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» Isomorphisms of Algebraic Number Fields
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STOC
2002
ACM
126views Algorithms» more  STOC 2002»
14 years 7 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren
FSE
2000
Springer
96views Cryptology» more  FSE 2000»
13 years 11 months ago
On the Interpolation Attacks on Block Ciphers
Abstract. The complexity of interpolation attacks on block ciphers depends on the degree of the polynomial approximation and or on the number of terms in the polynomial approximati...
Amr M. Youssef, Guang Gong
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 7 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous
PAMI
2010
119views more  PAMI 2010»
13 years 5 months ago
Efficient Multilevel Eigensolvers with Applications to Data Analysis Tasks
—Multigrid solvers proved very efficient for solving massive systems of equations in various fields. These solvers are based on iterative relaxation schemes together with the app...
Dan Kushnir, Meirav Galun, Achi Brandt
CASES
2005
ACM
13 years 9 months ago
A post-compilation register reassignment technique for improving hamming distance code compression
Code compression is a field where compression ratios between compiler-generated code and subsequent compressed code are highly dependent on decisions made at compile time. Most op...
Montserrat Ros, Peter Sutton