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
收藏
页码：327 / 339
页数：13
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