Robust multiparty computation with linear communication complexity

  • Authors:
  • Martin Hirt;Jesper Buus Nielsen

  • Affiliations:
  • ETH Zurich, Switzerland;University of Aarhus, Denmark

  • Venue:
  • CRYPTO'06 Proceedings of the 26th annual international conference on Advances in Cryptology
  • Year:
  • 2006

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Abstract

We present a robust multiparty computation protocol. The protocol is for the cryptographic model with open channels and a poly-time adversary, and allows n parties to actively securely evaluate any poly-sized circuit with resilience t n/2. The total communication complexity in bits over the point-to-point channels is ${\mathcal{O}}(S n \kappa + n {\mathcal{BC}})$, where S is the size of the circuit being securely evaluated, κ is the security parameter and ${\mathcal{BC}}$ is the communication complexity of one broadcast of a κ-bit value. This means the average number of bits sent and received by a single party is ${\mathcal{O}}(S \kappa + {\mathcal{BC}})$, which is almost independent of the number of participating parties. This is the first robust multiparty computation protocol with this property.