Yakovliev, SerhiiKorzh, Nikita2025-04-092025-04-092024Yakovliev, 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.https://ela.kpi.ua/handle/123456789/73303In 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.ensymmetric cryptographydifferential cryptanalysisrotational cryptanalysisRX-analysisARXNORXArticleP. 5-15https://doi.org/10.20535/tacs.2664-29132024.2.318611004.056.53:512.6