NEW NMDS SELF-DUAL CODES OVER FINITE FIELDS

被引：0

作者：

Lebed, Khawla ^{[1
]}

Zheng, Dabin ^{[1
]}

Liu, Hongwei ^{[2
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

[2] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2025年

基金：

中国国家自然科学基金;

关键词：

Self-dual code; Near MDS code; Zero-sum; MDS CODES;

D O I：

10.3934/amc.2025030

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

. Self-dual codes and near-MDS (NMDS) codes are special families of classical codes, and they hold significant importance in both coding theory and its practical applications. As a result, it is of interest to study NMDS self-dual codes. This paper constructs some new classes of NMDS self-dual codes based on a specific zero-sum condition. For finite fields with odd characteristic, our work can produce more classes of NMDS self-dual codes with new parameters.

引用

页数：9

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