Simulating BPP using a general weak random source

  • Authors:
  • David Zuckerman

  • Affiliations:
  • -

  • Venue:
  • SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
  • Year:
  • 1991

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Abstract

It is shown how to simulate BPP and approximation algorithms in polynomial time using the output from a delta -source. A delta -source is a weak random source that is asked only once for R bits, and must output an R-bit string according to some distribution that places probability no more than 2/sup - delta R/ on any particular string. Also given are two applications: one to show the difficulty of approximating the size of the maximum clique, and the other to the problem of implicit O(1) probe search.