From passive to covert security at low cost

  • Authors:
  • Ivan Damgård;Martin Geisler;Jesper Buus Nielsen

  • Affiliations:
  • Dept. of Computer Science, University of Aarhus, Denmark;Dept. of Computer Science, University of Aarhus, Denmark;Dept. of Computer Science, University of Aarhus, Denmark

  • Venue:
  • TCC'10 Proceedings of the 7th international conference on Theory of Cryptography
  • Year:
  • 2010

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Abstract

Aumann and Lindell defined security against covert attacks, where the adversary is malicious, but is only caught cheating with a certain probability. The idea is that in many real-world cases, a large probability of being caught is sufficient to prevent the adversary from trying to cheat. In this paper, we show how to compile a passively secure protocol for honest majority into one that is secure against covert attacks, again for honest majority and catches cheating with probability 1/4. The cost of the modified protocol is essentially twice that of the original plus an overhead that only depends on the number of inputs.