Simulation in quasi-polynomial time, and its application to protocol composition

  • Authors:
  • Rafael Pass

  • Affiliations:
  • Department of Numerical Analysis and Computer Science, Royal Institute of Technology, Stockholm, Sweden

  • Venue:
  • EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
  • Year:
  • 2003

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Abstract

We propose a relaxation of zero-knowledge, by allowing the simulator to run in quasi-polynomial time. We show that protocols satisfying this notion can be constructed in settings where the standard definition is too restrictive. Specifically, we construct constant-round straight-line concurrent quasi-polynomial time simulatable arguments and show that such arguments can be used in advanced composition operations without any set-up assumptions. Our protocols rely on slightly strong, but standard type assumptions (namely the existence of one-to-one one-way functions secure against subexponential circuits).