Galois hulls of cyclic serial codes over a finite chain ring

Abstract

In this paper we explore some properties of Galois hulls of cyclic serial codes over a chain ring and we devise an algorithm for computing all the possible parameters of the Euclidean hulls of that codes. We also establish the average p r -dimension of the Euclidean hull, where F p r is the residue field of R, and we provide some results of its relative growth.