Best found linear codes over Z4 of size 2^12:


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+1 2+2+1+1+1+1+1+1+1+1 2+2+2+1+1+1+1+1+1 2+2+2+2+1+1+1+1 2+2+2+2+2+1+1 2+2+2+2+2+2
61 1
72 2 2
82 2 2 2
94 2 4 4 4
104 2 4 4 4 4
116 2 4 4 4 6 6
126 4 4 4 6 6 6
138 4 4 6 6 7 8
148 4 6 8 8 8 8
159 6 8 8 8 8 9
1610 8 8 8 9 10 10
1710 8 8 10 10 10 10
1812 8 8 10 11 12 12
1912 8 10 12 12 12 12
2014 10 12 12 12 13 14
2114 12 12 13 14 14 14
2216 12 12 14 14 15 16
2316 12 14 16 16 16 16
2418 14 16 16 16 16 18
2518 16 16 16 18 17 17
2619 16 16 18 18 18 19
2720 16 16 18 20 20 20
2822 16 20 20 20 20 22
2922 18 20 20 21 22 22
3024 20 20 22 22 22 24
3126 20 20 22 23 24 26
3228 20 22 24 24 24 28
3328 22 24 24 24 25 28
3428 24 24 24 26 26 28
3528 24 24 26 26 27 28
3628 24 26 28 28 28 28
3730 24 28 28 28 28 30
3832 26 28 28 30 30 32
3932 28 28 30 30 31 32
4032 28 28 32 32 32 32
4134 28 30 32 32 32 34
4234 30 32 32 33 34 34
4336 32 32 34 34 34 36
4436 32 32 34 35 36 36
4537 32 34 36 36 36 37
4638 32 36 36 37 37 38
4740 36 36 37 38 38 40
4840 36 36 38 39 39 40
4942 36 38 40 40 40 42
5042 36 40 40 40 41 42
5142 38 40 40 42 42 42
5244 40 40 42 42 43 44
5344 40 42 44 44 44 44
5446 40 44 44 44 44 46
5548 42 44 44 46 46 48
5648 44 44 46 46 46 48
5748 44 44 46 48 48 48
5850 44 46 48 48 48 50
5950 46 48 48 50 50 50
6052 46 48 50 50 50 52
6152 48 48 50 52 52 52
6254 48 50 52 52 52 54
6356 48 52 52 53 53 56
6456 50 52 54 54 54 56
6556 52 52 54 55 56 56
6657 52 54 56 56 56 57
6758 52 56 56 57 57 58
6860 54 56 57 58 58 60
6960 56 56 58 58 59 60
7064 56 58 60 60 60 64
7162 56 60 60 60 61 62
7264 58 60 60 62 62 64
7364 58 60 62 62 63 64
7465 60 62 64 64 64 65
7566 60 64 64 64 64 66
7668 60 64 64 66 66 68
7768 62 64 66 66 66 68
7870 64 66 66 68 68 70
7970 64 66 68 68 68 70
8072 64 68 68 70 70 72
8172 66 68 70 70 70 72
8272 68 68 70 72 72 72
8374 68 70 72 72 72 74
8476 68 72 72 73 74 76
8576 70 72 74 74 74 76
8676 72 72 74 76 76 76
8778 72 74 76 76 76 78
8880 72 76 76 77 78 80
8980 74 76 78 78 78 80
9081 76 76 78 79 79 81
9182 76 78 80 80 80 82
9284 76 80 80 81 81 84
9384 76 80 81 82 82 84
9486 78 80 82 83 83 86
9586 80 82 84 84 84 86
9688 80 84 84 85 85 88
9788 80 84 85 86 86 88
9889 82 84 86 86 87 89
9990 84 86 88 88 88 90

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 2^12.
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 = 2^12
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