The Forgery Attack on the Post-Quantum AJPS-2 Cryptosystem and Modification of the AJPS-2 Cryptosystem by Changing the Class of Numbers Used as a Module

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dc.contributor.authorYadukha, Dariya
dc.date.accessioned2023-11-21T10:59:58Z
dc.date.available2023-11-21T10:59:58Z
dc.date.issued2023
dc.description.abstractIn recent years, post-quantum (quantum-resistant) cryptography has been actively researched, in particular, due to the National Institute of Standards and Technology’s (NIST) Post-Quantum Cryptography Competition (PQC), which has been running since 2017. One of the participants in the first round of the competition is the Mersenne-756839 key encapsulation mechanism based on the AJPS-2 encryption scheme. The arithmetic modulo Mersenne number is used to construct the cryptoprimitives of the AJPS family. In this paper, we propose a forgery attack on the AJPS-2 cryptosystem using an active eavesdropper, and two modifications of the post-quantum AJPS-2 cryptosystem, namely, the modification of AJPS-2 using the arithmetic modulo generalized Mersenne number and Crandall number. Moreover, new algebraic problems are defined, on the complexity of which the security of the created modifications is based. The advantages of these modifications are the extension of the number class used as a module in the cryptosystem and the security against the forgery attack with the active eavesdropper, which was successful in the original AJPS-2.uk
dc.format.pagerangePp. 25-31uk
dc.identifier.citationYadukha, D. The Forgery Attack on the Post-Quantum AJPS-2 Cryptosystem and Modification of the AJPS-2 Cryptosystem by Changing the Class of Numbers Used as a Module / Dariya Yadukha // Theoretical and Applied Cybersecurity : scientific journal. – 2023. – Vol. 5, Iss. 1. – Pp. 25–31. – Bibliogr. 13 ref.uk
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132023.1.286166
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/62349
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.subjectthe AJPS cryptosystemuk
dc.subjectMersenne numbersuk
dc.subjectgeneralized Mersenne numbersuk
dc.subjectCrandall numbersuk
dc.subjectHamming weightuk
dc.subjectforgery attackuk
dc.subjectpost-quantum (quantum-resistant) cryptographic primitivesuk
dc.subject.udc003.26.09uk
dc.titleThe Forgery Attack on the Post-Quantum AJPS-2 Cryptosystem and Modification of the AJPS-2 Cryptosystem by Changing the Class of Numbers Used as a Moduleuk
dc.typeArticleuk

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