Symmetric 2-adic complexity of Tang–Gong interleaved sequences from generalized GMW sequence pair

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-04-16 DOI:10.1007/s10623-024-01399-6

Bo Yang, Kangkang He, Xiangyong Zeng, Zibi Xiao

引用次数: 0

Abstract

Tang–Gong interleaved sequences constructed from the generalized GMW sequence pair are a class of binary sequences with optimal autocorrelation magnitude. In this paper, the symmetric 2-adic complexity of these sequences is investigated. We first derive a lower bound on their 2-adic complexity by extending the method proposed by Hu. Then, by analysing the algebraic structure of these sequences, a lower bound on their symmetric 2-adic complexity is obtained. Our result shows that the symmetric 2-adic complexity of these sequences is large enough to resist attacks with the rational approximation algorithm.

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来自广义 GMW 序列对的唐-龚交错序列的对称 2-adic 复杂性

由广义 GMW 序列对构建的 Tang-Gong 交错序列是一类具有最佳自相关幅度的二进制序列。本文研究了这些序列的对称 2-adic 复杂性。我们首先通过扩展 Hu 提出的方法，推导出这些序列的 2-adic 复杂度下限。然后，通过分析这些序列的代数结构，得到其对称 2-adic 复杂度的下界。我们的结果表明，这些序列的对称 2-adic 复杂度足够大，足以抵御有理近似算法的攻击。

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

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.