利用线路进行局部恢复的曲线提升代码

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-17 DOI:10.1007/s10623-024-01456-0

Gretchen L. Matthews, Travis Morrison, Aidan W. Murphy

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引用次数: 0

摘要

在本文中，我们受到在 \(\mathbb {F}_{2^r}\) 上的赫米提码的启发，介绍了任意特征域上的曲线提码。这些代码是为本地性和可用性而设计的，它们的特定参数取决于曲线的选择及其特性。由于构造的原因，曲线与直线之间的有理交点的数量起着关键作用。为了证明这一点并生成具有高可用性的本地可恢复编码（LRCs）的新系列，我们将重点放在规范轨迹提升编码上。

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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Curve-lifted codes for local recovery using lines

In this paper, we introduce curve-lifted codes over fields of arbitrary characteristic, inspired by Hermitian-lifted codes over \(\mathbb {F}_{2^r}\). These codes are designed for locality and availability, and their particular parameters depend on the choice of curve and its properties. Due to the construction, the numbers of rational points of intersection between curves and lines play a key role. To demonstrate that and generate new families of locally recoverable codes (LRCs) with high availabilty, we focus on norm-trace-lifted 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.

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