Paper 2026/1928

Two-Round Threshold Signatures with Adaptive TS-UF-1 Security from MDDH

Wenzhong Li, Shanghai Jiao Tong University, Shanghai 200240, China, State Key Laboratory of Cryptology, P.O. Box 5159, Beijing 100878, China
Shengli Liu, Shanghai Jiao Tong University, Shanghai 200240, China, State Key Laboratory of Cryptology, P.O. Box 5159, Beijing 100878, China
You Lyu, Shanghai Jiao Tong University, Shanghai 200240, China, State Key Laboratory of Cryptology, P.O. Box 5159, Beijing 100878, China
Abstract

In this paper, we construct threshold signatures (TS) to achieve adaptive TS-UF-1 security and identifiable abort. Our TS construction has two rounds. We prove its adaptive TS-UF-1 security in the random oracle model (ROM) under the MDDH (covering DDH) assumption in pairing-free groups. To the best of our knowledge, there are only two TS schemes, namely GLRS26 (Gerhart et al., Eurocrypt 2026) and Dazzle (Chen, PKC 2025), enjoying two rounds, identifiable abort and adaptive security from DDH in pairing-free groups in the ROM. However, both schemes only achieve adaptive TS-UF-0 security. Therefore, our construction yields the first TS scheme enjoying adaptive TS-UF-1 security and identifiable abort, free of pairing.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
A major revision of an IACR publication in ASIACRYPT 2026
Keywords
Threshold SignatureAdaptive SecurityPairing-FreeIdentifiable Abort
Contact author(s)
wzli0920 @ sjtu edu cn
slliu @ sjtu edu cn
vergil @ sjtu edu cn
History
2026-09-12: approved
2026-09-08: received
See all versions
Short URL
https://ia.cr/2026/1928
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/1928,
      author = {Wenzhong Li and Shengli Liu and You Lyu},
      title = {Two-Round Threshold Signatures with Adaptive {TS}-{UF}-1 Security from {MDDH}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/1928},
      year = {2026},
      url = {https://eprint.iacr.org/2026/1928}
}
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