[Resource Topic] 2024/008: SoK: Methods for Sampling Random Permutations in Post-Quantum Cryptography

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Title:
SoK: Methods for Sampling Random Permutations in Post-Quantum Cryptography

Authors: Alessandro Budroni, Isaac A. Canales-Martínez, Lucas Pandolfo Perin

Abstract:

In post-quantum cryptography, permutations are frequently employed to construct cryptographic primitives. Careful design and implementation of sampling random unbiased permutations is essential for efficiency and protection against side-channel attacks. Nevertheless, there is a lack of systematic research on this topic. Our work seeks to fill this gap by studying the most prominent permutation sampling algorithms and assessing their advantages and limitations. We combine theoretical and experimental comparisons and provide a C library with the implementations of the algorithms discussed. Furthermore, we introduce a new sampling algorithm tailored for cryptographic applications.

ePrint: https://eprint.iacr.org/2024/008

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