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Limitations of the Impagliazzo-Nisan-Wigderson Pseudorandom Generator Against Permutation Branching Programs

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The classic Impagliazzo-Nisan-Wigderson (INW) pseudorandom generator (PRG) (STOC '94) for space-bounded computation uses a seed of length O ( log n · log ( n w / ε ) + log d ) to fool ordered branching programs of length n, width w, and alphabet siz... ...