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- W1529274404 abstract "We give new pseudorandom generators for regular read-once branching programs of small width. A branching program is regular if the in-degree of every vertex in it is either 0 or 2, except for the first layer. For every width $d$ and length $n$, our pseudorandom generator uses a seed of length $O((log d + loglog n + log(1/epsilon))log n)$ to produce $n$ bits that cannot be distinguished from a uniformly random string by any regular width $d$ length $n$ read-once branching program, except with probability $epsilon$. We also give a result for general read-once branching programs, in the case that there are no vertices that are reached with small probability. We show that if a (possibly nonregular) branching program of length $n$ and width $d$ has the property that every vertex in the program is traversed with probability at least $gamma$ on a uniformly random input, then the error of the generator above is at most $2 epsilon/gamma^2$. Finally, we show that the set of all binary strings with less th..." @default.
- W1529274404 created "2016-06-24" @default.
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- W1529274404 date "2010-01-01" @default.
- W1529274404 modified "2023-09-23" @default.
- W1529274404 title "Pseudorandom Generators for Regular Branching Programs." @default.
- W1529274404 hasPublicationYear "2010" @default.
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