基于改进热带结构的密钥交换协议的密码分析

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-03 DOI:10.1007/s10623-024-01469-9

Huawei Huang, Changgen Peng, Lunzhi Deng

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引用次数: 0

摘要

本文分析了 Ahmed 等人在 2023 年提出的基于修正热带结构的密钥交换协议。结果表明，修正的热带结构与热带圆矩阵结构同构。因此，该修正热带配系中的矩阵可以表示为热带矩阵，而密钥交换协议实际上是基于热带矩阵配系的。热带不可还原矩阵表现出几乎线性的周期特性。本文设计了计算不可还原矩阵线性周期和缺陷的高效算法。根据协议的公开信息，可以计算出等价私钥，然后很容易得到共享密钥。分析表明，基于这种改进的热带结构的密钥交换协议并不安全。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Cryptanalysis of a key exchange protocol based on a modified tropical structure

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Cryptanalysis of a key exchange protocol based on a modified tropical structure

This article analyzes a key exchange protocol based on a modified tropical structure proposed by Ahmed et al. in 2023. It is shown that the modified tropical semiring is isomorphic to the \(2\times 2\) tropical circular matrix semiring. Therefore, matrices in this modified tropical semiring can be represented as tropical matrices, and the key exchange protocol is actually based on the tropical matrix semiring. Tropical irreducible matrices exhibit almost linear periodic property. Efficient algorithms for calculating the linear period and defect of irreducible matrices are designed. Based on the public information of the protocol, the equivalent private key can be computed and then the shared key is easily obtained. The analysis shows that the key exchange protocol based on this modified tropical structure is not secure.

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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.