Paper 2025/1766

Eliminating Exponential Key Growth in PRG-Based Distributed Point Functions

Marc Damie, University of Twente, French Institute for Research in Computer Science and Automation
Florian Hahn, University of Twente
Andreas Peter, Carl von Ossietzky University of Oldenburg
Jan Ramon, French Institute for Research in Computer Science and Automation
Abstract

Distributed Point Functions (DPFs) enable sharing secret point functions across multiple parties, supporting privacy-preserving technologies such as Private Information Retrieval, and anonymous communications. While 2-party PRG-based schemes with logarithmic key sizes have been known for a decade, extending these solutions to multi-party settings has proven challenging. In particular, PRG-based multi-party DPFs have historically struggled with practicality due to key sizes growing exponentially with the number of parties and the field size. Our work addresses this efficiency bottleneck by optimizing the PRG-based multi-party DPF scheme of Boyle et al. (EUROCRYPT'15). By leveraging the honest-majority assumption, we eliminate the exponential factor present in this scheme. Our construction is the first PRG-based multi-party DPF scheme with practical key sizes, and provides key up to $3\times$ smaller than the best known multi-party DPF. This work demonstrates that with careful optimization, PRG-based multi-party DPFs can achieve practical performances, and even obtain top performances.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Published elsewhere. DPM 2025
Keywords
Function Secret SharingDistributed Point FunctionDPFFSSMultiparty Computations
Contact author(s)
m f d damie @ utwente nl
History
2025-09-30: approved
2025-09-27: received
See all versions
Short URL
https://ia.cr/2025/1766
License
Creative Commons Attribution-NonCommercial-ShareAlike
CC BY-NC-SA

BibTeX

@misc{cryptoeprint:2025/1766,
      author = {Marc Damie and Florian Hahn and Andreas Peter and Jan Ramon},
      title = {Eliminating Exponential Key Growth in {PRG}-Based Distributed Point Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1766},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1766}
}
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