Linear codes and cyclic codes over finite rings and their generalizations: a survey

IF 0.4 Q4 MATHEMATICS

Electronic Journal of Graph Theory and Applications Pub Date : 2023-10-24 DOI:10.5614/ejgta.2023.11.2.11

Djoko Suprijanto

引用次数: 0

Abstract

We survey a recent progress of cyclic codes over finite rings and their generalization to skew cyclic as well as skew cyclic codes with derivation over finite rings, focusing on structural properties of the codes. We also report recent developments on the construction methods of linear codes from graphs, in particular strongly regular as well as distance regular graphs.

查看原文本刊更多论文

有限环上的线性码和循环码及其推广:综述

本文综述了有限环上循环码的最新研究进展，并将其推广到有限环上的斜循环码和有导数的斜循环码，重点讨论了这些码的结构性质。我们还报告了图的线性码的构造方法的最新进展，特别是强正则图和距离正则图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Electronic Journal of Graph Theory and Applications MATHEMATICS-

CiteScore

1.20

自引率

28.60%

发文量

审稿时长

52 weeks

期刊介绍： We publish research articles written in English in all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences.