Affine extractors over large fields with exponential error

被引：0
|
作者：
Jean Bourgain
Zeev Dvir
Ethan Leeman
机构：
[1] Institute for Advanced Study,School of Mathematics
[2] Princeton University,Department of Computer Science
[3] Princeton University,Department of Mathematics
[4] The University of Texas at Austin,Department of Mathematics
来源：
computational complexity | 2016年 / 25卷
关键词：
Explicit constructions; derandomization; finite fields; 68W20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：921 / 931
页数：10
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