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ECCC
1998
105views more  ECCC 1998»
13 years 4 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
1998
118views more  ECCC 1998»
13 years 4 months ago
Chinese Remaindering with Errors
The Chinese Remainder Theorem states that a positive integer m is uniquely speci ed by its remainder modulo k relatively prime integers p1;:::;pk, provided m < Qk i=1 pi. Thus ...
Oded Goldreich, Dana Ron, Madhu Sudan
ECCC
1998
55views more  ECCC 1998»
13 years 4 months ago
Characterizing Small Depth and Small Space Classes by Operators of Higher Types
Manindra Agrawal, Eric Allender, Samir Datta, Heri...
ECCC
1998
80views more  ECCC 1998»
13 years 4 months ago
Extracting All the Randomness from a Weakly Random Source
In this paper, we give two explicit constructions of extractors, both of which work for a source of any min-entropy on strings of length n. The rst extracts any constant fraction ...
Salil P. Vadhan
ECCC
1998
88views more  ECCC 1998»
13 years 4 months ago
Computational Indistinguishability: A Sample Hierarchy
We consider the existence of pairs of probability ensembles which may be efficiently distinguished from each other given k samples but cannot be efficiently distinguished given ...
Oded GoldreichMadhu Sudan
ECCC
1998
117views more  ECCC 1998»
13 years 4 months ago
Determinant: Old Algorithms, New Insights
In this paper we approach the problem of computing the characteristic polynomial of a matrix from the combinatorial viewpoint. We present several combinatorial characterizations of...
Meena Mahajan, V. Vinay