Paper 2025/1433

A Fully-Adaptive Threshold Partially-Oblivious PRF

Ruben Baecker, Friedrich-Alexander-Universität Erlangen-Nürnberg
Paul Gerhart, TU Wien
Daniel Rausch, University of Stuttgart
Dominique Schröder, TU Wien
Abstract

Oblivious Pseudorandom Functions (OPRFs) are fundamental cryptographic primitives essential for privacy-enhancing technologies such as private set intersection, oblivious keyword search, and password-based authentication protocols. We present the first fully adaptive, partially oblivious threshold pseudorandom function that supports proactive key refresh and provides composable security under the One-More Gap Diffie-Hellman assumption in the random oracle model. Our construction is secure with respect to a new ideal functionality for OPRFs that addresses three critical shortcomings of previous models–specifically, key refresh and non-verifiability issues that rendered them unrealizable. In addition, we identify a gap in a prior work's proof of partial obliviousness and develop a novel proof technique to salvage their scheme.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
A minor revision of an IACR publication in CRYPTO 2025
Keywords
Partially-Oblivious PRFThreshold CryptographyAdaptive SecurityUniversal Composability
Contact author(s)
ruben baecker @ fau de
paul gerhart @ tuwien ac at
daniel rausch @ sec uni-stuttgart de
dominique schroeder @ tuwien ac at
History
2025-08-07: approved
2025-08-06: received
See all versions
Short URL
https://ia.cr/2025/1433
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/1433,
      author = {Ruben Baecker and Paul Gerhart and Daniel Rausch and Dominique Schröder},
      title = {A Fully-Adaptive Threshold Partially-Oblivious {PRF}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1433},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1433}
}
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