Paper 2026/2276 Original: eprint.iacr.org/2026/2276 ↗

Concurrently secure variants of blind (Okamoto-)Schnorr signatures

Georg Fuchsbauer
Fabian Regen
Levente Sulyok
Abstract

We present variants of blind Schnorr and blind Okamoto-Schnorr signatures that are not susceptible to ROS-style attacks. We prove the schemes unforgeable in the algebraic group model and the random oracle model: the Okamoto-Schnorr variant under the discrete-logarithm assumption; the Schnorr variant under the algebraic one-more discrete-logarithm assumption. Our Schnorr variant improves on the communication complexity of Snowblind (CRYPTO 2023), the state-of-the-art "pairing-free" blind signature scheme, while matching its signature size. Moreover, we show that this communication complexity is optimal: any blind "Schnorr-like" scheme whose first message is a single group element is susceptible to a variant of the ROS attack by Benhamouda et al. (EUROCRYPT 2021).

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2026-09-30: last updated
2026-09-30: published
Short URL
https://ia.cr/2026/2276
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/2276,
      author = {Georg Fuchsbauer and Fabian Regen and Levente Sulyok},
      title = {Concurrently secure variants of blind (Okamoto-)Schnorr signatures},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/2276},
      year = {2026},
      url = {https://eprint.iacr.org/2026/2276}
}
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