Deterministic Extraction from Weak Random Sources

• Author(s): Ariel Gabizon,
• Publisher: Springer Science & Business Media
• Pages: 148
• ISBN_10: 3642149030
  ISBN_13: 9783642149030
  
• Language: en
• Categories: Computers / Computer Science , Computers / Data Science / General , Mathematics / Geometry / Algebraic , Mathematics / Combinatorics , Computers / Information Technology , Mathematics / Discrete Mathematics ,

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.