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Paper: Increasing Precision of Division Property

Authors:
Patrick Derbez , Univ Rennes, Centre National de la Recherche Scientifique (CNRS), Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Rennes, France
Pierre-Alain Fouque , Univ Rennes, Centre National de la Recherche Scientifique (CNRS), Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Rennes, France
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DOI: 10.46586/tosc.v2020.i4.173-194
URL: https://tosc.iacr.org/index.php/ToSC/article/view/8753
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Abstract: In this paper we propose new techniques related to division property. We describe for the first time a practical algorithm for computing the propagation tables of 16-bit Super-Sboxes, increasing the precision of the division property by removing a lot of false division trails. We also improve the complexity of the procedure introduced by Lambin et al. (Design, Codes and Cryptography, 2020) to extend a cipher with linear mappings and show how to decrease the number of transitions to look for. While search procedures for integral distinguishers most often rely on MILP or SAT solvers for their ease of programming the propagation constraints, such generic solvers can only handle small 4/8-bit Sboxes. Thus we developed an ad-hoc tool handling larger Sboxes and all the improvements described in the paper. As a result, we found new integral distinguishers on SKINNY-64, HIGHT and Midori-64.
BibTeX
@article{tosc-2020-30782,
  title={Increasing Precision of Division Property},
  journal={IACR Transactions on Symmetric Cryptology},
  publisher={Ruhr-Universität Bochum},
  volume={2020, Issue 4},
  pages={173-194},
  url={https://tosc.iacr.org/index.php/ToSC/article/view/8753},
  doi={10.46586/tosc.v2020.i4.173-194},
  author={Patrick Derbez and Pierre-Alain Fouque},
  year=2020
}