Affine extractors over large fields with exponential error

Jean Bourgain; Zeev Dvir; Ethan Leeman

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arXiv · 1401.6189

Affine extractors over large fields with exponential error

Jean Bourgain·Zeev Dvir·Ethan Leeman

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Abstract

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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Jean Bourgain, Zeev Dvir, Ethan Leeman. 2014-01-23. Affine extractors over large fields with exponential error. https://arxiv.org/abs/1401.6189

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