Affine extractors over large fields with exponential error
Author(s): Bourgain, J; Dvir, Zeev; Leeman, E
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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. |
Publication Date: | Dec-2016 |
Electronic Publication Date: | 2-Sep-2015 |
Citation: | Bourgain, J, Dvir, Z, Leeman, E. (2016). Affine extractors over large fields with exponential error. Computational Complexity, 25 (921 - 931. doi:10.1007/s00037-015-0108-5 |
DOI: | doi:10.1007/s00037-015-0108-5 |
Pages: | 921 - 931 |
Type of Material: | Journal Article |
Journal/Proceeding Title: | Computational Complexity |
Version: | Author's manuscript |
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