Extremal graph theory and generation of quadratic multivariate transformations of Algebraic Post-Quantum Cryptography

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dc.contributor.authorUstymenko, Vasyl
dc.contributor.authorWróblewska, Aneta
dc.contributor.authorPustovit, Oleksandr
dc.date.accessioned2023-11-21T10:52:02Z
dc.date.available2023-11-21T10:52:02Z
dc.date.issued2023
dc.description.abstractWe introduce large groups of quadratic transformations of a vector space over the finite fields defined via symbolic computations with the usage of algebraic constructions of Extremal Graph Theory. They can serve as platforms for the protocols of Noncommutative Cryptography. The modifications of these symbolic computations in the case of large fields of characteristic two allow us to define quadratic bijective multivariate public keys such that the inverses of public maps has a large polynomial degree. We suggest the usage of constructed protocols for the private delivery of quadratic encryption maps instead of the public usage of these transformations.uk
dc.format.pagerangePp. 19-24uk
dc.identifier.citationUstymenko, V. Extremal graph theory and generation of quadratic multivariate transformations of Algebraic Post-Quantum Cryptography / Vasyl Ustymenko, Aneta Wróblewska, Oleksandr Pustovit // Theoretical and Applied Cybersecurity : scientific journal. – 2023. – Vol. 5, Iss. 1. – Pp. 19–24. – Bibliogr. 26 ref.uk
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132023.1.287748
dc.identifier.orcid0000-0001-9724-4586uk
dc.identifier.orcid0000-0002-2138-2357uk
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/62348
dc.language.isoenuk
dc.publisherIgor Sikorsky Kyiv Polytechnic Instituteuk
dc.publisher.placeKyivuk
dc.relation.ispartofTheoretical and Applied Cybersecurity: scientific journal, Vol. 5, No. 1uk
dc.subjectMultivariate Cryptographyuk
dc.subjectExtremal Graph Theoryuk
dc.subjectQuadratic multivariate rulesuk
dc.subjectNoncommutative Cryptographyuk
dc.subject.udc519.1, 514.128uk
dc.titleExtremal graph theory and generation of quadratic multivariate transformations of Algebraic Post-Quantum Cryptographyuk
dc.typeArticleuk

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Theoretical and Applied Cybersecurity: scientific journal, Vol. 5, No. 1