Differential-Rotational Probabilities of Modular Addition and Its Approximations
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Дата
2024
Автори
Науковий керівник
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Видавець
Igor Sikorsky Kyiv Polytechnic Institute
Анотація
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.
Опис
Ключові слова
symmetric cryptography, differential cryptanalysis, rotational cryptanalysis, RX-analysis, ARX, NORX
Бібліографічний опис
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.