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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.1401.6189 |