on the entries in the table.
For an explanation of what the different colors mean, look below.

n best 3+1+1+1+1+1+1 3+2+1+1+1+1 3+2+2+1+1 3+2+2+2 3+3+1+1+1 3+3+2+1 3+3+3
31 1
42 1 2 2
53 2 2 2 2 3
64 2 2 3 4 4 4
75 2 4 4 4 4 4 5
86 4 4 4 6 4 5 5
96 4 4 6 6 6 6 6
108 4 6 6 6 7 8 8
118 6 8 8 8 8 8 8
1210 8 8 8 8 8 10 10
1311 8 8 10 10 10 10 11
1412 8 10 10 10 10 12 12
1513 10 10 12 12 12 12 13
1614 12 12 12 12 12 13 14
1714 12 13 14 14 14 14 14
1816 14 14 14 14 14 16 16
1917 16 16 16 16 16 16 17
2018 16 16 16 16 16 17 18
2118 16 16 18 18 18 18 18
2220 16 18 18 18 18 20 20
2320 18 18 20 20 20 20 20
2422 20 20 20 20 20 22 22
2522 20 20 22 22 22 22 22
2624 21 22 22 22 23 24 24
2724 22 24 24 24 24 24 24
2826 24 24 24 24 24 25 26
2926 24 24 25 25 26 26 26
3028 24 26 26 26 26 27 28
3128 26 28 28 28 28 28 28
3230 26 28 28 28 28 29 30
3330 28 30 30 30 30 30 30
3432 29 32 32 30 31 32 32
3532 30 32 32 32 32 32 32
3633 32 32 32 32 32 33 33
3734 32 32 33 33 34 34 34
3836 32 34 34 34 34 35 36
3936 34 34 36 36 36 36 36
4038 34 36 36 36 36 37 38
4138 36 36 38 38 38 38 38
4240 37 38 38 38 38 40 40
4340 38 40 40 40 40 40 40
4442 40 40 40 40 40 41 42
4542 40 40 41 41 42 42 42
4644 40 42 42 42 42 43 44
4744 42 42 44 44 44 44 44
4846 44 44 44 44 44 45 46
4946 44 45 46 46 46 46 46
5048 46 46 46 46 48 48 48
5148 48 48 48 48 48 48 48
5249 48 48 48 48 48 49 49
5350 48 48 50 50 50 50 50
5452 48 50 50 50 50 51 52
5553 50 50 52 52 52 52 53
5654 52 52 52 54 52 53 54
5755 52 52 54 54 54 54 55
5856 52 54 54 56 55 56 56
5956 54 56 56 56 56 56 56
6058 56 56 56 57 56 57 58
6159 58 58 58 58 58 58 59
6260 60 60 60 60 59 59 60
6362 62 62 62 62 60 60 60
6464 64 64 64 64 61 61 62
6564 64 64 64 64 62 62 62
6664 64 64 64 64 64 64 64
6765 64 64 64 64 64 64 65
6866 64 64 64 65 64 65 66
6967 64 64 66 66 66 66 67
7068 64 66 66 67 66 67 68
7169 66 68 68 68 68 68 69
7270 68 68 68 70 69 69 70
7371 68 68 70 70 70 70 71
7472 68 70 70 70 72 72 72
7573 70 72 72 72 72 72 73
7674 72 72 72 72 72 73 74
7775 72 72 74 73 74 74 75
7876 72 74 74 74 75 75 76
7977 74 76 76 76 76 76 77
8078 76 76 76 76 77 77 78
8180 76 77 78 77 78 78 80
8280 78 78 79 78 80 80 80
8381 80 80 80 80 80 80 81
8482 80 80 80 80 80 81 82
8583 80 80 81 82 82 82 83
8684 80 82 82 82 83 84 84
8785 81 82 84 84 84 84 85
8886 84 84 84 84 85 86 86
8987 84 84 85 86 86 86 87
9088 84 86 86 86 88 88 88
9189 86 88 88 88 88 88 89
9290 88 88 88 88 89 90 90
9392 88 88 89 89 90 90 92
9492 88 90 90 90 92 92 92
9594 90 92 92 92 94 94 93
9696 90 92 92 92 96 96 94
9796 92 94 94 94 96 96 95
9896 93 96 96 95 96 96 96
9997 94 96 96 96 96 96 97

The color scheme indicates how the homogeneous minimum distance of the entry compares to that of other linear codes over Z8 of the same length and size 2^9.
It is as follows:
d This code has the best minimum distance within our database, however it is possible that better ones exist.
d This code has optimal minimum distance.
d There are better codes of same size and length but different shape in the database.

Best found linear codes over Z8 in dependence of the size
Comparison of the Gray images for q = 2 and size = 2^9
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