Hermitian self-dual 2-quasi-abelian codes

被引：0

作者：

Zhang, Guanghui ^{[1
]}

Lin, Liren ^{[2
]}

Qin, Chunyan ^{[3
]}

Li, Ruibo ^{[3
]}

机构：

[1] Suqian Univ, Dept Math, Suqian 223800, Jiangsu, Peoples R China

[2] Hubei Univ, Sch Cyber Sci & Technol, Hubei Key Lab Appl Math, Wuhan 430062, Hubei, Peoples R China

[3] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2024年 / 94卷

基金：

中国国家自然科学基金;

关键词：

Finite fields; Quasi-abelian codes of index 2; Asymptotically good; Hermitian self-dual codes; QUASI-CYCLIC CODES;

D O I：

10.1016/j.ffa.2023.102357

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct a class of Hermitian self-dual 2-quasi-abelian codes over a finite field. Based on counting the number of such codes and estimating the number of the codes in this class whose relative minimum weights are small, we prove that the class of Hermitian self-dual 2-quasi-abelian codes over any finite field is asymptotically good. The existence of such codes is unconditional, which is different from the case of Euclidean self-dual 2-quasi-abelian codes over a special finite field. (c) 2023 Published by Elsevier Inc.

引用

页数：21

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