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Paper: Unconditional Communication-Efficient MPC via Hall's Marriage Theorem

Authors:
Vipul Goyal , CMU and NTT Research
Antigoni Polychroniadou , J.P. Morgan AI Research
Yifan Song , Carnegie Mellon University
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Conference: CRYPTO 2021
Abstract: The best known n party unconditional multiparty computation protocols with an optimal corruption threshold communicates O(n) field elements per gate. This has been the case even in the semi-honest setting despite over a decade of research on communication complexity in this setting. Going to the slightly sub-optimal corruption setting, the work of Damgard, Ishai, and Kroigaard (EUROCRYPT 2010) provided the first protocol for a single circuit achieving communication complexity of O(log |C|) elements per gate. While a number of works have improved upon this result, obtaining a protocol with O(1) field elements per gate has been an open problem. In this work, we construct the first unconditional multi-party computation protocol evaluating a single arithmetic circuit with amortized communication complexity of O(1) elements per gate.
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BibTeX
@inproceedings{crypto-2021-31117,
  title={Unconditional Communication-Efficient MPC via Hall's Marriage Theorem},
  publisher={Springer-Verlag},
  author={Vipul Goyal and Antigoni Polychroniadou and Yifan Song},
  year=2021
}