Paper 2025/1696

Threshold ECDSA in Two Rounds

Yingjie Lyu, Shandong University
Zengpeng Li, Shandong University
Hong-Sheng Zhou, Virginia Commonwealth University
Xudong Deng, Shandong University
Abstract

We propose the first two-round multi-party signing protocol for the Elliptic Curve Digital Signature Algorithm (ECDSA) in the threshold-optimal setting, reducing the number of rounds by one compared to the state of the art (Doerner et al., S&P '24). We also resolve the security issue of presigning pointed out by Groth and Shoup (Eurocrypt '22), evading a security loss that increases with the number of pre-released, unused presignatures, for the first time among threshold-optimal schemes. Our construction builds on Non-Interactive Multiplication (NIM), a notion proposed by Boyle et al. (PKC '25), which allows parties to evaluate multiplications on secret-shared values in one round. In particular, we use the construction of Abram et al. (Eurocrypt '24) instantiated with class groups. The setup is minimal and transparent, consisting of only two class-group generators. The signing protocol is efficient in bandwidth, with a message size of 1.9 KiB at 128-bit security, and has competitive computational performance.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Published elsewhere. Minor revision. ACM CCS 2025
DOI
10.1145/3719027.3765176
Keywords
ECDSAThreshold SignaturesThreshold Cryptography
Contact author(s)
yingjielyu @ mail sdu edu cn
zengpengliz @ gmail com
hszhou @ vcu edu
xudongdeng @ mail sdu edu cn
History
2026-01-14: last of 3 revisions
2025-09-18: received
See all versions
Short URL
https://ia.cr/2025/1696
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/1696,
      author = {Yingjie Lyu and Zengpeng Li and Hong-Sheng Zhou and Xudong Deng},
      title = {Threshold {ECDSA} in Two Rounds},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1696},
      year = {2025},
      doi = {10.1145/3719027.3765176},
      url = {https://eprint.iacr.org/2025/1696}
}
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