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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > JEAN BOURGAIN:
All reports by Author Jean Bourgain:

TR14-010 | 23rd January 2014
Jean Bourgain, Zeev Dvir, Ethan Leeman

Affine extractors over large fields with exponential error

We describe a construction of explicit affine extractors over large finite fields with exponentially small error and linear output length. Our construction relies on a deep theorem of Deligne giving tight estimates for exponential sums over smooth varieties in high dimensions.

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