Deterministic Extraction from Weak Random Sources [electronic resource] /
by Ariel Gabizon.
- XII, 148 p. online resource.
- Monographs in Theoretical Computer Science. An EATCS Series, 1431-2654 .
- Monographs in Theoretical Computer Science. An EATCS Series, .
ZDB-2-SCS
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.
9783642149030
10.1007/978-3-642-14903-0 doi
Computer science. Information theory. Geometry, algebraic. Combinatorics. Computer Science. Theory of Computation. Mathematics of Computing. Algebraic Geometry. Combinatorics.