从混合维度结构并行构建恒定维度代码

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-11-09 DOI:10.1007/s10623-024-01518-3

Xianmang He, Zusheng Zhang, Si Tian, Jingli Wang, Yindong Chen

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引用次数: 0

摘要

在过去的十年中，学术界一直在追求恒维编码（简称 CDC）的心度改进。Lao 等人（IEEE Trans Inf Theory 69(7):4333-4344, 2023）指出，混合维度子空间编码可用于构造大型恒维子空间编码。对 CDC 构建的探索转化为寻找具有大维分布的混合维/距离子空间码。在本文中，我们将并行构造应用于这种混合维度构造，从而贡献了大约 80 多个新的常维码。

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Parallel construction for constant dimension codes from mixed dimension construction

The community has been pursuing improvements in the cardinalities for constant dimensional codes (CDC for short) for the past decade. Lao et al. (IEEE Trans Inf Theory 69(7):4333–4344, 2023) has shown that mixed dimension subspace codes can be used to construct large constant dimension subspace codes. The exploration of the CDCs’ construction is transformed into finding mixed dimension/distance subspace codes with large dimension distributions. In this paper, we apply the parallel construction to this mixed dimension construction, which allows us to contribute approximately more than 80 new constant dimension 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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