Title
On the Classification of MDS Codes.
Abstract
A q-ary code of length n, size M, and minimum distanced is called an (n,M,d)q code. An (n,qk,n - k + 1)q code is called a maximum distance separable (MDS) code. In this paper, some MDS codes over small alphabets are classified. It is shown that every (k + d - 1, qk, d)q code with k ≥ 3, d ≥ 3, q ∈ (5, 7} is equivalent to a linear code with the same parameters. This implies that the (6, 54, 3)5 cod...
Year
DOI
Venue
2014
10.1109/TIT.2015.2488659
IEEE Transactions on Information Theory
Keywords
DocType
Volume
Hypercubes,Linear codes,Hamming distance,Parity check codes,Color,Indexes,Linearity
Journal
61
Issue
ISSN
Citations 
12
0018-9448
8
PageRank 
References 
Authors
0.70
5
3
Name
Order
Citations
PageRank
Janne I. Kokkala192.46
Denis S. Krotov28626.47
Patric R. J. Östergård360970.61