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Journal of Mathematical Cryptology

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Cryptanalysis of the shifted conjugacy authentication protocol

Jonathan Longrigg1 / Alexander Ushakov2

1 Department of Mathematics, University of Newcastle, Newcastle, NE1 7RU, UK. Email:

2 Department of Mathematics, Stevens Institute of Technology, Hoboken, NJ 07030, USA. Email:

Citation Information: Journal of Mathematical Cryptology. Volume 2, Issue 2, Pages 109–116, ISSN (Online) 1862-2984, ISSN (Print) 1862-2976, DOI: 10.1515/JMC.2008.005, September 2008

Publication History

Received:
2007-04-18
Revised:
2007-11-08
Published Online:
2008-09-11

Abstract

In this paper we present the first practical attack on the shifted conjugacy-based authentication protocol proposed by P. Dehornoy in [P. Dehornoy, Using shifted conjugacy in braid-based cryptography, Algebraic Methods in Cryptography, Contemporary Mathematics 418, American Mathematical Society, 2006, pp. 65–74.]. We discuss the weaknesses of that primitive and propose ways to improve the protocol.

Keywords.: Braid group cryptography; authentication protocol; shifted conjugacy; ultra summit set; centralizer

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