Cryptoanalysis of a tropical triad matrix semiring key exchange protocol
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929745343545344 |
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| author | Sanchez, Alvaro Otero |
| author_facet | Sanchez, Alvaro Otero |
| contents | 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04555 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cryptoanalysis of a tropical triad matrix semiring key exchange protocol Sanchez, Alvaro Otero Commutative Algebra Cryptography and Security Algebraic Geometry 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 |
| title | Cryptoanalysis of a tropical triad matrix semiring key exchange protocol |
| topic | Commutative Algebra Cryptography and Security Algebraic Geometry |
| url | https://arxiv.org/abs/2503.04555 |