International Association for Cryptologic Research

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Enabling PERK and other MPC-in-the-Head Signatures on Resource-Constrained Devices

Authors:
Slim Bettaieb
Loïc Bidoux
Alessandro Budroni
Marco Palumbi
Lucas Pandolfo Perin
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DOI: 10.46586/tches.v2024.i4.84-109
URL: https://tches.iacr.org/index.php/TCHES/article/view/11784
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Abstract: One category of the digital signatures submitted to the NIST Post-Quantum Cryptography Standardization Process for Additional Digital Signature Schemes comprises proposals constructed leveraging the MPC-in-the-Head (MPCitH) paradigm. Typically, this framework is characterized by the computation and storage in sequence of large data structures both in signing and verification algorithms, resulting in heavy memory consumption. While some research on the efficiency of these schemes on high-performance machines has been done, studying their performance and optimization on resource-constrained ones still needs to be explored. In this work, we aim to address this gap by (1) introducing a general method to reduce the memory footprint of MPCitH schemes and analyzing its application to several MPCitH proposed schemes in the NIST Standardization Process. Additionally, (2) we conduct a detailed examination of potential memory optimizations in PERK, resulting in a streamlined version of the signing and verification algorithms with a reduced memory footprint ranging from 22 to 85 KB, down from the original 0.3 to 6 MB. Finally, (3) we introduce the first implementation of PERK tailored for Arm Cortex M4 alongside extensive experiments and comparisons against reference implementations.
BibTeX
@article{tches-2024-34458,
  title={Enabling PERK and other MPC-in-the-Head Signatures on Resource-Constrained Devices},
  journal={IACR Transactions on Cryptographic Hardware and Embedded Systems},
  publisher={Ruhr-Universität Bochum},
  volume={2024},
  pages={84-109},
  url={https://tches.iacr.org/index.php/TCHES/article/view/11784},
  doi={10.46586/tches.v2024.i4.84-109},
  author={Slim Bettaieb and Loïc Bidoux and Alessandro Budroni and Marco Palumbi and Lucas Pandolfo Perin},
  year=2024
}