Method of Security Improvement for MST3 Cryptosystem Based on Automorphism Group of Ree Function Field

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dc.contributor.authorKotukh, Yevgen
dc.contributor.authorKhalimov, Gennady
dc.contributor.authorKorobchinskiy, Maxim
dc.date.accessioned2023-11-22T11:47:09Z
dc.date.available2023-11-22T11:47:09Z
dc.date.issued2023
dc.description.abstractThis article is a part of a research endeavor focused on creating a quantum-resistant cryptosystem for secure encryption and decryption. Our approach employs a challenging word problem while emphasizing cost-effective implementation. Previous research has involved the development of encryption schemes based on high-order groups, offering potential security enhancements. The choice of the non-abelian group is a critical factor in shaping the encryption algorithms, feasibility of implementation, and system parameters. Our central objective is to design a cryptosystem that effectively thwarts quantum cryptanalysis. To achieve this, we employ a logarithmic signature along with a random cover across an entire finite non-abelian group. Our unique contribution lies in optimizing finite group selection, parameters, and circuit solutions for the logarithmic signature to meet specific security and implementation criteria. Within this paper, we introduce an encryption scheme utilizing automorphisms of the Ree functional field and propose a method for enhancing resistance to cryptanalysis through the binding of session keys.uk
dc.format.pagerangePp. 31-39uk
dc.identifier.citationKotukh, Ye. Method of Security Improvement for MST3 Cryptosystem Based on Automorphism Group of Ree Function Field / Yevgen Kotukh, Gennady Khalimov, Maxim Korobchinskiy // Theoretical and Applied Cybersecurity : scientific journal. – 2023. – Vol. 5, Iss. 2. – Pp. 31–39. – Bibliogr. 25 ref.uk
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132023.2.290414
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/62384
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.subjectMST3 cryptosystemuk
dc.subjectlogarithmic signatureuk
dc.subjectrandom coveruk
dc.subjectRee function fielduk
dc.subjectword problemuk
dc.subject.udc621.391:519.2uk
dc.titleMethod of Security Improvement for MST3 Cryptosystem Based on Automorphism Group of Ree Function Fielduk
dc.typeArticleuk

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