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STOC
2003
ACM
124views Algorithms» more  STOC 2003»
14 years 7 months ago
Extractors: optimal up to constant factors
This paper provides the first explicit construction of extractors which are simultaneously optimal up to constant factors in both seed length and output length. More precisely, fo...
Chi-Jen Lu, Omer Reingold, Salil P. Vadhan, Avi Wi...
EUROCRYPT
2012
Springer
11 years 10 months ago
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Jean-Charles Faugère, Ludovic Perret, Chris...
EUROCRYPT
1999
Springer
13 years 11 months ago
Proving in Zero-Knowledge that a Number Is the Product of Two Safe Primes
Abstract. We present the first efficient statistical zero-knowledge protocols to prove statements such as: – A committed number is a prime. – A committed (or revealed) number ...
Jan Camenisch, Markus Michels
SIAMCOMP
2011
12 years 10 months ago
Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut
We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove in...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 7 months ago
Pseudorandom generators and the BQP vs. PH problem
It is a longstanding open problem to devise an oracle relative to which BQP does not lie in the Polynomial-Time Hierarchy (PH). We advance a natural conjecture about the capacity ...
Bill Fefferman, Christopher Umans