New classes of optimal p-ary cyclic codes with minimum distance four

被引：0

作者：

Zha, Zhengbang ^{[1
]}

Hu, Lei ^{[2
]}

Wu, Gaofei ^{[3
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100085, Peoples R China

[3] Xidian Univ, Sch Cyber Engn, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2025年 / 103卷

基金：

中国国家自然科学基金;

关键词：

Finite field; Cyclic code; Minimum distance;

D O I：

10.1016/j.ffa.2025.102588

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let C(1,e,s) denote the p-ary cyclic code with three zeros. In this paper, we present six classes of optimal p-ary cyclic codes C(1,e,s) with parameters [pn- 1, pn- 2n - 2,4] by using the quadratic and quartic characters on finite fields. In addition, we propose a class of optimal quinary cyclic codes by determining the solutions of equations over F5n . (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：18

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