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Computer Science - Theoretical Computer Science | Deterministic Extraction from Weak Random Sources

Deterministic Extraction from Weak Random Sources

Gabizon, Ariel

2011, XII, 148 p.

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  • Constructs deterministic extractors for several types of sources
  • Examines deterministic extractors for bit-fixing sources, for affine sources and polynomial sources over large fields
  • This first complete treatment of the topic introduces new results
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.

Content Level » Research

Keywords » Affine sources - Derandomization - Deterministic extractors - Dispersers - Randomness extractors - Recycling randomness

Related subjects » Algebra - Theoretical Computer Science

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