On the Classification of Completely Regular Codes with Covering Radius Two and Antipodal Duals

IF 0.5 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Problems of Information Transmission Pub Date : 2024-03-26 DOI:10.1134/s003294602303002x

J. Borges, V. A. Zinoviev, D. V. Zinoviev

引用次数: 0

Abstract

We classify all linear completely regular codes which have covering radius \(\rho=2\) and whose dual are antipodal. For this, we firstly show several properties of such dual codes, which are two-weight codes with weights \(d\) and \(n\).

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论覆盖半径为 2 和对偶的完全正则码的分类

我们对所有具有覆盖半径（\rho=2\）且其对偶码是对偶码的线性完全正则码进行了分类。为此，我们首先证明了这种对偶码的几个性质，它们是具有权值（d）和（n）的双权码。

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

Problems of Information Transmission 工程技术-计算机：理论方法

CiteScore

2.00

自引率

25.00%

发文量

审稿时长

>12 weeks

期刊介绍： Problems of Information Transmission is of interest to researcher in all fields concerned with the research and development of communication systems. This quarterly journal features coverage of statistical information theory; coding theory and techniques; noisy channels; error detection and correction; signal detection, extraction, and analysis; analysis of communication networks; optimal processing and routing; the theory of random processes; and bionics.