Some subfield codes from MDS codes

IF 0.7 4区计算机科学 Q3 COMPUTER SCIENCE, THEORY & METHODS

Advances in Mathematics of Communications Pub Date : 2023-01-01 DOI:10.3934/amc.2021023

Can Xiang, Jinquan Luo

引用次数: 1

Abstract

Subfield codes of linear codes over finite fields have recently received a lot of attention, as some of these codes are optimal and have applications in secrete sharing, authentication codes and association schemes. In this paper, a class of binary subfield codes is constructed from a special family of MDS codes, and their parameters are explicitly determined. The parameters of their dual codes are also studied. Some of the codes presented in this paper are optimal or almost optimal.

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MDS代码中的一些子字段代码

有限域上线性码的子域码近年来受到了广泛的关注，因为其中一些子域码是最优的，在秘密共享、认证码和关联方案中有广泛的应用。本文利用一类特殊的MDS码构造了一类二进制子域码，并明确了它们的参数。研究了它们的双码参数。本文提出的一些编码是最优的或几乎最优的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Mathematics of Communications 工程技术-计算机：理论方法

CiteScore

2.20

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Mathematics of Communications (AMC) publishes original research papers of the highest quality in all areas of mathematics and computer science which are relevant to applications in communications technology. For this reason, submissions from many areas of mathematics are invited, provided these show a high level of originality, new techniques, an innovative approach, novel methodologies, or otherwise a high level of depth and sophistication. Any work that does not conform to these standards will be rejected. Areas covered include coding theory, cryptology, combinatorics, finite geometry, algebra and number theory, but are not restricted to these. This journal also aims to cover the algorithmic and computational aspects of these disciplines. Hence, all mathematics and computer science contributions of appropriate depth and relevance to the above mentioned applications in communications technology are welcome. More detailed indication of the journal''s scope is given by the subject interests of the members of the board of editors.