Симетрична система обміну інформацією на основі ізоморфізму кілець / Кривий С. Л., Опанасенко В. М., Гріненко О. О., Нортман Ю. О. (2022)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2022, 58 (5))

Kryvyi S.L., Opanasenko V.N., Grinenko E.A., Nortman Y.A.
Symmetric information exchange system based on ring isomorphism

Algorithms for exchanging messages between subscribers are proposed based on the properties of finite associative-commutative rings with unity and Diophantine equations over such rings. Algorithms for constructing finite rings whose additive groups are full-cycle, and algorithms for constructing isomorphisms between a ring of kth order whose additive group is full-cycle and the residue ring Zk modulo k are presented. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: algorithm, cryptographic protocol, isomorphism, ring, Set theory, Associative-commutative, Commutative ring, Cryptographic protocols, Diophantine equation, Full cycles, Information exchange system, Isomorphism, Property, Ring isomorphism, Symmetrics, Additives


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Cite:
Kryvyi S.L., Opanasenko V.N., Grinenko E.A., Nortman Y.A. (2022). Symmetric information exchange system based on ring isomorphism. Cybernetics and Systems Analysis, 58 (5), 3–15. doi: https://doi.org/10.1007/s10559-022-00500-y http://jnas.nbuv.gov.ua/article/UJRN-0001348605 [In Ukrainian].


 

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