Affine Extractors Over Prime Fields

COMPUTER SCIENCE/DISCRETE MATH II
Topic:Affine Extractors Over Prime Fields
Speaker:Amir Yehudayoff
Affiliation:Member, School of Mathematics, Institute for Advanced Study
Date:Tuesday, March 10
Time/Room:10:30am - 12:30pm/S-101

Affine extractors are maps over F^n that are balanced on every affine subspace of large enough dimension. A random map is, with high probability, a good affine extractor. However so far we do not know how to build explicit affine extractors that are as good as the random ones. We will discuss a construction of an explicit affine extractor, in the spirit of a previous construction by Bourgain. This construction yields a slightly better affine extractor, and a simpler proof.