Paper 2025/628

Improving the Masked Division for the FALCON Signature

Pierre-Augustin Berthet, Laboratoire Traitement et Communication de l’Information, Hensoldt France SAS
Justine Paillet, Laboratoire Hubert Curien, Hensoldt France SAS
Cédric Tavernier, Hensoldt France SAS
Lilian Bossuet, Laboratoire Hubert Curien
Brice Colombier, Laboratoire Hubert Curien
Abstract

FALCON is a post-quantum signature selected by the National Institute of Standards and Technology (NIST). Although its side-channel resilience has been studied and a masking countermeasure proposed, the division is a major performance bottleneck. This work proposes a different approach to the masked FALCON division. We use the Newton method and a convergent sequence to approximate this operation. The performance of the masked division is improved by a factor 6.7 for two shares and 6.98 for three shares. For the Gaussian sampler, the improvements are of a factor 1.45 for two shares and 1.43 for three shares. Formal security proofs using the MIMO-SNI criteria are also provided.

Metadata
Available format(s)
PDF
Category
Implementation
Publication info
Preprint.
Keywords
Post-Quantum CryptographyFALCONSide-Channel AnalysisMaskingMIMO-SNI
Contact author(s)
berthet @ telecom-paris fr
justine paillet @ univ-st-etienne fr
cedric tavernier @ hensoldt net
lilian bossuet @ univ-st-etienne fr
b colombier @ univ-st-etienne fr
History
2025-04-11: approved
2025-04-07: received
See all versions
Short URL
https://ia.cr/2025/628
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/628,
      author = {Pierre-Augustin Berthet and Justine Paillet and Cédric Tavernier and Lilian Bossuet and Brice Colombier},
      title = {Improving the Masked Division for the {FALCON} Signature},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/628},
      year = {2025},
      url = {https://eprint.iacr.org/2025/628}
}
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