A tight lower bound for restricted PIR protocols

  • Authors:
  • Richard Beigel;Lance Fortnow;William Gasarch

  • Affiliations:
  • Department of Computer and Information Sciences, Temple University, Philadelphia, PA;Department of Computer Science, University of Chicago, Chicago, IL;University of Maryland, Department of Computer Science and Institute for Advanced Computer Studies, College Park, MD

  • Venue:
  • Computational Complexity
  • Year:
  • 2006

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Abstract

We show that any 1-round 2-server Private Information Retrieval Protocol where the answers are one bit long must ask questions that are at least n - 2 bits long, which is nearly equal to the known n - 1 upper bound. This improves upon the approximately 0.25n lower bound of Kerenidis and de Wolf while avoiding their use of quantum techniques.