Paper 2021/500

Order-C Secure Multiparty Computation for Highly Repetitive Circuits

Gabrielle Beck, Aarushi Goel, Abhishek Jain, and Gabriel Kaptchuk


Running secure multiparty computation (MPC) protocols with hundreds or thousands of players would allow leveraging large volunteer networks (such as blockchains and Tor) and help justify honest majority assumptions. However, most existing protocols have at least a linear (multiplicative)dependence on the number of players, making scaling difficult. Known protocols with asymptotic efficiency independent of the number of parties (excluding additive factors) require expensive circuit transformations that induce large overheads. We observe that the circuits used in many important applications of MPC such as training algorithms used to create machine learning models have a highly repetitive structure. We formalize this class of circuits and propose an MPC protocol that achieves O(|C|) total complexity for this class. We implement our protocol and show that it is practical and outperforms O(n|C|) protocols for modest numbers of players.

Available format(s)
Cryptographic protocols
Publication info
A major revision of an IACR publication in EUROCRYPT 2021
Secure multiparty computation
Contact author(s)
gbeck @ cs jhu edu
aarushig @ cs jhu edu
abhishek @ cs jhu edu
kaptchuk @ bu edu
2021-11-03: revised
2021-04-19: received
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Short URL
Creative Commons Attribution


      author = {Gabrielle Beck and Aarushi Goel and Abhishek Jain and Gabriel Kaptchuk},
      title = {Order-C Secure Multiparty Computation for Highly Repetitive Circuits},
      howpublished = {Cryptology ePrint Archive, Paper 2021/500},
      year = {2021},
      note = {\url{}},
      url = {}
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