research:dmsc2024 [davidjohnpaul.com]

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====== Keyed S-boxes from sponge functions ======

[[https://doi.org/10.47974/JDMSC-1724|Download]]

Van der Merwe, A., Paul, D., Schmalz, J., Schaerf, T. "Keyed S-boxes from sponge functions", Journal of Discrete Mathematical Sciences and Cryptography, 27(8), 2241–2254, 2024.

===== Abstract =====

This paper examines the generation of key-dependent S-boxes using sponge functions. In this study, we render 8-bit key-dependent S-boxes employing a novel approach that contrasts previous techniques using a mixing strategy. We test the efficiency and security of the resultant S-boxes by performing a sequence of experiments. We consider the integration of the keyed S-boxes into a symmetric cipher and determine the probability of differential cryptanalysis. We found that the maximum differential distribution is approximately 12/256 or ≈ 2<sup>–6</sup>, with a mean of roughly 11/256 and a standard deviation of 1.2/256. Our review of other methods concludes that they have the same maximum differential distribution, while our generation method is significantly faster. We conclude by characterising future research on keyed S-boxes in a white-box context.

===== Journal =====

[[https://tarupublications.com/journal/JDMSC|Journal of Discrete Mathematical Sciences and Cryptography]]