Paper 2024/519

On implementation of Stickel's key exchange protocol over max-min and max-$T$ semirings

Sulaiman Alhussaini, University of Birmingham
Serge˘ı Sergeev, University of Birmingham
Abstract

Given that the tropical Stickel protocol and its variants are all vulnerable to the generalized Kotov-Ushakov attack, we suggest employing the max-min semiring and, more generally, max-$T$ semiring where the multiplication is based on a $T-$norm, as a framework to implement the Stickel protocol. While the Stickel protocol over max-min semiring or max-$T$ semiring remains susceptible to a form of Kotov-Ushakov attack, we demonstrate that it exhibits significantly increased resistance against this attack when compared to the tropical (max-plus) implementation.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
Keywords
public key cryptographycryptographic attackStickel protocolfuzzy algebrafuzzy relation equations
Contact author(s)
s alhussaini @ bham ac uk
s sergeev @ bham ac uk
History
2024-04-06: approved
2024-04-02: received
See all versions
Short URL
https://ia.cr/2024/519
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/519,
      author = {Sulaiman Alhussaini and Serge˘ı Sergeev},
      title = {On implementation of Stickel's key exchange protocol over max-min and max-$T$ semirings},
      howpublished = {Cryptology ePrint Archive, Paper 2024/519},
      year = {2024},
      note = {\url{https://eprint.iacr.org/2024/519}},
      url = {https://eprint.iacr.org/2024/519}
}
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