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MDS and near-MDS codes via twisted Reed–Solomon codes
Designs, Codes, and Cryptography, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junzhen Sui +2 more
exaly +3 more sources
Construction of MDS twisted Reed–Solomon codes and LCD MDS codes
Designs, Codes, and Cryptography, 2021The paper gives two constructions of twisted Reed-Solomon codes with two purposes. These are to provide new constructions, on the one hand, of MDS codes and, on the other hand, of linear complementary dual codes (LCD). LCD codes have acquired importance because of their interest in information protection against side-channel attacks and fault non ...
Shengwei Liu, Hongwei Liu
exaly +2 more sources
A linear \([n,k,d]\) code \(C\) over the finite field \(F_q\) is called almost maximum distance separable (AMDS for short) if its Singleton defect \(s(C) = n-k+1-d\) is one. A set of \(n\) points in the projective space \(PG(r,q)\) over \(F_q\) of dimension \(r\) is called \(n\)-track if every \(r\) of the points are not contained in a subspace of ...
exaly +2 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clarice Dias de Albuquerque +5 more
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An inverse relative dimension/length profile (IRDLP) of a pair of codes was introduced to describe the equivocation. In this paper, the maximum distance separable (MDS) code is extended to a two-code format: relative MDS pair. For a code and a subcode, the pair is called a relative MDS pair if its inverse relative dimension-length profile (IRDLP ...
Yuan Luo 0003 +3 more
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