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On additive differential probabilities of the composition of bitwise exclusive-or and a bit rotation
March 19, 2024, 4:11 a.m. | Nikolay Kolomeec, Ivan Sutormin, Denis Bykov, Matvey Panferov, Tatyana Bonich
cs.CR updates on arXiv.org arxiv.org
Abstract: Properties of the additive differential probability $\mathrm{adp}^{\mathrm{XR}}$ of the composition of bitwise XOR and a bit rotation are investigated, where the differences are expressed using addition modulo $2^n$. This composition is widely used in ARX constructions consisting of additions modulo $2^n$, bit rotations and bitwise XORs. Differential cryptanalysis of such primitives may involve maximums of $\mathrm{adp}^{\mathrm{XR}}$, where some of its input or output differences are fixed. Although there is an efficient way to calculate this …
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