Extracting All the Randomness and Reducing the Error in Trevisan's Extractors

@article{Raz1999ExtractingAT,
  title={Extracting All the Randomness and Reducing the Error in Trevisan's Extractors},
  author={Ran Raz and Omer Reingold and Salil P. Vadhan},
  journal={Electronic Colloquium on Computational Complexity (ECCC)},
  year={1999}
}
We give explicit constructions of extractors which work for a source of any min-entropy on strings of length n. These extractors can extract any constant fraction of the min-entropy using O(log n) additional random bits, and can extract all the min-entropy using O(log n) additional random bits. Both of these constructions use fewer truly random bits than any previous construction which works for all minentropies and extracts a constant fraction of the min-entropy. We then improve our second… CONTINUE READING
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