Distance-optimal sum-rank codes
This page lists some tables of the linear distance-optimal sum-rank-metric codes with various lengths and the matrix size 2*2. For the constructions of SRM codes, we refer to the following references.
Z. Cheng, H. Chen, C. Xie and C. Ding, Cyclic and negacyclic sum-rank codes, preprint, 2024.
H. Chen, Quasi-perfect and distance-optimal codes sum-rank codes, arXiv:2401.11160, 2024.
M. Grassl, http://www.codetables.de.
The binary linear distance-optimal sum-rank codes with various lengths and the matrix size 2*2
3
4
4
15
4*12
4
63
4*61
4
255
4*252
4
1023
4*1019
4
4095
4*4090
4
The q-ary linear distance-optimal sum-rank codes with various lengths and the matrix size 2*2
3
80
2*155
4
4
255
2*505
4
5
624
2*1243
4
7
2400
2*4795
4
8
4095
2*8185
4
9
6560
2*13115
4
The binary linear distance-optimal sum-rank codes with various lengths and the matrix size 2*2
11
2*17
4
12
2*19
4
13
2*21
4
14
2*23
4
15
2*25
4
16
2*27
4
17
2*29
4
18
2*30
4
19
2*32
4
20
2*34
4
21
2*36
4
22
2*38
4
23
2*40
4
24
2*42
4
25
2*44
4
26
2*46
4
27
2*48
4
28
2*50
4
29
2*52
4
30
2*54
4
40
2*74
4
50
2*93
4
60
2*113
4
70
2*133
4
80
2*153
4
90
2*173
4
100
2*193
4
110
2*213
4
120
2*233
4
130
2*252
4
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