Cryptanalysis of a key exchange protocol based on a digital semiring Full article
| Journal |
Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125 |
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| Output data | Year: 2025, DOI: 10.1080/00927872.2025.2509119 | ||||
| Tags | Branch and bound; cryptanalysis; digital semiring; max-min semiring; tropical cryptography | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 22-11-20019 |
Abstract:
This paper is devoted to tropical cryptography, a branch of non-commutative cryptography that uses tropical structures as platforms for cryptographic protocols. In this paper, we focus on the key exchange scheme based on a digital semiring proposed by Huang et al. [16]. Analyzing the protocol, we study systems of equations of degree two of a special form and suggest an algorithm to solve them based on the branch-and-bound approach. We show how this method can be used to attack this scheme. Additionally, we show that the 3-SAT can be reduced in polynomial time to the problem of solving systems of quadratic polynomial equations of a special form over this semiring.
Cite:
Ponmaheshkumar A.
, Kotov M.
, Perumal R.
Cryptanalysis of a key exchange protocol based on a digital semiring
Communications in Algebra. 2025. DOI: 10.1080/00927872.2025.2509119 Scopus OpenAlex
Cryptanalysis of a key exchange protocol based on a digital semiring
Communications in Algebra. 2025. DOI: 10.1080/00927872.2025.2509119 Scopus OpenAlex
Dates:
| Submitted: | Oct 9, 2024 |
| Accepted: | May 7, 2025 |
| Published online: | Jun 29, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105006985768 |
| OpenAlex: | W4410856622 |
Citing:
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