Paper 2021/841

MPC for $Q_2$ Access Structures over Rings and Fields

Robin Jadoul, Nigel P. Smart, and Barry Van Leeuwen


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.

Available format(s)
Cryptographic protocols
Publication info
Preprint. Minor revision.
Contact author(s)
robin jadoul @ esat kuleuven be
nigel smart @ kuleuven be
barry vanleeuwen @ kuleuven be
2021-08-30: last of 2 revisions
2021-06-21: received
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Creative Commons Attribution


      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},
      note = {\url{}},
      url = {}
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