August 3, 2021

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Autocorrelations of vectorial Boolean functions, by Anne Canteaut and Lukas Kölsch and Chao Li and Chunlei Li and Kangquan Li and Longjiang Qu and Friedrich Wiemer

Recently, Bar-On et al. introduced at Eurocrypt’19 a new tool, called the differential-linear connectivity table (DLCT), which allows for taking into account the dependency between the two subciphers E_0 and E_1 involved in differential-linear attacks.

This paper presents a theoretical characterization of the DLCT, which corresponds to an autocorrelation table (ACT) of a vectorial Boolean function. We further provide some new theoretical results on ACTs of vectorial Boolean functions.