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Paper: A General Proof Framework for Recent AES Distinguishers

Authors:
Christina Boura , Inria; University of Versailles
Anne Canteaut , Inria
Daniel Coggia , Direction Générale de l’Armement; Inria
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DOI: 10.13154/tosc.v2019.i1.170-191
URL: https://tosc.iacr.org/index.php/ToSC/article/view/7401
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Presentation: Slides
Abstract: In this paper, a new framework is developed for proving and adapting the recently proposed multiple-of-8 property and mixture-differential distinguishers. The above properties are formulated as immediate consequences of an equivalence relation on the input pairs, under which the difference at the output of the round function is invariant. This approach provides a further understanding of these newly developed distinguishers. For example, it clearly shows that the branch number of the linear layer does not influence the validity of the property, on the contrary of what was previously believed. We further provide an extension of the mixture-differential distinguishers and multiple-of-8 property to any SPN and to a larger class of subspaces. These adapted properties can then be exhibited in a systematic way for other ciphers than the AES. We illustrate this with the examples of Midori, Klein, LED and Skinny.
Video from TOSC 2019
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BibTeX
@article{tosc-2019-29268,
  title={A General Proof Framework for Recent AES Distinguishers},
  journal={IACR Transactions on Symmetric Cryptology},
  publisher={Ruhr-Universität Bochum},
  volume={2019, Issue 1},
  pages={170-191},
  url={https://tosc.iacr.org/index.php/ToSC/article/view/7401},
  doi={10.13154/tosc.v2019.i1.170-191},
  author={Christina Boura and Anne Canteaut and Daniel Coggia},
  year=2019
}