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» On uniform amplification of hardness in NP
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STOC
2010
ACM
193views Algorithms» more  STOC 2010»
15 years 10 months ago
Privacy Amplification with Asymptotically Optimal Entropy Loss
We study the problem of "privacy amplification": key agreement between two parties who both know a weak secret w, such as a password. (Such a setting is ubiquitous on th...
Nishanth Chandran, Bhavana Kanukurthi, Rafail Ostr...
FSTTCS
2006
Springer
15 years 10 months ago
Some Results on Average-Case Hardness Within the Polynomial Hierarchy
Abstract. We prove several results about the average-case complexity of problems in the Polynomial Hierarchy (PH). We give a connection among average-case, worst-case, and non-unif...
Aduri Pavan, Rahul Santhanam, N. V. Vinodchandran
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
16 years 7 months ago
Gowers uniformity, influence of variables, and PCPs
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...
Alex Samorodnitsky, Luca Trevisan
FOCS
2003
IEEE
15 years 12 months ago
List-Decoding Using The XOR Lemma
We show that Yao’s XOR Lemma, and its essentially equivalent rephrasing as a Direct Product Lemma, can be re-interpreted as a way of obtaining error-correcting codes with good l...
Luca Trevisan
APPROX
2007
Springer
104views Algorithms» more  APPROX 2007»
16 years 25 days ago
Worst-Case to Average-Case Reductions Revisited
Abstract. A fundamental goal of computational complexity (and foundations of cryptography) is to find a polynomial-time samplable distribution (e.g., the uniform distribution) and...
Dan Gutfreund, Amnon Ta-Shma