Asynchronous Multi-Party Computation with Quadratic Communication

  • Authors:
  • Martin Hirt;Jesper Buus Nielsen;Bartosz Przydatek

  • Affiliations:
  • Dept. of Computer Science, ETH Zurich, Switzerland;Dept. of Computer Science, University of Aarhus, Denmark;Google Switzerland, Zurich, Switzerland

  • Venue:
  • ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
  • Year:
  • 2008

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Abstract

We present an efficient protocol for secure multi-party computation in the asynchronous model with optimal resilience. For nparties, up to tn/3 of them being corrupted, and security parameter 茂戮驴, a circuit with cgates can be securely computed with communication complexity $\O(c n^2 \kappa)$ bits, which improves on the previously known solutions by a factor of 茂戮驴(n). The construction of the protocol follows the approach introduced by Franklin and Haber (Crypto'93), based on a public-key encryption scheme with threshold decryption. To achieve the quadratic complexity, we employ several techniques, including circuit randomization due to Beaver (Crypto'91), and an abstraction of certificates, which can be of independent interest.