Non-interactive zero-knowledge from homomorphic encryption

  • Authors:
  • Ivan Damgård;Nelly Fazio;Antonio Nicolosi

  • Affiliations:
  • Aarhus University, Denmark;Courant Institute of Mathematical Sciences, New York University, NY;Courant Institute of Mathematical Sciences, New York University, NY

  • Venue:
  • TCC'06 Proceedings of the Third conference on Theory of Cryptography
  • Year:
  • 2006

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Abstract

We propose a method for compiling a class of Σ-protocols (3-move public-coin protocols) into non-interactive zero-knowledge arguments. The method is based on homomorphic encryption and does not use random oracles. It only requires that a private/public key pair is set up for the verifier. The method applies to all known discrete-log based Σ-protocols. As applications, we obtain non-interactive threshold RSA without random oracles, and non-interactive zero-knowledge for NP more efficiently than by previous methods.