A Practical Attack on a Certain Braid Group Based Shifted Conjugacy Authentication Protocol

Abstract

In this paper we modify the technique of cyclic permutations to work with the shifted conjugacy problem. We apply this technique to design a heuristic attack on the cryptographic authentication scheme based on shifted conjugacy of braids proposed by Dehornoy in [Using shifted conjugacy in braid-based cryptography, American Mathematical Society, 2006] and report experimental results.