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Differential-Rotational Probabilities of Modular Addition and Its Approximations
(Igor Sikorsky Kyiv Polytechnic Institute, 2024) Yakovliev, Serhii; Korzh, Nikita
In 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.