Deterministic Extraction from Weak Random Sources (Monographs in Theoretical Computer Science. An EATCS Series) - Hardcover

Gabizon, Ariel

 
9783642149023: Deterministic Extraction from Weak Random Sources (Monographs in Theoretical Computer Science. An EATCS Series)

Inhaltsangabe

A deterministic extractor is a function that extracts almost perfect random bits from a weak random source. In this research monograph the author constructs deterministic extractors for several types of sources. A basic theme in this work is a methodology of recycling randomness which enables increasing the output length of deterministic extractors to near optimal length. The author's main work examines deterministic extractors for bit-fixing sources, deterministic extractors for affine sources and polynomial sources over large fields, and increasing the output length of zero-error dispersers. This work will be of interest to researchers and graduate students in combinatorics and theoretical computer science.

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A deterministic extractor is a function that extracts almost perfect random bits from a weak random source. In this research monograph the author constructs deterministic extractors for several types of sources. A basic theme in this work is a methodology of recycling randomness which enables increasing the output length of deterministic extractors to near optimal length. The author's main work examines deterministic extractors for bit-fixing sources, deterministic extractors for affine sources and polynomial sources over large fields, and increasing the output length of zero-error dispersers. This work will be of interest to researchers and graduate students in combinatorics and theoretical computer science.

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9783642265389: Deterministic Extraction from Weak Random Sources (Monographs in Theoretical Computer Science. An EATCS Series)

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ISBN 10:  3642265383 ISBN 13:  9783642265389
Verlag: Springer, 2012
Softcover