Attacking UOV-based Signatures over divided power algebras

Peigen Li; Siyong Tao

Paper 2026/2272

Attacking UOV-based Signatures over divided power algebras

Peigen Li, Beijing Institute of Mathematical Sciences and Applications

Siyong Tao, Department of Mathematical Sciences, Tsinghua University

Abstract

Merz and Ran derive additional equations from divided powers of the public polar forms in characteristic two. We extend this construction to finite fields of arbitrary characteristic and apply it to the security analysis of QR-UOV.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
Keywords: UOV;divided power algebra
Contact author(s): lpg22 @ bimsa cn
taosy22 @ mails tsinghua edu cn
History: 2026-09-30: approved; 2026-09-30: received; See all versions
Short URL: https://ia.cr/2026/2272
License: CC BY

BibTeX

@misc{cryptoeprint:2026/2272,
      author = {Peigen Li and Siyong Tao},
      title = {Attacking {UOV}-based Signatures over divided power algebras},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/2272},
      year = {2026},
      url = {https://eprint.iacr.org/2026/2272}
}