Lower bounds for oblivious transfer reductions

  • Authors:
  • Yevgeniy Dodis;Silvio Micali

  • Affiliations:
  • Laboratory for Computer Science, Massachusetts Institute of Technology;Laboratory for Computer Science, Massachusetts Institute of Technology

  • Venue:
  • EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
  • Year:
  • 1999

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Abstract

We prove the first general and non-trivial lower bound for the number of times a 1-out-of-n Oblivious Transfer of strings of length l should be invoked so as to obtain, by an information-theoretically secure reduction, a 1-out-of-N Oblivious Transfer of strings of length L. Our bound is tight in many significant cases. We also prove the first non-trivial lower bound for the number of random bits needed to implement such a reduction whenever the receiver sends no messages to the sender. This bound is also tight in many significant cases.