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Book Cover
Author Gabizon, Ariel

Title Deterministic extraction from weak random sources / Ariel Gabizon
Published Berlin ; Heidelberg : Springer, ©2011


Description 1 online resource (xi, 148 pages)
Series Monographs in theoretical computer science
Monographs in theoretical computer science.
Contents Deterministic Extractors for Bit-Fixing Sources by Obtaining an Independent Seed -- Deterministic Extractors for Affine Sources over Large Fields -- Extractors and Rank Extractors for Polynomial Sources -- Increasing the Output Length of Zero-Error Dispersers
Summary 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
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Geometry, Algebraic.
MATHEMATICS -- Probability & Statistics -- Stochastic Processes.
Geometry, Algebraic
Form Electronic book
ISBN 9783642149030