Paper 2021/1006

UOV-Pepper: New Public Key Short Signature in Degree 3

Gilles Macario-Rat and Jacques Patarin


In this paper, we present a new perturbation for the design of multivariate schemes that we call ``Pepper''. From this idea, we present some efficient multivariate signature schemes with explicit parameters that resist all known attacks. In particular they resist the two main (and often very powerful) attacks in this area: the Gröbner attacks (to compute a solution of the system derived from the public key) and the MinRank attacks (to recover the secret key). Pepper can also be seen as a new perturbation that can be used to strengthen many other multivariate schemes. The ``Pepper'' perturbation works only for public key equations of degree (at least) 3. Despite this, the size of the public key may still be reasonable since we can use larger fields (and also maybe non dense equations). Furthermore, the size of the signatures can be very short.

Available format(s)
Public-key cryptography
Publication info
Preprint. MINOR revision.
public-key cryptographypost-quantum multivariate cryptographyUOVHFE
Contact author(s)
gilles macariorat @ orange com
jpatarin @ club-internet fr
2021-08-03: received
Short URL
Creative Commons Attribution


      author = {Gilles Macario-Rat and Jacques Patarin},
      title = {UOV-Pepper:  New Public Key Short Signature   in Degree 3},
      howpublished = {Cryptology ePrint Archive, Paper 2021/1006},
      year = {2021},
      note = {\url{}},
      url = {}
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