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Letbe a finite field of order  q ,  t  be a prime andbe positive integers. In this article, we find all irreducible divisors ofoverwhereandsuch thatare distinct odd primes and  c  is a positive integer withandMoreover, we construct an  a -constacyclic code by using these irreducible divisors.

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