Generalized Kotov-Ushakov attack on tropical Stickel protocol based on modified tropical circulant matrices

After the Kotov-Ushakov attack on the tropical implementation of Stickel protocol, various attempts have been made to create a secure variant of such implementation.Some of these attempts used a special class of commuting matrices resembling tropical circulants, and they have been proposed with claims of resilience against the Kotov-Ushakov attack, and even being potential post-quantum candidates.This paper, however, reveals that a form of the Kotov-Ushakov attack remains applicable and, moreover, there are heuristic implementations of that attack which have a polynomial time complexity and show an overwhelmingly good success rate.

Authors

Publication Details

Journal
Kybernetika
Published
2024-12-06
DOI
https://doi.org/10.14736/kyb-2024-5-0603
Citations
3
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
1.04
Controls
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article

Generalized Kotov-Ushakov attack on tropical Stickel protocol based on modified tropical circulant matrices

Sergeĭ Sergeev, Sulaiman Alhussaini, Craig Collett
3 citations
Kybernetika
Coding theory and cryptography
1.04
article

Generalized Kotov-Ushakov attack on tropical Stickel protocol based on modified tropical circulant matrices

Sergeĭ Sergeev, Sulaiman Alhussaini, Craig Collett
article en
3 citations

Abstract

After the Kotov-Ushakov attack on the tropical implementation of Stickel protocol, various attempts have been made to create a secure variant of such implementation.Some of these attempts used a special class of commuting matrices resembling tropical circulants, and they have been proposed with claims of resilience against the Kotov-Ushakov attack, and even being potential post-quantum candidates.This paper, however, reveals that a form of the Kotov-Ushakov attack remains applicable and, moreover, there are heuristic implementations of that attack which have a polynomial time complexity and show an overwhelmingly good success rate.

Kybernetika
Openalex Percentile: Top 18%
Coding theory and cryptography
1.04
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