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Communication Dans Un Congrès Année : 2020

On Quantum Slide Attacks

Résumé

At Crypto 2016, Kaplan et al. proposed the first quantum exponential acceleration of a classical symmetric cryptanalysis technique: they showed that, in the superposition query model, Simon's algorithm could be applied to accelerate the slide attack on the alternate-key cipher. This allows to recover an n-bit key with O(n) quantum time and queries. In this paper we propose many other types of quantum slide attacks. First, we are able to quantize classical advanced slide attacks on Feistel networks. With modular additions inside branch or key-addition operations, these attacks reach up to two round self-similarity. With only XOR operations, they reach up to four rounds self-similarity, with a cost at most quadratic in the block size. Moreover, some of these variants combined with whitening keys (FX construction) can be successfully attacked. We show how these results relate to general quantization principles of classical techniques including sliding with a twist, complementation slide and mirror slidex. Furthermore, we show that some quantum slide attacks can be composed with other quantum attacks to perform efficient key-recoveries even when the round founction is a strong function classically. Finally, we analyze the case of quantum slide attacks exploiting cycle-finding, that were thought to enjoy an exponential speed up in a paper by BarOn et al. in 2015, where these attacks were introduced. We show that the speed-up is smaller than expected and less impressive than the above variants, but nevertheless provide improved complexities on the previous known quantum attacks in the superposition model for some self-similar SPN and Feistel constructions.
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Dates et versions

hal-04321743 , version 1 (04-12-2023)

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Xavier Bonnetain, María Naya-Plasencia, André Schrottenloher. On Quantum Slide Attacks. SAC 2019 - Selected Areas in Cryptography, Aug 2019, Waterloo, Canada. pp.492-519, ⟨10.1007/978-3-030-38471-5_20⟩. ⟨hal-04321743⟩
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