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ECCC
1998
105views more  ECCC 1998»
13 years 11 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 11 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 11 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 11 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 11 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 11 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