Galois hulls of cyclic serial codes over a finite chain ring
Information Theory
2021-02-16 v1 Discrete Mathematics
math.IT
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 -dimension of the Euclidean hull, where is the residue field of , and we provide some results of its relative growth.
Keywords
Cite
@article{arxiv.2102.06995,
title = {Galois hulls of cyclic serial codes over a finite chain ring},
author = {Sarra Talbi and Aicha Batoul and Alexandre Fotue Tabue and Edgar Martínez-Moro},
journal= {arXiv preprint arXiv:2102.06995},
year = {2021}
}
Comments
Submitted to Finite Fields and Their Applications