Double Constacyclic Codes over Two Finite Commutative Chain Rings
Information Theory
2022-03-11 v1 math.IT
Abstract
Many kinds of codes which possess two cycle structures over two special finite commutative chain rings, such as -additive cyclic codes and quasi-cyclic codes of fractional index etc., were proved asymptotically good. In this paper we extend the study in two directions: we consider any two finite commutative chain rings with a surjective homomorphism from one to the other, and consider double constacyclic structures. We construct an extensive kind of double constacyclic codes over two finite commutative chain rings. And, developing a probabilistic method suitable for quasi-cyclic codes over fields, we prove that the double constacyclic codes over two finite commutative chain rings are asymptotically good.
Cite
@article{arxiv.2203.05301,
title = {Double Constacyclic Codes over Two Finite Commutative Chain Rings},
author = {Yun Fan and Hualu Liu},
journal= {arXiv preprint arXiv:2203.05301},
year = {2022}
}