Improved Garbled Circuit: Free XOR Gates and Applications

  • Authors:
  • Vladimir Kolesnikov;Thomas Schneider

  • Affiliations:
  • Bell Laboratories, USA NJ 07974;Horst Görtz Institute for IT-Security, Ruhr-University Bochum, Germany

  • 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 a new garbled circuit construction for two-party secure function evaluation (SFE). In our one-round protocol, XOR gates are evaluated "for free", which results in the corresponding improvement over the best garbled circuit implementations (e.g. Fairplay [19]).We build permutation networks [26] and Universal Circuits (UC) [25] almost exclusively of XOR gates; this results in a factor of up to 4 improvement (in both computation and communication) of their SFE. We also improve integer addition and equality testing by factor of up to 2.We rely on the Random Oracle (RO) assumption. Our constructions are proven secure in the semi-honest model.