Deterministic Extraction from Weak Random Sources

Nonfiction, Computers, Advanced Computing, Computer Science, Database Management, Data Processing, General Computing
Cover of the book Deterministic Extraction from Weak Random Sources by Ariel Gabizon, Springer Berlin Heidelberg
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Author: Ariel Gabizon ISBN: 9783642149030
Publisher: Springer Berlin Heidelberg Publication: October 7, 2010
Imprint: Springer Language: English
Author: Ariel Gabizon
ISBN: 9783642149030
Publisher: Springer Berlin Heidelberg
Publication: October 7, 2010
Imprint: Springer
Language: English

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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