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.
Autorius: | Ariel Gabizon |
Serija: | Monographs in Theoretical Computer Science. An EATCS Series |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 2010 |
Knygos puslapių skaičius: | 160 |
ISBN-10: | 3642149022 |
ISBN-13: | 9783642149023 |
Formatas: | Knyga kietu viršeliu |
Kalba: | Anglų |
Žanras: | Algebraic geometry |
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