Optimal Quinary Cyclic Codes with Minimum Distance Four

被引：0

作者：

FAN Jinmei

ZHANG Yanhai

机构：

[1] CollegeofScience,GuilinUniversityofTechnology

来源：

ChineseJournalofElectronics | 2020年 / 29卷 / 03期

关键词：

Finite field; Cyclic code; Irreducible polynomial; Monomial;

D O I：

暂无

中图分类号：

O157.4 [编码理论（代数码理论）];

学科分类号：

070104 ;

摘要：

The necessary and sufficient condition for the quinary cyclic codes with generator polynomial（x+1）mα（x）mαe（x） to have parameters [5m-1, 5m-2m-2, 4]is provided by analyzing solutions of certain equations over the finite field F5m. And thus several classes of new optimal quinary cyclic codes with the same parameters and generator polynomial are constructed based on analyzing irreducible factors of certain polynomials with low degrees over finite fields.

引用

页码：515 / 524

页数：10

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