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CC
2005
Springer
118views System Software» more  CC 2005»
13 years 4 months ago
The complexity of constructing pseudorandom generators from hard functions
We study the complexity of constructing pseudorandom generators (PRGs) from hard functions, focussing on constant-depth circuits. We show that, starting from a function f : {0, 1}l...
Emanuele Viola
FOCS
1999
IEEE
13 years 9 months ago
Near-Optimal Conversion of Hardness into Pseudo-Randomness
Various efforts ([?, ?, ?]) have been made in recent years to derandomize probabilistic algorithms using the complexity theoretic assumption that there exists a problem in E = dti...
Russell Impagliazzo, Ronen Shaltiel, Avi Wigderson
ICALP
2005
Springer
13 years 10 months ago
Simple Extractors via Constructions of Cryptographic Pseudo-random Generators
Trevisan has shown that constructions of pseudo-random generators from hard functions (the Nisan-Wigderson approach) also produce extractors. We show that constructions of pseudo-r...
Marius Zimand
TCC
2012
Springer
227views Cryptology» more  TCC 2012»
12 years 14 days ago
Hardness Preserving Constructions of Pseudorandom Functions
We show a hardness-preserving construction of a PRF from any length doubling PRG which improves upon known constructions whenever we can put a non-trivial upper bound q on the numb...
Abhishek Jain, Krzysztof Pietrzak, Aris Tentes
TIT
2008
116views more  TIT 2008»
13 years 4 months ago
On the Complexity of Hardness Amplification
We study the task of transforming a hard function f, with which any small circuit disagrees on (1 - )/2 fraction of the input, into a harder function f , with which any small circ...
Chi-Jen Lu, Shi-Chun Tsai, Hsin-Lung Wu