Semidirect Product Key Exchange: the State of Play

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Algebra and Its Applications Pub Date : 2023-10-27 DOI:10.1142/s0219498825500665

Christopher Battarbee, Delaram Kahrobaei, Siamak F. Shahandashti

引用次数: 3

Abstract

Of the many families of cryptographic schemes proposed to be post-quantum, a relatively unexplored set of examples comes from group-based cryptography. One of the more central schemes from this area is the so-called Semidirect Product Key Exchange (SDPKE), a generalization of Diffie–Hellman Key Exchange that is plausibly post-quantum. In this report we survey the state of the literature relating to SDPKE, providing a high-level discussion of security, as well as a comprehensive overview of the proposed platforms and the main cryptanalytic ideas relevant to each.

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半直接产品密钥交换:游戏状态

在许多被提出的后量子加密方案中，一组相对未被探索的例子来自基于群的加密。该领域较为核心的方案之一是所谓的半直接产品密钥交换(SDPKE)，它是后量子时代的Diffie-Hellman密钥交换的一种推广。在本报告中，我们调查了与SDPKE相关的文献状况，提供了对安全性的高级讨论，以及对所提议的平台和与每个平台相关的主要密码分析思想的全面概述。

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

Journal of Algebra and Its Applications 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

226

审稿时长

4-8 weeks

期刊介绍： The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.