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» Pseudorandom Generators, Measure Theory, and Natural Proofs
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FOCS
1995
IEEE
13 years 9 months ago
Pseudorandom Generators, Measure Theory, and Natural Proofs
We prove that if strong pseudorandom number generators exist, then the class of languages that have polynomialsized circuits (P/poly) is not measurable within exponential time, in...
Kenneth W. Regan, D. Sivakumar, Jin-yi Cai
FOCS
2008
IEEE
14 years 12 hour ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
ASIACRYPT
2006
Springer
13 years 9 months ago
On the Provable Security of an Efficient RSA-Based Pseudorandom Generator
Pseudorandom Generators (PRGs) based on the RSA inversion (one-wayness) problem have been extensively studied in the literature over the last 25 years. These generators have the a...
Ron Steinfeld, Josef Pieprzyk, Huaxiong Wang
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 5 months ago
Pseudorandom generators and the BQP vs. PH problem
It is a longstanding open problem to devise an oracle relative to which BQP does not lie in the Polynomial-Time Hierarchy (PH). We advance a natural conjecture about the capacity ...
Bill Fefferman, Christopher Umans
CCS
2005
ACM
13 years 11 months ago
A model and architecture for pseudo-random generation with applications to /dev/random
We present a formal model and a simple architecture for robust pseudorandom generation that ensures resilience in the face of an observer with partial knowledge/control of the gen...
Boaz Barak, Shai Halevi