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- W277859040 abstract "We continue the study of locally computable pseudorandom generators (PRGs) $G: {0,1}^n rightarrow {0,1}^m$ such that each of their outputs depends on a small number $d$ of input bits. While it is known that such generators are likely to exist for the case of small sublinear stretch $m=n+n^{1-delta}$, it is less clear whether achieving larger stretch such as $m=n+Omega(n)$ or even $m=n^{1+delta}$ is possible. The existence of such PRGs, which was posed as an open question in previous works, has recently gained an additional motivation due to several interesting applications. We make progress towards resolving this question by obtaining several local constructions based on the one-wayness of “random” local functions---a variant of an assumption made by Goldreich [Candidate one-way functions based on exporter graphs, 7 (ECCC 2000), TRCO-090]. Specifically, we construct collections of PRGs with the following parameters: (1) linear stretch $m=n+Omega(n)$ and constant locality $d=O(1)$; (2) polynomial ..." @default.
- W277859040 created "2016-06-24" @default.
- W277859040 creator A5086684679 @default.
- W277859040 date "2011-01-01" @default.
- W277859040 modified "2023-09-24" @default.
- W277859040 title "Pseudorandom Generators with Long Stretch and Low locality from Random Local One-Way Functions." @default.
- W277859040 hasPublicationYear "2011" @default.
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