Paper 2025/1798

Threshold Blind Signatures from CDH

Michael Reichle, ETH Zurich
Zoé Reinke, ETH Zurich
Abstract

Blind signatures are a versatile cryptographic primitive with many applications, especially in privacy-preserving technologies. Threshold blind signature schemes (TBS) enhance blind signatures with a signing procedure distributed among up to n signers to reduce the risk attached to the compromise of the secret key. So far, TBS constructions over groups rely on strong assumptions, e.g., the algebraic group model (AGM) or interactive assumptions. In this work, we propose two TBS based on the computational Diffie-Hellman assumption (CDH) in the ROM: – The first TBS over pairing-free groups without the AGM. – The first round-optimal TBS over pairing-based groups that does not rely on interactive assumptions. The starting point for both constructions is the pairing-based signature scheme derived from Boneh-Boyen IBE (Eurocrypt’04), and their recent blind signature variants by Katsumata et al. (Asiacrypt’23) and Klooß et al. (Asiacrypt’24) based on the decisional Diffie-Hellman assumption (DDH). We first remove the reliance on DDH in their schemes, then provide careful adaptations to the threshold setting.

Note: Added threshold blind signature from pairings (Sections 7 and 8)

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
A major revision of an IACR publication in PKC 2026
Keywords
blind signaturethreshold blind signatureCDHpairing-free groups
Contact author(s)
mreichle @ inf ethz ch
zreinke @ inf ethz ch
History
2026-03-30: revised
2025-10-01: received
See all versions
Short URL
https://ia.cr/2025/1798
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/1798,
      author = {Michael Reichle and Zoé Reinke},
      title = {Threshold Blind Signatures from {CDH}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1798},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1798}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.