More classes of optimal quinary cyclic codes of form C(1,e,s)

被引：0

作者：

Liu, Yan ^{[1
]}

Cao, Xiwang ^{[2
,3
]}

Zha, Zhengbang ^{[4
]}

机构：

[1] Yancheng Inst Technol, Coll Math & Phys, Yancheng 224003, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Sch Math Sci, Nanjing 210016, Peoples R China

[3] MIIT, Key Lab Math Modeling & High Performance Comp Air, Nanjing 210016, Peoples R China

[4] Luoyang Normal Univ, Sch Math Sci, Luoyang 471934, Peoples R China

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2023年

基金：

中国国家自然科学基金;

关键词：

Cyclic code; Optimal code; Quinary code; Minimum distance;

D O I：

10.1007/s00200-023-00604-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Cyclic codes are an important subclass of linear codes. In this paper, we investigate the construction of quinary cyclic codes with parameters [5(m) - 1, 5(m) - 2m - 2,4] and eight new classes optimal quinary cyclic codes of form C-(1,C-e,C-s) are presented by discussing the solutions of certain equations over F-5m.

引用

页码：327 / 339

页数：13