A Special Class of Repeated-Root Constacyclic Codes

Let \(\mathbb{F}\)q be a finite field with q elements where q be a prime power. Among the classes of constacyclic codes of length 5ℓps over \(\mathbb{F}\)q we define an equivalence relation such that the classes of constacyclic codes which have the same structure are viewed to be equivalent. In this paper we classify the classes of constacyclic codes of length 5ℓ and give the explicit generator polynomials of all the constacyclic codes and their dual codes.