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

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Ескіз

Дата

2025

Автори

Науковий керівник

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Видавець

Igor Sikorsky Kyiv Polytechnic Institute

Анотація

In 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.

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Ключові слова

symmetric cryptography, differential cryptanalysis, rotational cryptanalysis, RX-analysis, ARX, NORX

Бібліографічний опис

Korzh, 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.

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