Optimal Quinary Cyclic Codes with Minimum Distance Four

被引：0
|
作者：
FAN Jinmei [1 ]
ZHANG Yanhai [1 ]
机构：
[1] College of Science, Guilin University of Technology
来源：
Chinese Journal of Electronics | 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）m;（x）m;e（x） to have parameters [5;-1, 5;-2m-2, 4]is provided by analyzing solutions of certain equations over the finite field F;. 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.
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页码：515 / 524
页数：10
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