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IACR
2011
115views more  IACR 2011»
12 years 4 months ago
Pseudorandom Functions and Lattices
We give direct constructions of pseudorandom function (PRF) families based on conjectured hard lattice problems and learning problems. Our constructions are asymptotically effici...
Abhishek Banerjee, Chris Peikert, Alon Rosen
CRYPTO
2003
Springer
92views Cryptology» more  CRYPTO 2003»
13 years 10 months ago
Derandomization in Cryptography
We give two applications of Nisan–Wigderson-type (“non-cryptographic”) pseudorandom generators in cryptography. Specifically, assuming the existence of an appropriate NW-ty...
Boaz Barak, Shien Jin Ong, Salil P. Vadhan
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
CSR
2011
Springer
12 years 8 months ago
Improving the Space-Bounded Version of Muchnik's Conditional Complexity Theorem via "Naive" Derandomization
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...
Daniil Musatov
FOCS
1996
IEEE
13 years 9 months ago
Discrepancy Sets and Pseudorandom Generators for Combinatorial Rectangles
A common subproblem of DNF approximate counting and derandomizing RL is the discrepancy problem for combinatorial rectangles. We explicitly construct a poly(n)-size sample space t...
Roy Armoni, Michael E. Saks, Avi Wigderson, Shiyu ...