NDLI: Randomness extractors and their many guises

Content Provider	IEEE Xplore Digital Library
Author	Vadhan, S.P.
Copyright Year	2002
Description	Author affiliation: Harvard Univ., Cambridge, MA, USA (Vadhan, S.P.)
Abstract	Since its introduction by Nisan and Zuckerman at STOC '93 (1996) nearly a decade ago, the notion of a randomness extractor has proven to be a fundamental and powerful one. Extractors and their variants have found widespread application in a variety of areas, including pseudorandomness and derandomization, combinatorics, cryptography, data structures, and computational complexity. Equally striking has been a sequence of discoveries showing that, under different interpretations, extractors are close relatives of a number of other important objects, such as expander graphs, hash functions, error-correcting codes, pseudorandom generators, and sampling algorithms. Through these connections, extractors have unified the study of these objects and have led to new and improved constructions of each. We give an introduction to the study of extractors. The article is built around the connections between extractors and the other objects mentioned above. Within the context of these connections, we hope to convey an understanding of the definition of extractors, some intuition for how they are constructed, and a glimpse of their use in applications.
Sponsorship	IEEE Comput. Soc. Tech. Committee on Maht. Found. Comput. (TCMF) ACM/SIGACT
File Size	222693
File Format	PDF
ISBN	0769518222
ISSN	02725428
DOI	10.1109/SFCS.2002.1181877
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-11-19
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Data mining Graph theory Error correction codes Random variables Computer science Combinatorial mathematics Cryptography Data structures Computational complexity Sampling methods
Content Type	Text
Resource Type	Article

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