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Paper: Composable Masking Schemes in the Presence of Physical Defaults & the Robust Probing Model

Authors:
Sebastian Faust , Technische Universität Darmstadt, Darmstadt
Vincent Grosso , Radboud University Nijmegen, Digital Security Group
Santos Merino Del Pozo , Université catholique de Louvain, ICTEAM/ELEN/Crypto Group, Belgium; DarkMatter LLC, Abu Dhabi
Clara Paglialonga , Technische Universität Darmstadt, Darmstadt
François-Xavier Standaert , Université catholique de Louvain, ICTEAM/ELEN/Crypto Group
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DOI: 10.13154/tches.v2018.i3.89-120
URL: https://tches.iacr.org/index.php/TCHES/article/view/7270
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Abstract: Composability and robustness against physical defaults (e.g., glitches) are two highly desirable properties for secure implementations of masking schemes. While tools exist to guarantee them separately, no current formalism enables their joint investigation. In this paper, we solve this issue by introducing a new model, the robust probing model, that is naturally suited to capture the combination of these properties. We first motivate this formalism by analyzing the excellent robustness and low randomness requirements of first-order threshold implementations, and highlighting the difficulty to extend them to higher orders. Next, and most importantly, we use our theory to design and prove the first higher-order secure, robust and composable multiplication gadgets. While admittedly inspired by existing approaches to masking (e.g., Ishai-Sahai-Wagner-like, threshold, domain-oriented), these gadgets exhibit subtle implementation differences with these state-of-the-art solutions (none of which being provably composable and robust). Hence, our results illustrate how sound theoretical models can guide practically-relevant implementations.
BibTeX
@article{tches-2018-29037,
  title={Composable Masking Schemes in the Presence of Physical Defaults & the Robust Probing Model},
  journal={IACR Trans. Cryptogr. Hardw. Embed. Syst.},
  publisher={Ruhr-Universität Bochum},
  volume={2018, Issue 3},
  pages={89-120},
  url={https://tches.iacr.org/index.php/TCHES/article/view/7270},
  doi={10.13154/tches.v2018.i3.89-120},
  author={Sebastian Faust and Vincent Grosso and Santos Merino Del Pozo and Clara Paglialonga and François-Xavier Standaert},
  year=2018
}