On the Impossibility of Basing Trapdoor Functions on Trapdoor Predicates

  • Authors:
  • Y. Gertner;T. Malkin;O. Reingold

  • Affiliations:
  • -;-;-

  • Venue:
  • FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
  • Year:
  • 2001

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Abstract

We prove that, somewhat surprisingly, there is no blackbox reduction of (poly-to-one) trapdoor functions to trapdoor predicates (equivalently, to public-key encryption schemes). Our proof follows the methodology that was introduced by Impagliazzo and Rudich [19], although we use a new, weaker model of separation.