Explicit factorization of

被引：0

作者：

Brochero Martinez, Fabio Enrique ^{[1
]}

Giraldo Vergara, Carmen Rosa ^{[1
]}

de Oliveira, Lilian Batista ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, Belo Horizonte, MG, Brazil

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2015年 / 77卷 / 01期

关键词：

Irreducible factor; Cyclotomic polynomial; Cyclic codes;

D O I：

10.1007/s10623-014-0005-y

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let be a finite field and a positive integer. In this article, we prove that, under some conditions on and , the polynomial can be split into irreducible binomials and an explicit factorization into irreducible factors is given. Finally, weakening one of our hypothesis, we also obtain factors of the form and explicit splitting of into irreducible factors.

引用

页码：277 / 286

页数：10

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