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arXiv · 0802.1661

Zero-knowledge authentication schemes from actions on graphs, groups, or rings

Dima Grigoriev·Vladimir Shpilrain
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Abstract

We propose a general way of constructing zero-knowledge authentication schemes from actions of a semigroup on a set, without exploiting any specific algebraic properties of the set acted upon. Then we give several concrete realizations of this general idea, and in particular, we describe several zero-knowledge authentication schemes where forgery (a.k.a. impersonation) is NP-hard. Computationally hard problems that can be employed in these realizations include (Sub)graph Isomorphism, Graph Colorability, Diophantine Problem, and many others.

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Dima Grigoriev, Vladimir Shpilrain. 2008-02-12. Zero-knowledge authentication schemes from actions on graphs, groups, or rings. https://arxiv.org/abs/0802.1661

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