Explicit factorization of xl1m1l2m2l3m3−a and a-constacyclic codes over a finite field
Supakarn Rakphon, Wutichai Chongchitmate, Jirayu Phuto, Chakkrid Klin-eam · Communications in Algebra · 2022
Let Fq be a finite field of order q, t be a prime and m1,m2,m3 be positive integers. In this article, we find all irreducible divisors of xl1m1l2m2l3m3−a over Fq where a∈Fq* and qt−1=l1v1l2v2l3v3c such that l1,l2,l3 are distinct odd primes and c is a positive integer with gcd(l1l2l3,c)=1 and gcd(l1l2l3,q(q−1))=1. Moreover, we construct an a-constacyclic code by using these irreducible divisors.