MPC for $Q_2$ Access Structures over Rings and Fields

Robin Jadoul; Nigel P.  Smart; Barry Van Leeuwen

Paper 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: Published elsewhere. SAC 2021
Contact author(s): robin jadoul @ esat kuleuven be
nigel smart @ kuleuven be
barry vanleeuwen @ kuleuven be
History: 2022-10-21: last of 3 revisions; 2021-06-21: received; See all versions
Short URL: https://ia.cr/2021/841
License: CC BY

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}
}