A class of double-twisted generalized Reed-Solomon codes

被引：3

作者：

Zhu, Canze ^{[1
]}

Liao, Qunying ^{[2
]}

机构：

[1] Dongguan Univ Technol, Sch Comp Sci & Technol, Dongguan 523000, Peoples R China

[2] Sichuan Normal Univ, Coll Math Sci, Chengdu 610066, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2024年 / 95卷

基金：

中国国家自然科学基金;

关键词：

Double-twisted generalized; Reed-Solomon codes; Self-dual codes; NMDS codes; Non-GRS MDS codes; Schur square; SELF-DUAL CODES; MDS;

D O I：

10.1016/j.ffa.2024.102395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, let q be a prime power, we focus on a class of double -twisted generalized Reed -Solomon code C over Fq. We give a sufficient and necessary condition for C to be MDS or AMDS, and prove that C is non-GRS by calculating the Schur square of its dual code. Furthermore, we present a sufficient and necessary condition for C to be self -dual, and then construct several classes of self -dual NMDS or non-GRS MDS codes. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：29

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