Haitner, IftachReingold, OmerVadhan, Salil2011-04-282010Haitner, Iftach, Omer Reingold, and Salil Vadhan. 2010. Efficiency improvements in constructing pseudorandom generators from one-way functions. Electronic Colloquium on Computational Complexity TR10-089.1433-8092http://nrs.harvard.edu/urn-3:HUL.InstRepos:4879174We 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 \(NC^1\) .en-USone-way functionpseudorandom generatorpseudoentropyJournal Article2011-04-2810.1137/100814421