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A Note on the Influence of anε-Biased Random Source

✍ Scribed by Amir Ben-Dor; Anna Karlin; Nathan Linial; Yuri Rabinovich

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
103 KB
Volume
58
Category
Article
ISSN
0022-0000

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✦ Synopsis

2 &= and 1 2 +=. Given a family S [0, 1] n of binary strings of length n, its =-enhanced probability Pr = (S) is defined as the maximum of Pr X (S) over all =-biased random sources X. In this paper we establish a tight lower bound on Pr = (S) as a function of |S|, n and =.

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