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Cryptoanalysis of a tropical triad matrix semiring key exchange protocol

Published: March 6, 2025 | arXiv ID: 2503.04555v1

By: Alvaro Otero Sanchez

Potential Business Impact:

Makes secret codes harder for hackers to break.

Business Areas:
Cryptocurrency Financial Services, Payments, Software

This article analyzes a key exchange protocol based on the triad tropical semiring, recently proposed by Jackson, J. and Perumal, R. We demonstrate that the triad tropical semiring is isomorphic to a circulant matrix over tropical numbers. Consequently, matrices in this semiring can be represented as tropical matrices. As a result, we conduct a cryptanalysis of the key exchange protocol using an algorithm introduced by Sulaiman Alhussaini, Craig Collett, and Sergei Sergeev to solve the double discrete logarithm problem over tropical matrices

Page Count
9 pages

Category
Mathematics:
Commutative Algebra