Paper 2024/148 Original: eprint.iacr.org/2024/148 ↗

Preliminary Cryptanalysis of the Biscuit Signature Scheme

Charles Bouillaguet
Julia Sauvage
Abstract

Biscuit is a recent multivariate signature scheme based on the MPC-in-the-Head paradigm. It has been submitted to the NIST competition for additional signature schemes. Signatures are derived from a zero-knowledge proof of knowledge of the solution of a structured polynomial system. This extra structure enables efficient proofs and compact signatures. This short note demonstrates that it also makes these polynomial systems easier to solve than random ones. As a consequence, the original parameters of Biscuit failed to meet the required security levels and had to be upgraded.

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
History
2024-02-01: last updated
2024-02-01: published
Short URL
https://ia.cr/2024/148
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2024/148,
      author = {Charles Bouillaguet and Julia Sauvage},
      title = {Preliminary Cryptanalysis of the Biscuit Signature Scheme},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/148},
      year = {2024},
      url = {https://eprint.iacr.org/2024/148}
}
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