Constacyclic codes of length klmpn over a finite field

We correct Theorem 1 and Theorem 3 in [16] and give the factorization of xklmpn−λ(λ∈Fq⁎) in the case that gcd⁡(k,q−1)=1 and l|(q−1). Then, for different odd primes k,l and p, the structures of constacyclic codes of length klmpn over a finite field Fq with characteristic p are obtained in terms of the generator polynomials completely.