Authentication from Matrix Conjugation

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 n × n matrices over truncated multivariable polynomials over a ring.