Differential-Rotational Probabilities of Modular Addition and Its Approximations

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dc.contributor.authorYakovliev, Serhii
dc.contributor.authorKorzh, Nikita
dc.date.accessioned2025-04-09T10:00:22Z
dc.date.available2025-04-09T10:00:22Z
dc.date.issued2024
dc.description.abstractIn this paper, we consider differential-rotational cryptanalysis, or RX-analysis, and its application tocertain classes of ARX-cryptosystems. We provide exact analytical expressions for the RX-differentialprobabilities with arbitrary rotation values for modular addition. These expressions are described interms of differential probabilities, which allows comparison of ordinary and RX-differential behaviour.Furthermore, we consider two operations that approximate modular addition, one of which comesfrom the NORX cipher. For these operations, we also provide exact analytical expressions for theRX-differential probabilities.
dc.format.pagerangeP. 5-15
dc.identifier.citation Yakovliev, S. Differential-Rotational Probabilities of Modular Addition and Its Approximations / Serhii Yakovliev, Nikita Korzh // Theoretical and Applied Cybersecurity: scientific journal. – 2024. – Vol. 6, No. 2. – P. 5-15. – Bibliogr.: 13 ref.
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132024.2.318611
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/73303
dc.language.isoen
dc.publisherIgor Sikorsky Kyiv Polytechnic Institute
dc.publisher.placeKyiv
dc.relation.ispartofTheoretical and Applied Cybersecurity: scientific journal, Vol. 6, No. 2
dc.subjectsymmetric cryptography
dc.subjectdifferential cryptanalysis
dc.subjectrotational cryptanalysis
dc.subjectRX-analysis
dc.subjectARX
dc.subjectNORX
dc.subject.udc004.056.53:512.6
dc.titleDifferential-Rotational Probabilities of Modular Addition and Its Approximations
dc.typeArticle

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Theoretical and Applied Cybersecurity: scientific journal, Vol. 6, No. 2