Paper 2026/1978

Succinct Two-Round Two-Party Signing from PCFs

Lennart Braun, Université Paris Cité, CNRS, IRIF, Paris, France
Geoffroy Couteau, Université Paris Cité, CNRS, IRIF, Paris, France
Kelsey Melissaris, Université Paris Cité, CNRS, IRIF, Paris, France
Mahshid Riahinia, DIENS, École normale supérieure, CNRS, Paris, France
Elahe Sadeghi, The University of Texas at Austin
Abstract

We introduce new two-party threshold signature schemes with strong efficiency and security. The application of our methodology to the two most popular signatures, Schnorr and ECDSA, yields two-round, two-party, stateless and deterministic signing with 4-12 ms of computation on one core of a standard laptop, extremely low communication -- 96 B for Schnorr, and 128 B for ECDSA -- and full concurrent simulatable security. At the heart of our approach is a new pseudorandom correlation function (PCF) for vector-OLE that admits an efficient key generation protocol; we design an end-to-end maliciously-secure and highly parallelizable DKG for this PCF and, using this DKG, we obtain an estimated runtime of 44 s for the (one-time) distributed setup of Schnorr and ECDSA on one core of a standard laptop.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
A major revision of an IACR publication in CRYPTO 2026
DOI
10.1007/978-3-032-35374-0_4
Keywords
pseudorandom correlation functiondsitributed key generationtwo-party signingecdsaschnorr
Contact author(s)
lbraun @ irif fr
couteau @ irif fr
Kelsey Melissaris @ irif fr
mahshid riahinia @ ens fr
elahesadeghi @ utexas edu
History
2026-09-13: approved
2026-09-11: received
See all versions
Short URL
https://ia.cr/2026/1978
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/1978,
      author = {Lennart Braun and Geoffroy Couteau and Kelsey Melissaris and Mahshid Riahinia and Elahe Sadeghi},
      title = {Succinct Two-Round Two-Party Signing from {PCFs}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/1978},
      year = {2026},
      doi = {10.1007/978-3-032-35374-0_4},
      url = {https://eprint.iacr.org/2026/1978}
}
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