Title
An Exposition of Bourgain's 2-Source Extractor
Abstract
A construction of Bourgain (Bou05) gave the first 2-source extractor to break the min-entropy rate 1/2 barrier. In this note, we write an exposition of his result, giving a high level way to view his extractor construction. We also include a proof of a generalization of Vazirani's XOR lemma that seems interesting in its own right, and an argument (due to Boaz Barak) that shows that any two source extractor with sufficiently small error must bestrong.
Year
Venue
Keywords
2007
Electronic Colloquium on Computational Complexity (ECCC)
extractors,entropy rate
Field
DocType
Volume
Discrete mathematics,Extractor,Mathematics,Lemma (mathematics)
Journal
14
Issue
Citations 
PageRank 
034
20
0.88
References 
Authors
8
1
Name
Order
Citations
PageRank
Anup Rao158132.80