Commutativity, Associativity, and Public Key Cryptography

机译：可交换性，关联性和公钥密码术

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In this paper, we will study some possible generalizations of the famous Diffie-Hellman algorithm. As we will see, at the end, most of these generalizations will not be secure or will be equivalent to some classical schemes. However, these results are not always obvious and moreover our analysis will present some interesting connections between the concepts of commutativity, associativity, and public key cryptography.

机译：在本文中，我们将研究著名的Diffie-Hellman算法的一些可能的概括。正如我们将看到的，最后，这些概括中的大多数都不安全或等同于某些经典方案。但是，这些结果并不总是显而易见的，而且我们的分析将在可交换性，关联性和公共密钥密码学概念之间提出一些有趣的联系。

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来源
《Number-theoretic methods in cryptology》|2017年|104-117|共14页
会议地点 Warsaw(PL)
作者
Jacques Patarin; Valerie Nachef;
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作者单位

Laboratoire de Mathematiques de Versailles, UVSQ, CNRS, Universite de Paris-Saclay, 78035 Versailles, France;

Department of Mathematics, University of Cergy-Pontoise, UMR CNRS 8088, 95000 Cergy-Pontoise. France;

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原文格式 PDF
正文语种 eng
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关键词
Diffie-Hellman algorithms; Chebyshev polynomials New public key algorithms;

机译：Diffie-Hellman算法； Chebyshev多项式新的公钥算法;

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专利

1. RSA and Public-Key Cryptography Introduction to Cryptography Cryptography: Theory and Practice Algebraic Aspects of Cryptography Elliptic Curves: Number Theory and Cryptography Elliptic Curves in Cryptography Modern Cryptography, Probabilistic Proofs, and Pseudorandomness Foundations of Cryptography: Basic Tools The Design of Rijndael: AES --- the Advanced Encryption Standard Handbook of Applied Cryptography [J] . Susan Landau Bulletin of the American Mathematical Society . 2004,第3期

机译：RSA和公钥密码学密码学简介密码学：密码学的理论和实践椭圆曲线的密码学：密码学中的数论和密码学椭圆曲线现代密码学，概率证明和伪随机性基础密码学：基本工具Rijndael的设计： -应用密码学高级加密标准手册
2. Network based Security model using Symmetric Key Cryptography (AES 256? Rijndael Algorithm) with Public Key Exchange Protocol (Diffie-Hellman Key Exchange Protocol) [J] . Nitin K. Jharbade, Rajesh Shrivastava International journal of computer science and network security . 2012,第8期

机译：基于网络的安全模型，使用对称密钥密码术（AES 256？Rijndael算法）和公共密钥交换协议（Diffie-Hellman密钥交换协议）
3. Network based Security model using Symmetric Key Cryptography (AES 256- Rijndael Algorithm) with Public Key Exchange Protocol (Diffie-Hellman Key Exchange Protocol) [J] . Nitin K. Jharbude, Rajesh Shrivastava International journal of computer science and network security . 2012,第8期

机译：基于网络的安全模型，使用对称密钥加密（AES 256- Rijndael算法）和公共密钥交换协议（Diffie-Hellman密钥交换协议）
4. Commutativity, Associativity, and Public Key Cryptography [C] . Jacques Patarin, Valerie Nachef International Conference on Number-Theoretic Methods in Cryptology . 2018

机译：换向，关联和公钥密码学
5. Efficient and Secure Implementation of Secret-Key and Post-Quantum Public-Key Cryptography with Applications in Internet of Things, Cloud Computing, and Hardware Security [D] . Farahmand, Farnoud. 2020

机译：秘密和安全地实现秘密密钥和Quantum公钥加密，在物联网上，云计算和硬件安全性
6. White Box Implementations Using Non-Commutative Cryptography [O] . Leandro Marin 2019

机译：使用非交换密码的白盒实现
7. Non-associative public-key cryptography [O] . Kalka, Arkadius 2012

机译：非关联公钥加密

Commutativity, Associativity, and Public Key Cryptography

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