|COMPUTER SCIENCE/DISCRETE MATH II|
|Topic:||Affine Extractors Over Prime Fields|
|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.