Correlation extractors and their applications

  • Authors:
  • Yuval Ishai

  • Affiliations:
  • Technion

  • Venue:
  • ICITS'11 Proceedings of the 5th international conference on Information theoretic security
  • Year:
  • 2011

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Abstract

Randomness extractors convert dirty sources of randomness into clean sources of randomness. Motivated by the usefulness of correlated randomness in cryptography, we introduce an extension of randomness extraction and the related notion of privacy amplification to the case of correlated sources. Our main result is an efficient interactive twoparty protocol which extracts m clean independent instances of a given joint distribution (X, Y) from n = O(m) dirty (or "leaky") instances of the same distribution. The classical case corresponds to X and Y being identical random bits. We present several applications of correlation extractors to cryptography.