NDLI: Extracting randomness using few independent sources

Content Provider	IEEE Xplore Digital Library
Author	Barak, B. Impagliazzo, R. Wigderson, A.
Copyright Year	2004
Description	Author affiliation: Inst. for Adv. Study, Princeton, NJ, USA (Barak, B.)
Abstract	In this work we give the first deterministic extractors from a constant number of weak sources whose entropy rate is less than 1/2. Specifically, for every /spl delta/ > 0 we give an explicit construction for extracting randomness from a constant (depending polynomially on 1//spl delta/) number of distributions over {0, l}n, each having min-entropy /spl delta/n. These extractors output n bits, which are 2/sup -n/ close to uniform. This construction uses several results from additive number theory, and in particular a recent one by Bourgain, Katz and Tao (2003) and of Konyagin (2003). We also consider the related problem of constructing randomness dispersers. For any constant output length m, our dispersers use a constant number of identical distributions, each with min-entropy /spl Omega/(log n) and outputs every possible m-bit string with positive probability. The main tool we use is a variant of the "stepping-up lemma" used in establishing lower bound on the Ramsey number for hyper-graphs (Erdos and Hajnal, 1980).
Sponsorship	IEEE Comput. Soc. Tech. Soc. on Foundations of Comput
Starting Page	384
Ending Page	393
File Size	237485
Page Count	10
File Format	PDF
ISBN	0769522289
ISSN	02725428
DOI	10.1109/FOCS.2004.29
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-10-17
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Random variables Entropy Computer science Protocols Data mining Polynomials Distributed computing Cryptography Algorithm design and analysis Measurement standards
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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