Ultrametric integral cryptanalysis

ePrint Report: Ultrametric integral cryptanalysis

Tim Beyne, Michiel Verbauwhede

A systematic method to analyze \emph{divisibility properties} is proposed.
In integral cryptanalysis, divisibility properties interpolate between bits that sum to zero (divisibility by two) and saturated bits (divisibility by $2^{n - 1}$ for $2^n$ inputs).
From a theoretical point of view, we construct a new cryptanalytic technique that is a non-Archimedean multiplicative analogue of linear cryptanalysis. It lifts integral cryptanalysis to characteristic zero in the sense that, if all quantities are …

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