Sumegha Garg, Princeton University

Abstract

Nisan [Nis92] constructed a pseudorandom generator for length n, width n read-once branching programs (ROBPs) with error ε and seed length O(log^2(n) + log(n) · log(1/ε)). A major goal in complexity theory is to reduce the seed length, hopefully, to the optimal O(log(n) + log(1/ε)), or to construct improved hitting sets, as these would yield stronger derandomization of BPL and RL, respectively.