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» Extractors: optimal up to constant factors
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STOC
2003
ACM
124views Algorithms» more  STOC 2003»
14 years 6 months ago
Extractors: optimal up to constant factors
This paper provides the first explicit construction of extractors which are simultaneously optimal up to constant factors in both seed length and output length. More precisely, fo...
Chi-Jen Lu, Omer Reingold, Salil P. Vadhan, Avi Wi...
COCO
2007
Springer
96views Algorithms» more  COCO 2007»
14 years 4 hour ago
Unbalanced Expanders and Randomness Extractors from Parvaresh-Vardy Codes
We give an improved explicit construction of highly unbalanced bipartite expander graphs with expansion arbitrarily close to the degree (which is polylogarithmic in the number of ...
Venkatesan Guruswami, Christopher Umans, Salil P. ...
FOCS
2000
IEEE
13 years 10 months ago
Extracting Randomness via Repeated Condensing
Extractors (defined by Nisan and Zuckerman) are procedures that use a small number of truly random bits (called the seed) to extract many (almost) truly random bits from arbitrar...
Omer Reingold, Ronen Shaltiel, Avi Wigderson
IPL
2002
93views more  IPL 2002»
13 years 5 months ago
Storing information with extractors
We deal with the problem of storing a set of K elements that are taken from a large universe of size N, such that membership in the set can be determined with high probability by ...
Amnon Ta-Shma
ECCC
2006
77views more  ECCC 2006»
13 years 5 months ago
Extractors and condensers from univariate polynomials
We give new constructions of randomness extractors and lossless condensers that are optimal to within constant factors in both the seed length and the output length. For extractor...
Venkatesan Guruswami, Christopher Umans, Salil P. ...