Cryptology ePrint Archive: Report 2016/171

Commutativity, Associativity, and Public Key Cryptography

Jacques Patarin and Valérie Nachef

Abstract: 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.

Category / Keywords: public-key cryptography / Diffie-Hellman algorithms, Tchebychev Polynomials, New Public Key Algorithms

Date: received 19 Feb 2016, last revised 18 Oct 2017

Contact author: valerie nachef at u-cergy fr

Available format(s): PDF | BibTeX Citation

Note: Revised version with more details for some sections.

Version: 20171018:083637 (All versions of this report)

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