Tropical Cryptography
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Publication:5412101
DOI10.1080/00927872.2013.766827zbMath1301.94114arXiv1301.1195OpenAlexW3037138299MaRDI QIDQ5412101
Vladimir Shpilrain, Dima Yu. Grigoriev
Publication date: 25 April 2014
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.1195
Related Items (16)
Some new platforms for algebraic cryptography and one method of increasing the security ⋮ Towards an operad-based cryptography: applications of commutative operads ⋮ On the tropical discrete logarithm problem and security of a protocol based on tropical semidirect product ⋮ Upper and lower bounds for Grigoriev's algorithm for solving integral tropical linear systems ⋮ Algebraic generalization of Diffie-Hellman key exchange ⋮ On the efficiency of a general attack against the MOBS cryptosystem ⋮ Monoidal categories, representation gap and cryptography ⋮ Derivations of some classes of additively idempotent semirings ⋮ Modifying the tropical version of Stickel's key exchange protocol. ⋮ Tropical effective primary and dual Nullstellensätze ⋮ Cryptography from the tropical Hessian pencil ⋮ Analysis of a key exchange protocol based on tropical matrix algebra ⋮ Remarks on a tropical key exchange system ⋮ Tropical cryptography II: Extensions by homomorphisms ⋮ Key exchange protocol based upon a modified tropical structure ⋮ Some new semiring structures
Cites Work
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- Cryptanalysis of a 2-party key establishment based on a semigroup action problem
- Hard problems in max-algebra, control theory, hypergraphs and other areas
- On the frontiers of polynomial computations in tropical geometry
- Cryptanalysing variants of Stickel's key agreement scheme
- Cryptanalysis of Stickel’s Key Exchange Scheme
- Max-linear Systems: Theory and Algorithms
- A public key system with signature and master key functions
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