Authentication from matrix conjugation

Dima Grigoriev; Vladimir Shpilrain

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arXiv · 1010.5034

Authentication from matrix conjugation

Dima Grigoriev·Vladimir Shpilrain

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Abstract

We propose an authentication scheme where forgery (a.k.a. impersonation) seems infeasible without finding the prover's long-term private key. The latter would follow from solving the conjugacy search problem in the platform (noncommutative) semigroup, i.e., to recovering X from X^{-1}AX and A. The platform semigroup that we suggest here is the semigroup of nxn matrices over truncated multivariable polynomials over a ring.

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Dima Grigoriev, Vladimir Shpilrain. 2010-10-25. Authentication from matrix conjugation. https://arxiv.org/abs/1010.5034

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