Improved Pseudorandomness for Unordered Branching Programs through Local Monotonicity

STOC '18: Symposium on Theory of Computing Los Angeles CA USA June, 2018, pp. 363-375, 2018.

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Keywords:
Branching programsFourier analysispseudorandom generatorssmall-space computationspace-bounded computationMore(1+)

Abstract:

We present an explicit pseudorandom generator with seed length Õ((logn)w+1) for read-once, oblivious, width w branching programs that can read their input bits in any order. This improves upon the work of Impagliazzo, Meka and Zuckerman (FOCS’12) where they required seed length n1/2+o(1). A central ingredient in our work is the followin...More

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