TY - JOUR
T1 - Efficiency improvements in constructing pseudorandom generators from one-way functions
AU - Haitner, Iftach
AU - Reingold, Omer
AU - Vadhan, Salil
N1 - US-Israel BSF [2006060, 2010196]; NSF [CNS-0831289]This author's research was supported by NSF grant CNS-0831289 and by US-Israel BSF grants 2006060, 2010196.
PY - 2013
Y1 - 2013
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 [SIAM J. Comput., 28 (1999), pp. 1364.1396]. 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 [I. Haitner, O. Reingold, S. Vadhan, and H. Wee, Proceedings of the 41st Annual ACM Symposium on Theory of Computing (STOC), 2009, pp. 611. 620]. An additional advantage over previous constructions is that our pseudorandom generators are parallelizable and invoke the one-way function in a nonadaptive manner. Using [B. Applebaum, Y. Ishai, and E. Kushilevitz, SIAM J. Comput., 36 (2006), pp. 845.888], 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 [SIAM J. Comput., 28 (1999), pp. 1364.1396]. 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 [I. Haitner, O. Reingold, S. Vadhan, and H. Wee, Proceedings of the 41st Annual ACM Symposium on Theory of Computing (STOC), 2009, pp. 611. 620]. An additional advantage over previous constructions is that our pseudorandom generators are parallelizable and invoke the one-way function in a nonadaptive manner. Using [B. Applebaum, Y. Ishai, and E. Kushilevitz, SIAM J. Comput., 36 (2006), pp. 845.888], this implies the existence of pseudorandom generators in NC0 based on the existence of one-way functions in NC1.
KW - One-way functions
KW - Pseudoentropy
KW - Pseudorandom generators
UR - http://www.scopus.com/inward/record.url?scp=84883024171&partnerID=8YFLogxK
U2 - https://doi.org/10.1137/100814421
DO - https://doi.org/10.1137/100814421
M3 - مقالة
SN - 0097-5397
VL - 42
SP - 1405
EP - 1430
JO - SIAM Journal on Computing
JF - SIAM Journal on Computing
IS - 3
ER -