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» Extractors Using Hardness Amplification
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ECCC
2006
116views more  ECCC 2006»
13 years 4 months ago
Uniform Hardness Amplification in NP via Monotone Codes
We consider the problem of amplifying uniform average-case hardness of languages in NP, where hardness is with respect to BPP algorithms. We introduce the notion of monotone error...
Joshua Buresh-Oppenheim, Valentine Kabanets, Rahul...
CC
2008
Springer
133views System Software» more  CC 2008»
13 years 5 months ago
Hardness Amplification via Space-Efficient Direct Products
We prove a version of the derandomized Direct Product lemma for deterministic space-bounded algorithms. Suppose a Boolean function g : {0, 1}n {0, 1} cannot be computed on more th...
Venkatesan Guruswami, Valentine Kabanets
TCC
2009
Springer
141views Cryptology» more  TCC 2009»
14 years 5 months ago
Proofs of Retrievability via Hardness Amplification
Proofs of Retrievability (PoR), introduced by Juels and Kaliski [JK07], allow the client to store a file F on an untrusted server, and later run an efficient audit protocol in whi...
Yevgeniy Dodis, Salil P. Vadhan, Daniel Wichs
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
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 5 months ago
Better extractors for better codes?
We present an explicit construction of codes that can be list decoded from a fraction (1 - ) of errors in sub-exponential time and which have rate / logO(1) (1/). This comes close...
Venkatesan Guruswami