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 ${\mathbb{F}}_{p^r}$ is the residue field of $R$, and we provide some results of its relative growth.

Submitted to Finite Fields and Their Applications

References in corpus (1)

• On the Lattice of Cyclic Linear Codes Over Finite Chain Rings