English

Authentication from matrix conjugation

Cryptography and Security 2010-10-26 v1

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.

Keywords

Cite

@article{arxiv.1010.5034,
  title  = {Authentication from matrix conjugation},
  author = {Dima Grigoriev and Vladimir Shpilrain},
  journal= {arXiv preprint arXiv:1010.5034},
  year   = {2010}
}

Comments

6 pages

R2 v1 2026-06-21T16:33:30.645Z