An Unified Approach on Constructing of MDS Self-dual Codes via Reed-Solomon Codes

Autor:	Zhang, Aixian, Feng, Keqin
Rok vydání:	2019
Předmět:	Computer Science - Information Theory
Druh dokumentu:	Working Paper
Popis:	Based on the fundamental results on MDS self-dual codes over finite fields constructed via generalized Reed-Solomon codes \cite{JX} and extended generalized Reed-Solomon codes \cite{Yan}, many series of MDS self-dual codes with different length have been obtained recently by a variety of constructions and individual computations. In this paper, we present an unified approach to get several previous results with concise statements and simplified proofs, and some new constructions on MDS self-dual codes. In the conclusion section we raise two open problems. Comment: 16pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.06513 Zobrazit plný text záznamu View this record from Arxiv