Pseudorandom generators for width-3 branching programs
Raghu Meka, Omer Reingold, Avishay Tal · 2019
We construct pseudorandom generators of seed length Õ(log(n)· log(1/є)) that є-fool ordered read-once branching programs (ROBPs) of width 3 and length n. For unordered ROBPs, we construct pseudorandom generators with seed length Õ(log(n) · poly(1/є)). This is the first improvement for pseudorandom generators fooling width 3 ROBPs since the work of Nisan [Combinatorica, 1992].