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

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DOI:

https://doi.org/10.20535/tacs.2664-29132025.2.342753

Abstract

In this paper, we consider RX-analysis for the NORX mixing operation, a logic-only surrogate for modular addition used in ARX/LRX designs.
Given established closed-form RX-probability expressions and feasibility conditions, we characterize the distribution of RX-probabilities over random RX-differentials,
provide a constructive algorithm that, for fixed input differences and rotation value, enumerates the admissible output differences and simultaneously yields their cardinality,
together with a maximization method for identical-input cases.

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Published

2025-11-17

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Section

Theoretical and cryptographic problems of cybersecurity