Paper 2026/404 Original: eprint.iacr.org/2026/404 ↗

Ultra short signatures with Dragon $HFE_{LL'}$

Jacques Patarin
Jan Vacek
Alexandre Roullet
Abstract

We study HFE-based multivariate signatures with an \(LL'\) perturbation. The resulting scheme \(HFE_{LL'}\) gives short signatures, and its Dragon variant \(D\text{-}HFE_{LL'}\) gives ultra-short signatures by separating the hash length from the number of signature variables. We discuss the relation with \(\mathrm{HFE}^{\widehat{+}}\), the applicability of known attacks, and propose explicit parameter sets.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2026-08-17: last updated
2026-02-27: published
Short URL
https://ia.cr/2026/404
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/404,
      author = {Jacques Patarin and Jan Vacek and Alexandre Roullet},
      title = {Ultra short signatures with Dragon $HFE_{LL'}$},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/404},
      year = {2026},
      url = {https://eprint.iacr.org/2026/404}
}
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