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We study the problem of constructing affine extractors over $\GF(2)$. Previously the only known construction that can handle sources with arbitrarily linear entropy is due to Bourgain (and a slight modification by Yehudayoff), which makes extensive use of complicated inequality manipulations and relies on a careful choice of a polynomial. In this paper we give a new and conceptually much cleaner construction...
We study the problem of constructing extractors for independent weak random sources. The probabilistic method shows that there exists an extractor for two independent weak random sources on bits with only logarithmic min-entropy. However, previously the best known explicit two source extractor only achieves min-entropy \cite{Bourgain05}, and the best known three source extractor only achieves...
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