Explicit factorization of x1lm1l2m2l3m3 - a and a-constacyclic codes over a finite field

被引：0

作者：

Rakphon, Supakarn ^{[1
]}

Chongchitmate, Wutichai ^{[1
]}

Phuto, Jirayu ^{[2
]}

Klin-eam, Chakkrid ^{[2
]}

机构：

[1] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok, Thailand

[2] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok, Thailand

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 11期

关键词：

Constacyclic codes; cyclotomic coset; generator polynomials; irreducible factor polynomials;

D O I：

10.1080/00927872.2022.2072854

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F-q be a finite field of order q, t be a prime and m(1), m(2), m(3) be positive integers. In this article, we find all irreducible divisors of x(1)(lm1l2m2l3m3) - a over F-q where a is an element of F-q* and q(t) - 1 = l(1)(V1)l(2)(V2)l(3)(V3) c such that l(1), l(2), l(3) are distinct odd primes and c is a positive integer with gcd(l(1) l(2) l(3), c) = 1 and gcd(l(1)l(2)l(3), q(q - 1)) = 1. Moreover, we construct an a-constacyclic code by using these irreducible divisors.

引用

页码：4725 / 4745

页数：21

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