Deterministic extraction from weak random sources

Author(s)

    • Gabizon, Ariel

Bibliographic Information

Deterministic extraction from weak random sources

Ariel Gabizon

(Monographs in theoretical computer science : an EATCS series)

Springer, c2011

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Note

Bibliography: p. 143-148

Description and Table of Contents

Description

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.

Table of Contents

Introduction 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 App. A, Sampling and Partitioning App. B, Basic Notions from Algebraic Geometry Bibliography

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Details

  • NCID
    BB04039676
  • ISBN
    • 9783642149023
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xi, 148 p.
  • Size
    25 cm
  • Classification
  • Parent Bibliography ID
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