Efficiency Improvements in Constructing Pseudorandom Generators from One-Way Functions

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Efficiency Improvements in Constructing Pseudorandom Generators from One-Way Functions

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Title: Efficiency Improvements in Constructing Pseudorandom Generators from One-Way Functions
Author: Haitner, Iftach; Reingold, Omer; Vadhan, Salil P.

Note: Order does not necessarily reflect citation order of authors.

Citation: Haitner, Iftach, Omer Reingold, and Salil Vadhan. 2010. Efficiency improvements in constructing pseudorandom generators from one-way functions. Electronic Colloquium on Computational Complexity TR10-089.
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Abstract: We give a new construction of pseudorandom generators from any one-way function. The construction achieves better parameters and is simpler than that given in the seminal work of Haastad, Impagliazzo, Levin and Luby [SICOMP '99]. The key to our construction is a new notion of next-block pseudoentropy, which is inspired by the notion of "inaccessible entropy"' recently introduced in [Haitner, Reingold, Vadhan and Wee, STOC '09]. An additional advantage over previous constructions is that our pseudorandom generators are parallelizable and invoke the one-way function in a non-adaptive manner. Using [Applebaum, Yuval and Kushilevitz, SICOMP '06], this implies the existence of pseudorandom generators in \(NC^0\) based on the existence of one-way functions in \(NC^1\) .
Published Version: http://www.eccc.uni-trier.de/report/2010/089/
Other Sources: http://people.seas.harvard.edu/~salil/research/OWFtoPRG-stoc10.pdf
http://people.seas.harvard.edu/~salil/research/OWFtoPRG-ECCC-May10.pdf
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:4879174

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  • FAS Scholarly Articles [7220]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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