TY - GEN

T1 - Efficiency improvements in constructing pseudorandom generators from one-way functions

AU - Haitner, Iftach

AU - Reingold, Omer

AU - Vadhan, Salil

PY - 2010

Y1 - 2010

N2 - 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 Hastad, 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, 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, Ishai, Kushilevitz, SICOMP '06], this implies the existence of pseudorandom generators in NC0 based on the existence of one-way functions in NC1.

AB - 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 Hastad, 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, 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, Ishai, Kushilevitz, SICOMP '06], this implies the existence of pseudorandom generators in NC0 based on the existence of one-way functions in NC1.

KW - one-way function

KW - pseudorandom generator

KW - security preserving

UR - http://www.scopus.com/inward/record.url?scp=77954721007&partnerID=8YFLogxK

U2 - 10.1145/1806689.1806750

DO - 10.1145/1806689.1806750

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AN - SCOPUS:77954721007

SN - 9781605588179

T3 - Proceedings of the Annual ACM Symposium on Theory of Computing

SP - 437

EP - 446

BT - STOC'10 - Proceedings of the 2010 ACM International Symposium on Theory of Computing

T2 - 42nd ACM Symposium on Theory of Computing, STOC 2010

Y2 - 5 June 2010 through 8 June 2010

ER -