Some Properties of RX-Differential Probabilities for an Operation that Approximates Modular Addition

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dc.contributor.authorKorzh, Nikita
dc.date.accessioned2026-02-25T13:42:17Z
dc.date.available2026-02-25T13:42:17Z
dc.date.issued2025
dc.description.abstractIn this paper, we consider RX-analysis for the NORX mixing operation, a logic-only surrogate for mod-ular addition used in ARX/LRX designs. Given established closed-form RX-probability expressions andfeasibility conditions, we characterize the distribution ofRX-probabilitiesover randomRX-differentials,provide a constructive algorithm that, for fixed input differences and rotation value, enumerates theadmissible output differences and simultaneously yields their cardinality, together with a maximizationmethod for identical-input cases.
dc.format.pagerangeP. 31-37
dc.identifier.citationKorzh, N. Some Properties of RX-Differential Probabilities for an Operation that Approximates Modular Addition / Nikita Korzh // Theoretical and Applied Cybersecurity: scientific journal. – 2025. – Vol. 7, No. 2. – P. 31-37. – Bibliogr.: 12 ref.
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132025.2.342753
dc.identifier.orcid0009-0009-8794-8788
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/79046
dc.language.isoen
dc.publisherIgor Sikorsky Kyiv Polytechnic Institute
dc.publisher.placeKyiv
dc.relation.ispartofTheoretical and Applied Cybersecurity: scientific journal, Vol. 7, No. 2
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed.uk
dc.subjectsymmetric cryptography
dc.subjectdifferential cryptanalysis
dc.subjectrotational cryptanalysis
dc.subjectRX-analysis
dc.subjectARX
dc.subjectNORX
dc.subject.udc004.056.53:512.6
dc.titleSome Properties of RX-Differential Probabilities for an Operation that Approximates Modular Addition
dc.typeArticle

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Theoretical and Applied Cybersecurity: scientific journal, Vol. 7, No. 2