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Zero-Correlation Attacks on Tweakable Block Ciphers with Linear Tweakey Expansion

Authors:
Ralph Ankele , Royal Holloway University of London, UK; Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University
Christoph Dobraunig , Graz University of Technology, Austria; Digital Security Group, Radboud University, Nijmegen
Jian Guo , Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University
Eran Lambooij , University of Haifa
Gregor Leander , Ruhr-Universität Bochum
Yosuke Todo , NTT Secure Platform Laboratories
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DOI: 10.13154/tosc.v2019.i1.192-235
URL: https://tosc.iacr.org/index.php/ToSC/article/view/7402
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Presentation: Slides
Abstract: The design and analysis of dedicated tweakable block ciphers is a quite recent and very active research field that provides an ongoing stream of new insights. For instance, results of Kranz, Leander, and Wiemer from FSE 2017 show that the addition of a tweak using a linear tweak schedule does not introduce new linear characteristics. In this paper, we consider – to the best of our knowledge – for the first time the effect of the tweak on zero-correlation linear cryptanalysis for ciphers that have a linear tweak schedule. It turns out that the tweak can often be used to get zero-correlation linear hulls covering more rounds compared to just searching zero-correlation linear hulls on the data-path of a cipher. Moreover, this also implies the existence of integral distinguishers on the same number of rounds. We have applied our technique on round reduced versions of Qarma, Mantis, and Skinny. As a result, we can present – to the best of our knowledge – the best attack (with respect to number of rounds) on a round-reduced variant of Qarma.
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BibTeX
@article{tosc-2019-29269,
  title={Zero-Correlation Attacks on Tweakable Block Ciphers with Linear Tweakey Expansion},
  journal={IACR Transactions on Symmetric Cryptology},
  publisher={Ruhr-Universität Bochum},
  volume={2019, Issue 1},
  pages={192-235},
  url={https://tosc.iacr.org/index.php/ToSC/article/view/7402},
  doi={10.13154/tosc.v2019.i1.192-235},
  author={Ralph Ankele and Christoph Dobraunig and Jian Guo and Eran Lambooij and Gregor Leander and Yosuke Todo},
  year=2019
}