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» On Pseudorandom Generators in NC
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ECCC
1998
105views more  ECCC 1998»
13 years 7 months ago
Pseudorandom generators without the XOR Lemma
Impagliazzo and Wigderson IW97] have recently shown that if there exists a decision problem solvable in time 2O(n) and having circuit complexity 2 (n) (for all but nitely many n) ...
Madhu Sudan, Luca Trevisan, Salil P. Vadhan
ECCC
2010
104views more  ECCC 2010»
13 years 7 months ago
Pseudorandom generators for CC0[p] and the Fourier spectrum of low-degree polynomials over finite fields
In this paper we give the first construction of a pseudorandom generator, with seed length O(log n), for CC0[p], the class of constant-depth circuits with unbounded fan-in MODp ga...
Shachar Lovett, Partha Mukhopadhyay, Amir Shpilka
APPROX
2009
Springer
85views Algorithms» more  APPROX 2009»
14 years 2 months ago
Pseudorandom Generators and Typically-Correct Derandomization
The area of derandomization attempts to provide efficient deterministic simulations of randomized algorithms in various algorithmic settings. Goldreich and Wigderson introduced a n...
Jeff Kinne, Dieter van Melkebeek, Ronen Shaltiel
IMA
2005
Springer
71views Cryptology» more  IMA 2005»
14 years 1 months ago
Concrete Security of the Blum-Blum-Shub Pseudorandom Generator
Abstract. The asymptotic security of the Blum-Blum-Shub (BBS) pseudorandom generator has been studied by Alexi et al. and Vazirani and Vazirani, who proved independently that O(log...
Andrey Sidorenko, Berry Schoenmakers
COCO
2004
Springer
78views Algorithms» more  COCO 2004»
14 years 26 days ago
Language Compression and Pseudorandom Generators
The language compression problem asks for succinct descriptions of the strings in a language A such that the strings can be efficiently recovered from their description when given...
Harry Buhrman, Troy Lee, Dieter van Melkebeek