Pith. sign in

New MDS Self-dual Codes over Finite Fields of Odd Characteristic

· 2018 · cs.IT · arXiv 1811.02802

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
open full Pith review browse 1 citing papers arXiv PDF
abstract

In this paper, we produce new classes of MDS self-dual codes via (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there are many MDS self-dual codes with new parameters which have never been reported. For odd prime power $q$ with $q$ square, the total number of lengths for MDS self-dual codes over $\mathbb{F}_q$ presented in this paper is much more than those in all the previous results.

fields

cs.IT 1

years

2019 1

verdicts

ACCEPT 1

representative citing papers

On Euclidean Hulls of MDS Codes

cs.IT · 2019-08-03 · accept · novelty 6.0

Any self-orthogonal (extended) GRS code of dimension m yields MDS codes of every smaller dimension k with any Euclidean hull dimension from 0 to k.

citing papers explorer

Showing 1 of 1 citing paper.

  • On Euclidean Hulls of MDS Codes cs.IT · 2019-08-03 · accept · none · ref 12 · internal anchor

    Any self-orthogonal (extended) GRS code of dimension m yields MDS codes of every smaller dimension k with any Euclidean hull dimension from 0 to k.