# Efficiency Improvements in Constructing Pseudorandom Generators from One-Way Functions

 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. Full Text & Related Files: vadhan_eccc.pdf (3.526Mb; PDF) 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 Downloads of this work: