Best found linear codes over Z4 of size 2^13:


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+1 2+2+1+1+1+1+1+1+1+1+1 2+2+2+1+1+1+1+1+1+1 2+2+2+2+1+1+1+1+1 2+2+2+2+2+1+1+1 2+2+2+2+2+2+1
72 2
82 2 2
93 2 2 3
104 2 4 4 4
114 2 4 4 4 4
126 2 4 4 4 6 6
136 4 4 4 6 6 6
148 4 4 6 6 8 8
158 4 6 8 8 8 8
169 4 8 8 8 9 9
1710 6 8 8 8 10 10
1812 8 8 8 10 10 12
1912 8 8 10 12 12 12
2012 8 10 12 12 12 12
2114 10 12 12 12 14 13
2215 10 12 13 14 14 15
2316 12 12 14 14 15 16
2416 12 14 16 16 16 16
2517 14 14 16 16 16 17
2618 14 16 16 17 18 18
2720 16 16 16 18 18 20
2820 16 16 18 20 20 19
2921 16 16 20 20 20 21
3022 16 20 20 20 21 22
3122 20 20 20 22 22 22
3224 20 20 22 22 23 24
3326 20 22 24 24 24 26
3428 20 22 24 24 25 28
3528 22 24 24 26 26 28
3628 24 24 26 26 26 28
3729 24 24 26 28 28 29
3830 24 26 28 28 28 30
3932 24 28 28 29 30 32
4032 26 28 28 30 30 32
4132 28 28 30 32 32 32
4234 28 30 32 32 32 34
4334 28 32 32 32 33 34
4436 28 32 32 34 34 36
4536 32 32 34 34 35 36
4637 32 32 34 36 36 37
4738 32 34 36 36 37 38
4840 34 36 36 38 38 40
4940 36 36 38 38 38 40
5040 36 36 38 40 40 40
5142 36 38 40 40 40 42
5244 36 40 40 41 42 44
5344 38 40 40 42 42 44
5444 40 40 42 44 44 44
5544 40 41 44 44 44 44
5646 40 44 44 45 45 46
5746 42 44 44 46 46 46
5847 44 44 46 46 47 47
5948 44 44 48 48 48 48
6049 44 46 48 48 49 49
6150 44 48 48 50 50 50
6251 46 48 50 50 50 51
6352 48 48 50 52 52 52
6453 48 50 52 52 52 53
6554 48 52 52 54 54 54
6655 50 52 53 54 54 55
6756 52 52 54 56 56 56
6856 52 54 56 56 56 56
6958 52 56 56 57 58 58
7058 54 56 57 58 58 58
7160 56 56 58 59 60 60
7260 56 58 60 60 60 60
7362 56 58 60 61 62 62
7462 56 60 60 62 62 62
7564 58 60 62 62 63 64
7664 60 60 64 64 64 64
7765 60 62 64 64 65 65
7866 60 64 64 66 66 66
7967 62 64 66 66 67 67
8068 64 64 66 68 68 68
8169 64 66 68 68 69 69
8270 64 68 68 70 70 70
8371 66 68 70 70 70 71
8472 68 68 70 72 72 72
8573 68 70 72 72 72 73
8674 68 72 72 74 74 74
8775 70 72 74 74 74 75
8876 70 72 74 76 76 76
8976 72 74 76 76 76 76
9078 72 76 76 78 78 78
9178 72 76 77 78 78 78
9280 74 76 78 79 80 80
9380 76 76 80 80 80 80
9482 76 78 80 80 82 82
9582 76 80 80 82 82 82
9684 78 80 82 82 83 84
9784 80 80 84 84 84 84
9885 80 82 84 84 85 85
9986 80 84 84 86 86 86

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 2^13.
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 = 2^13
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