Computer Science/Discrete Mathematics Seminar II

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.