Paper 2021/841 Original: eprint.iacr.org/2021/841 ↗

MPC for $Q_2$ Access Structures over Rings and Fields

Robin Jadoul
Nigel P. Smart
Barry Van Leeuwen
Abstract

We examine Multi-Party Computation protocols in the active-security-with-abort setting for $Q_2$ access structures over small and large finite fields $F_p$ and over rings $Z_{p^k}$. We give general protocols which work for any $Q_2$ access structure which is realised by a multiplicative Extended Span Program. We generalize a number of techniques and protocols from various papers and compare the different methodologies. In particular we examine the expected communication cost per multiplication gate when the protocols are instantiated with different access structures.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2025-09-15: last updated
2021-06-21: published
Short URL
https://ia.cr/2021/841
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2021/841,
      author = {Robin Jadoul and Nigel P.  Smart and Barry Van Leeuwen},
      title = {MPC for $Q_2$ Access Structures over Rings and Fields},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/841},
      year = {2021},
      url = {https://eprint.iacr.org/2021/841}
}
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