Using shifted conjugacy in braid-based cryptography

Patrick Dehornoy

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arXiv · cs/0609091

Using shifted conjugacy in braid-based cryptography

Patrick Dehornoy

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Abstract

Conjugacy is not the only possible primitive for designing braid-based protocols. To illustrate this principle, we describe a Fiat--Shamir-style authentication protocol that be can be implemented using any binary operation that satisfies the left self-distributive law. Conjugation is an example of such an operation, but there are other examples, in particular the shifted conjugation on Artin's braid group B\_oo, and the finite Laver tables. In both cases, the underlying structures have a high combinatorial complexity, and they lead to difficult problems.

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Patrick Dehornoy. 2006-09-16. Using shifted conjugacy in braid-based cryptography. https://arxiv.org/abs/cs/0609091

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