All reports by Author Edward Pyne:

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TR21-019
| 17th February 2021
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Edward Pyne, Salil Vadhan#### Pseudodistributions That Beat All Pseudorandom Generators

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TR20-138
| 9th September 2020
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William Hoza, Edward Pyne, Salil Vadhan#### Pseudorandom Generators for Unbounded-Width Permutation Branching Programs

Revisions: 1

Edward Pyne, Salil Vadhan

A recent paper of Braverman, Cohen, and Garg (STOC 2018) introduced the concept of a pseudorandom pseudodistribution generator (PRPG), which amounts to a pseudorandom generator (PRG) whose outputs are accompanied with real coefficients that scale the acceptance probabilities of any potential distinguisher. They gave an explicit construction of PRPGs for ... more >>>

William Hoza, Edward Pyne, Salil Vadhan

We prove that the Impagliazzo-Nisan-Wigderson (STOC 1994) pseudorandom generator (PRG) fools ordered (read-once) permutation branching programs of unbounded width with a seed length of $\widetilde{O}(\log d + \log n \cdot \log(1/\varepsilon))$, assuming the program has only one accepting vertex in the final layer. Here, $n$ is the length of the ... more >>>