Deterministic Extractors for Affine Sources over Large Fields

Part of the Monographs in Theoretical Computer Science. An EATCS Series book series (EATCS)


An \((n,k)\)-affine source over a finite field \({\mathbb F}\) is a random variable \(X=(X_1,...,X_n) \in {\mathbb F}^n\), which is uniformly distributed over an (unknown) k-dimensional affine subspace of \({\mathbb F}^n\). We show how to (deterministically) extract practically all the randomness from affine sources, for any field of size larger than \(n^c\) (where c is a large enough constant). This chapter is based on [25].


Finite Field Field Size Affine Subspace Multiplicative Character Nonzero Polynomial 
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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Dept. Computer ScienceUniversity of Texas at AustinAustinUSA

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