围绕 LCD 组代码

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-05 DOI:10.1007/s10623-024-01451-5

Javier de la Cruz, Wolfgang Willems

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引用次数: 0

摘要

在这篇笔记中，我们回答了德拉克鲁兹和维尔姆斯（Des Codes Cryptogr 86:2065-2073, 2018）和（Vietnam J Math 51:721-729, 2023）中提出的一些关于（\text{ LCD }\ ）群码的问题。此外，在素域上，我们完全确定了一个 \(\text{ LCD }\) 群码的除数的 p 部分。此外，我们还提出了一种近（text{ LCD }\ ）码的自然构造。

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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Around LCD group codes

In this note we answer some questions on \(\text{ LCD }\) group codes posed in de la Cruz and Willems (Des Codes Cryptogr 86:2065–2073, 2018) and (Vietnam J Math 51:721–729, 2023). Furthermore, over prime fields we determine completely the p-part of the divisor of an \(\text{ LCD }\) group code. In addition we present a natural construction of nearly \(\text{ LCD }\) codes.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.