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Generalized Kotov-Ushakov Attack on Tropical Stickel Protocol Based on Modified Tropical Circulant Matrices

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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.
Original languageEnglish
Pages (from-to)603-623
Number of pages21
JournalKybernetika
Volume60
Issue number5
DOIs
Publication statusPublished - 31 Dec 2024

Keywords

  • public key cryptography
  • tropical cryptography
  • key exchange protocol

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