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.
| ISBN: | 9783642149023 |
| Publication date: | 8th October 2010 |
| Author: | Ariel Gabizon |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Hardback |
| Pagination: | 148 pages |
| Series: | Monographs in Theoretical Computer Science. An EATCS Series |
| Genres: |
Mathematical theory of computation Maths for computer scientists Algebraic geometry Discrete mathematics |