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ECCC

1998

1998

In this paper, we give two explicit constructions of extractors, both of which work for a source of any min-entropy on strings of length n. The rst extracts any constant fraction of the min-entropy using Olog2 n additional random bits. The second extracts all the min-entropy using Olog3 n additional random bits. Both constructions use fewer truly random bits than any previous construction which works for all min-entropies and extracts a constant fraction of the min-entropy. The extractors are obtained by observing that a weaker notion of combinatorial design" su ces for the Nisan Wigderson pseudorandom generator NW94 , which underlies the recent extractor of Trevisan Tre98 . We give near-optimal constructions of such weak designs" which achieve much better parameters than possible with the notion of designs used by Nisan Wigderson and Trevisan.

Related Content

Added |
22 Dec 2010 |

Updated |
22 Dec 2010 |

Type |
Journal |

Year |
1998 |

Where |
ECCC |

Authors |
Salil P. Vadhan |

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