Best found linear codes over Z4 of size 2^16:


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+2+2+2+2+2+2+2
92 2
102 2
113 3
124 4
135 5
146 6
156 6
167 7
178 8
189 9
1910 10
2010 10
2111 11
2212 12
2313 13
2413 13
2514 14
2615 15
2716 16
2817 17
2918 18
3019 19
3120 20
3220 20
3321 21
3422 22
3523 23
3624 24
3725 25
3825 25
3926 26
4027 27
4128 28
4229 29
4330 30
4431 31
4531 31
4632 32
4733 33
4834 34
4935 35
5036 36
5137 37
5238 38
5339 39
5439 39
5540 40
5641 41
5742 42
5843 43
5944 44
6045 45
6146 46
6247 47
6348 48
6449 49
6549 49
6650 50
6751 51
6852 52
6953 53
7054 54
7155 55
7256 56
7357 57
7458 58
7559 59
7660 60
7761 61
7861 61
7962 62
8064 64
8164 64
8266 66
8366 66
8468 68
8568 68
8668 68
8770 70
8871 71
8972 72
9073 73
9174 74
9275 75
9376 76
9477 77
9578 78
9678 78
9780 80
9880 80
9981 81

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 2^16.
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 = 2^16
Back to main page