On cyclic and negacyclic codes of length 8ℓmpn over finite field

Abstract

Let [Formula: see text] be finite field with [Formula: see text] elements, where [Formula: see text] be power of an odd prime [Formula: see text] In this paper, we determine generator polynomials of all cyclic and negacyclic codes of length [Formula: see text] over [Formula: see text] where [Formula: see text] are distinct odd primes and [Formula: see text] are positive integers. We also determine all self-dual, self-orthogonal, complementary-dual cyclic and negacyclic codes of length [Formula: see text] over [Formula: see text]