On Inverse Protocols of Post Quantum Cryptography Based on Pairs of Noncommutative Multivariate Platforms Used in Tandem

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dc.contributor.authorUstymenko, Vasyl
dc.date.accessioned2023-11-22T16:21:10Z
dc.date.available2023-11-22T16:21:10Z
dc.date.issued2023
dc.description.abstractNon-commutative cryptography studies cryptographic primitives and systems which are based on algebraic structures like groups, semigroups and noncommutative rings. We continue to investigate inverse protocols of Non-commutative cryptography defined in terms of subsemigroups of Affine Cremona Semigroups over finite fields or arithmetic rings Zm and homomorphic images of these semigroups as possible instruments of Post Quantum Cryptography. This approach allows to construct cryptosystem which are not public keys, when protocol finish correspondents have mutually inverse transformations on affine space K n or variety (K*)n where K is the field or arithmetic ring. The security of such inverse protocol rests on the complexity of word problem to decompose element of Affine Cremona Semigroup given in its standard form into composition of given generators. We discuss the idea of usage combinations of two cryptosystems with cipherspaces(K*)n and K n to form a new cryptosystem with the plainspace(K*)n , ciphertextK n and nonbijective highly nonlinear encryption map.uk
dc.format.pagerangePp. 15-24uk
dc.identifier.citationUstymenko, V. On Inverse Protocols of Post Quantum Cryptography Based on Pairs of Noncommutative Multivariate Platforms Used in Tandem / Vasyl Ustymenko // Theoretical and Applied Cybersecurity : scientific journal. – 2023. – Vol. 5, Iss. 2. – Pp. 15–24. – Bibliogr. 46 ref.uk
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132023.2.290413
dc.identifier.orcid0000-0002-2138-2357uk
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/62401
dc.language.isoenuk
dc.publisherIgor Sikorsky Kyiv Polytechnic Instituteuk
dc.publisher.placeKyivuk
dc.relation.ispartofTheoretical and Applied Cybersecurity: scientific journal, Vol. 5, No. 2uk
dc.subjectMultivariate Cryptographyuk
dc.subjectNoncommutative Cryptographyuk
dc.subjectstable transformation groups and semigroupsuk
dc.subjectsemigroups of monomial transformationsuk
dc.subjectword problem for nonlinear multivariate mapsuk
dc.subjecthidden tame homomorphismsuk
dc.subjectkey exchange protocolsuk
dc.subjectcryptosystemsuk
dc.subjectlinguistic graphsuk
dc.subject.udc519.1, 514.128uk
dc.titleOn Inverse Protocols of Post Quantum Cryptography Based on Pairs of Noncommutative Multivariate Platforms Used in Tandemuk
dc.typeArticleuk

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Theoretical and Applied Cybersecurity: scientific journal, Vol. 5, No. 2