Deterministic Randomness Extraction from Generalized and Distributed Santha-Vazirani Sources

  title={Deterministic Randomness Extraction from Generalized and Distributed Santha-Vazirani Sources},
  author={Salman Beigi and Omid Etesami and Amin Gohari},
  journal={SIAM J. Comput.},
A Santha-Vazirani (SV) source is a sequence of random bits where the conditional distribution of each bit, given the previous bits, can be partially controlled by an adversary. Santha and Vazirani show that deterministic randomness extraction from these sources is impossible. In this paper, we study the generalization of SV sources for non-binary sequences. We show that unlike the binary case, deterministic randomness extraction in the generalized case is sometimes possible. We present a… CONTINUE READING
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