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Communications in Algebra Volume 47, 2019 - Issue 10
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Articles

Tropical cryptography II: Extensions by homomorphisms

Dima GrigorievCNRS, Mathématiques, Université de Lille, Villeneuve d’Ascq, France; View further author information
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Vladimir ShpilrainDepartment of Mathematics, The City College of New York, New York, NY, USACorrespondence[email protected]
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Pages 4224-4229 | Received 21 Nov 2018, Accepted 13 Jan 2019, Published online: 04 Apr 2019

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Read on this site (5)

K. Ahmed, S. Pal & R. Mohan. (2023) A review of the tropical approach in cryptography. Cryptologia 47:1, pages 63-87.
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K. Ahmed, S. Pal & R. Mohan. (2023) Key exchange protocol based upon a modified tropical structure. Communications in Algebra 51:1, pages 214-223.
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Any Muanalifah & Sergeĭ Sergeev. (2022) On the tropical discrete logarithm problem and security of a protocol based on tropical semidirect product. Communications in Algebra 50:2, pages 861-879.
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Steve Isaac & Delaram Kahrobaei. (2021) A closer look at the tropical cryptography. International Journal of Computer Mathematics: Computer Systems Theory 6:2, pages 137-142.
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Sulaiman Alhussaini, Craig Collett & Sergeĭ Sergeev. On the tropical two-sided discrete logarithm and a key exchange protocol based on the tropical algebra of pairs. Communications in Algebra 0:0, pages 1-24.
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Articles from other publishers (14)

Huawei Huang, Weisha Kong & Ting Xu. (2024) Asymmetric Cryptography Based on the Tropical Jones Matrix. Symmetry 16:4, pages 456.
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Martin Rachev & Ivan Trendafilov. (2024) Amitsur's theorem, semicentral idempotents, and additively idempotent semirings. Open Mathematics 22:1.
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Mikhail Khovanov, Maithreya Sitaraman & Daniel Tubbenhauer. (2024) Monoidal categories, representation gap and cryptography. Transactions of the American Mathematical Society, Series B 11:10, pages 329-395.
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利萍 张. (2024) Study on 2 × 2 Quasi-Invertible Matrices over S<sub>max</sub>. Pure Mathematics 14:01, pages 341-346.
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Ponmaheshkumar A & Perumal R. (2023) Toeplitz matrices based key exchange protocol for the internet of things. International Journal of Information Technology 16:1, pages 293-300.
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Ivan Buchinskiy, Matvei Kotov & Alexander Treier. (2023) An attack on a key exchange protocol based on max-times and min-times algebras. Indian Journal of Pure and Applied Mathematics.
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B. Amutha & R. Perumal. (2023) Public key exchange protocols based on tropical lower circulant and anti circulant matrices. AIMS Mathematics 8:7, pages 17307-17334.
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Huawei Huang. (2022) Cryptosystems Based on Tropical Congruent Transformation of Symmetric Matrices. Symmetry 14:11, pages 2378.
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Huawei Huang & Chunhua Li. (2022) Tropical Cryptography Based on Multiple Exponentiation Problem of Matrices. Security and Communication Networks 2022, pages 1-9.
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Kashif Ahmed, Saibal Pal & Radha Mohan. (2021) Some new semiring structures. Asian-European Journal of Mathematics 15:09.
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Huawei Huang, Chunhua Li & Lunzhi Deng. (2022) Public-Key Cryptography Based on Tropical Circular Matrices. Applied Sciences 12:15, pages 7401.
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Nael Rahman & Vladimir Shpilrain. (2022) MAKE: A matrix action key exchange. Journal of Mathematical Cryptology 16:1, pages 64-72.
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Nikolai Krivulin. (2021) Algebraic Solution of Tropical Polynomial Optimization Problems. Mathematics 9:19, pages 2472.
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Dylan Rudy & Chris Monico. (2020) Remarks on a Tropical Key Exchange System. Journal of Mathematical Cryptology 15:1, pages 280-283.
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