Best found linear codes over Z4 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 2+1+1+1+1+1+1+1 2+2+1+1+1+1+1 2+2+2+1+1+1 2+2+2+2+1
52 2
62 2 2
74 2 4 4
84 2 4 4 4
96 4 4 4 6
106 4 4 6 6
118 4 6 6 8
128 6 8 8 8
139 8 8 8 9
1410 8 8 10 10
1512 8 10 10 12
1612 10 12 12 12
1713 12 12 12 13
1814 12 12 14 14
1915 14 14 14 15
2016 16 16 16 16
2116 16 16 16 16
2218 16 16 18 18
2318 16 18 18 18
2420 16 20 20 20
2520 18 20 20 20
2622 20 20 22 22
2722 20 22 22 22
2824 22 24 24 24
2924 24 24 24 24
3026 24 24 26 26
3128 24 26 26 28
3228 26 28 28 28
3328 26 28 28 28
3430 28 28 30 30
3532 28 30 32 32
3632 30 32 32 32
3732 32 32 32 32
3834 32 32 33 34
3934 32 34 34 34
4036 32 34 36 36
4136 34 36 36 36
4238 36 36 38 38
4340 36 38 38 40
4440 38 38 40 40
4540 40 40 40 40
4642 40 40 41 42
4742 40 42 42 42
4844 40 42 44 44
4944 42 44 44 44
5046 44 44 45 46
5148 44 46 46 48
5248 44 48 48 48
5348 46 48 48 48
5450 48 48 48 50
5550 48 49 50 50
5652 48 50 50 52
5753 48 52 52 53
5854 50 52 52 54
5956 52 53 54 56
6056 52 54 54 56
6156 54 56 56 56
6258 56 56 56 58
6358 56 57 58 58
6460 56 58 58 60
6561 58 60 60 61
6662 60 60 60 62
6764 60 61 62 64
6864 60 62 64 64
6964 62 64 64 64
7066 64 64 64 66
7166 64 64 66 66
7268 64 66 66 68
7368 64 68 68 68
7470 66 68 68 70
7570 68 69 70 70
7672 68 70 70 72
7772 70 72 72 72
7874 72 72 72 74
7976 72 73 74 76
8076 72 74 76 76
8176 72 76 76 76
8278 74 76 76 78
8380 76 77 78 80
8480 76 78 80 80
8581 78 79 80 81
8682 80 80 80 82
8784 80 80 81 84
8884 80 82 82 84
8984 80 82 84 84
9088 82 84 84 88
9188 84 84 86 88
9288 84 86 86 88
9388 86 88 88 88
9490 88 88 88 90
9592 88 88 90 92
9692 88 90 90 92
9794 90 92 92 94
9896 92 92 92 96
9996 92 92 94 96

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 2^9.
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 Z4 in dependence of the size
Comparison of the Gray images for q = 2 and size = 2^9
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