Constructions and Invariants of Optimal Codes in the Lee Metric

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

Problems of Information Transmission Pub Date : 2023-12-23 DOI:10.1134/s0032946023020011

I. Yu. Mogilnykh, F. I. Solov’eva

引用次数: 0

Abstract

We propose concatenation and switching methods for the construction of single-error-correcting perfect and diameter codes in the Lee metric. We analyze ranks and kernels of diameter perfect codes obtained by the switching construction.

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李公设中最优编码的构造和不变式

我们提出了在李度量中构建单纠错完美码和直径码的连接和切换方法。我们分析了通过切换构造获得的直径完全码的秩和核。

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.