Paper 2024/1999

Multivariate Encryptions with LL’ perturbations - Is it possible to repair HFE in encryption? -

Jacques Patarin, Thales (France), Versailles Saint-Quentin-en-Yvelines University
Pierre Varjabedian, Thales (France), Versailles Saint-Quentin-en-Yvelines University
Abstract

We will present here new multivariate encryption algorithms. This is interesting since few multivariate encryption scheme currently exist, while their exist many more multivariate signature schemes. Our algorithms will combine several ideas, in particular the idea of the LL’ perturbation originally introduced, but only for signature, in [GP06]. In this paper, the LL’ perturbation will be used for encryption and will greatly differ from [GP06]. As we will see, our algorithms resists to all known attacks (in particular Gröbner attacks and MinRank attacks) and have reasonable computation time.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
Keywords
Post-Quantumpublic key encryptionPost-Quantum key exchangeMultivariate cryptographyHFE
Contact author(s)
jacques patarin @ thalesgroup com
pierre varjabedian @ thalesgroup com
History
2024-12-12: approved
2024-12-11: received
See all versions
Short URL
https://ia.cr/2024/1999
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/1999,
      author = {Jacques Patarin and Pierre Varjabedian},
      title = {Multivariate Encryptions with {LL}’ perturbations - Is it possible to repair {HFE} in encryption? -},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1999},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1999}
}
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