[Resource Topic] 2010/024: Authentication schemes from actions on graphs, groups, or rings

Welcome to the resource topic for 2010/024

Title:
Authentication schemes from actions on graphs, groups, or rings

Authors: Dima Grigoriev, Vladimir Shpilrain

Abstract:

We propose a couple of general ways of constructing 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 authentication schemes with long-term private keys where forgery (a.k.a. impersonation) is NP-hard. Computationally hard problems that can be employed in these realizations include Graph Colorability, Diophantine Problem, and many others.

ePrint: https://eprint.iacr.org/2010/024

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