Paper 2025/1007

Scalable Multiparty Computation from Non-linear Secret Sharing

Sanjam Garg, University of California, Berkeley
Abhishek Jain, NTT Research and Johns Hopkins University
Pratyay Mukherjee, Supra Research
Mingyuan Wang, University of California, Berkeley
Abstract

A long line of work has investigated the design of scalable secure multiparty computation (MPC) protocols with computational and communication complexity independent of the number of parties (beyond any dependence on the circuit size). We present the first unconditionally-secure MPC protocols for arithmetic circuits over {\em large fields} with total computation $\mathcal{O}(|C|\log|F|)$, where $|C|$ and $|F|$ denote the circuit and field size, respectively. Prior work could either achieve similar complexity only in {\em communication}, or required highly structured circuits, or expensive circuit transformations. To obtain our results, we depart from the prior approach of share packing in linear secret-sharing schemes; instead, we use an ``unpacking'' approach via {\em non-linear} secret sharing.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
A minor revision of an IACR publication in CRYPTO 2024
DOI
10.1007/978-3-031-68397-8_12
Keywords
Secure multiparty computationChinese remainder-based secret sharingScalable MPC
Contact author(s)
sanjamg @ berkeley edu
abhishek @ cs jhu edu
pratyay85 @ gmail com
mingyuan @ berkeley edu
History
2025-06-02: approved
2025-05-31: received
See all versions
Short URL
https://ia.cr/2025/1007
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/1007,
      author = {Sanjam Garg and Abhishek Jain and Pratyay Mukherjee and Mingyuan Wang},
      title = {Scalable Multiparty Computation from Non-linear Secret Sharing},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1007},
      year = {2025},
      doi = {10.1007/978-3-031-68397-8_12},
      url = {https://eprint.iacr.org/2025/1007}
}
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