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

Ivan Buchinskiy; Matvei Kotov; Alexander Treier

Paper 2022/1644

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

Ivan Buchinskiy

, Sobolev Institute of Mathematics of SB RAS

Matvei Kotov

, Sobolev Institute of Mathematics of SB RAS

Alexander Treier

, 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. This preprint has not undergone peer review (when applicable) or any post-submission improvements or corrections. The Version of Record of this article is published in Indian Journal of Pure and Applied Mathematics, and is available online at https://doi.org/10.1007/s13226-023-00469-0.

Metadata

Available format(s): PDF
Category: Attacks and cryptanalysis
Publication info: Published elsewhere. Minor revision. Indian Journal of Pure and Applied Mathematics
DOI: 10.1007/s13226-023-00469-0
Keywords: key exchange protocol tropical algebra max-times algebra min-times algebra matrix powers
Contact author(s): buchvan @ mail ru
matvej kotov @ gmail com
alexander treyer @ gmail com
History: 2023-07-25: revised; 2022-11-25: received; See all versions
Short URL: https://ia.cr/2022/1644
License: CC BY

BibTeX

@misc{cryptoeprint:2022/1644,
      author = {Ivan Buchinskiy and Matvei Kotov and Alexander Treier},
      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},
      doi = {10.1007/s13226-023-00469-0},
      url = {https://eprint.iacr.org/2022/1644}
}