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

Gabizon, Ariel

ISBN 10: 3642265383 / ISBN 13: 9783642265389

Published by Springer, 2012

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Bibliographic Details

• Title: Deterministic Extraction from Weak Random Sources (Monographs in Theoretical Computer Science. An EATCS Series)
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 3642265383
• ISBN 13: 9783642265389
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

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.