New MDS self-dual codes from GRS codes and extended GRS codes

被引：0

作者：

Wan, Ruhao ^{[1
]}

Zhu, Shixin ^{[1
]}

Li, Jin ^{[1
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 23009, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2023年 / 89卷

基金：

中国国家自然科学基金;

关键词：

MDS code; Self-dual code; Generalized Reed-Solomon code; Extended generalized Reed-Solomon; code; CONSTRUCTION;

D O I：

10.1016/j.ffa.2023.102222

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Maximum-distance-separable (MDS) codes and self-dual codes are important families of classical codes in coding theory. It is of interest to investigate MDS self-dual codes. The existence of MDS self-dual codes over finite field Fq has been completely solved for q is even. In this paper, for finite field with odd characteristic, we obtain some new results on the existence of MDS self-dual codes by generalized ReedSolomon (GRS) codes and extended GRS codes. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：20

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