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.
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页数：29
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