An attack on a key exchange protocol based on max-times and min-times algebras

Matvei Kotov; Alexander Treier; Ivan Buchinskiy

Paper 2022/1644

An attack on a key exchange protocol based on max-times and min-times algebras

Matvei Kotov

, Sobolev Institute of Mathematics of SB RAS

Alexander Treier

, Sobolev Institute of Mathematics of SB RAS

Ivan Buchinskiy

, Sobolev Institute of Mathematics of SB RAS

Abstract

In this paper, we examine one of the public key exchange protocols proposed in [M. I. Durcheva. An application of different dioids in public key cryptography. In AIP Conference Proceedings, vol. 1631, pp 336-343. AIP, 2014] which uses max-times and min-times algebras. We discuss properties of powers of matrices over these algebras and introduce a fast attack on this protocol.

Metadata

Available format(s): PDF
Category: Attacks and cryptanalysis
Publication info: Preprint.
Keywords: key exchange protocol tropical algebra max-times algebra min-times algebra matrix powers
Contact author(s): matvej kotov @ gmail com
alexander treyer @ gmail com
buchvan @ mail ru
History: 2022-11-28: approved; 2022-11-25: received; See all versions
Short URL: https://ia.cr/2022/1644
License: CC BY

BibTeX

@misc{cryptoeprint:2022/1644,
      author = {Matvei Kotov and Alexander Treier and Ivan Buchinskiy},
      title = {An attack on a key exchange protocol based on max-times and min-times algebras},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1644},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/1644}},
      url = {https://eprint.iacr.org/2022/1644}
}