Best found linear codes over Z4 of size 2^11:


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 2+1+1+1+1+1+1+1+1+1 2+2+1+1+1+1+1+1+1 2+2+2+1+1+1+1+1 2+2+2+2+1+1+1 2+2+2+2+2+1
62 2
72 2 2
84 2 4 4
94 2 4 4 4
105 2 4 4 4 5
116 4 4 4 6 6
128 4 4 6 6 8
138 4 6 6 8 8
148 6 8 8 8 8
1510 8 8 8 10 10
1612 8 8 9 10 12
1712 8 10 10 12 12
1812 8 12 12 12 12
1914 10 12 12 13 14
2014 12 12 14 14 14
2116 12 14 14 14 16
2216 12 15 16 16 16
2317 14 16 16 16 17
2418 16 16 16 18 18
2520 16 16 18 18 20
2620 16 18 20 20 20
2722 16 20 20 20 22
2822 20 20 20 22 22
2923 20 20 22 22 23
3024 20 22 23 24 24
3126 22 24 24 24 26
3228 24 24 24 25 28
3328 24 24 26 26 28
3428 24 24 26 27 28
3530 24 26 28 28 30
3632 26 28 28 29 32
3732 28 28 30 30 32
3832 28 29 30 30 32
3932 28 30 32 32 32
4033 30 32 32 32 33
4134 32 32 33 34 34
4236 32 32 34 34 36
4336 32 34 36 36 36
4438 32 36 36 36 38
4538 34 36 36 38 38
4640 36 36 38 38 40
4740 36 38 40 40 40
4842 36 40 40 40 42
4942 38 40 40 41 42
5044 40 40 42 42 44
5144 40 42 42 44 44
5246 40 44 44 44 46
5347 42 44 44 45 47
5448 44 44 46 46 48
5548 44 46 46 48 47
5648 44 47 48 48 48
5750 46 48 48 49 50
5850 48 48 50 50 50
5952 48 49 50 51 52
6054 48 50 52 52 54
6154 48 52 52 52 54
6256 50 52 54 54 56
6356 52 54 54 54 56
6456 52 54 56 56 56
6558 52 56 56 56 58
6658 54 56 58 58 58
6760 56 56 58 58 60
6861 56 58 60 60 61
6962 56 60 60 60 62
7064 58 60 61 62 64
7164 60 62 62 62 64
7264 60 62 64 64 64
7365 60 64 64 64 65
7466 62 64 64 66 66
7568 64 64 66 66 68
7668 64 66 66 68 68
7770 64 68 68 68 70
7870 66 68 68 70 70
7972 66 68 70 70 72
8072 68 70 70 72 72
8173 68 71 72 72 73
8274 68 72 72 73 74
8376 70 72 74 74 76
8476 72 74 74 75 76
8578 72 74 76 76 78
8680 72 76 76 77 80
8780 74 76 78 78 80
8880 76 78 78 79 80
8981 76 78 80 80 81
9082 76 80 80 81 82
9184 78 80 81 82 84
9284 80 80 82 83 84
9386 80 82 83 84 86
9488 80 84 84 85 88
9588 82 84 85 86 88
9688 84 85 86 87 88
9792 84 86 88 88 92
9892 84 88 88 88 92
9992 86 88 89 90 92

The color scheme indicates how the homogeneous minimum distance of the entry compares to that of other linear codes over Z4 of the same length and size 2^11.
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 Z4 in dependence of the size
Comparison of the Gray images for q = 2 and size = 2^11
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