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CORR
2010
Springer
208views Education» more  CORR 2010»
13 years 10 months ago
MapReduce for Integer Factorization
Abstract. Integer factorization is a very hard computational problem. Currently no ecient algorithm for integer factorization is publicly known. However, this is an important probl...
Javier Tordable
ANTS
2004
Springer
111views Algorithms» more  ANTS 2004»
14 years 3 months ago
A Method to Solve Cyclotomic Norm Equations
We present a technique to recover f ∈ Q(ζp) where ζp is a primitive pth root of unity for a prime p, given its norm g = f ∗ ¯f in the totally real field Q(ζp + ζ−1 p )....
Nick Howgrave-Graham, Michael Szydlo
ANTS
2006
Springer
127views Algorithms» more  ANTS 2006»
14 years 1 months ago
Doubly-Focused Enumeration of Pseudosquares and Pseudocubes
This paper offers numerical evidence for a conjecture that primality proving may be done in (log N)3+o(1) operations by examining the growth rate of quantities known as pseudosquar...
Kjell Wooding, Hugh C. Williams
COMPUTING
2007
118views more  COMPUTING 2007»
13 years 9 months ago
The construction of good extensible Korobov rules
In this paper we introduce construction algorithms for Korobov rules for numerical integration which work well for a given set of dimensions simultaneously. The existence of such ...
Josef Dick, Friedrich Pillichshammer, Benjamin J. ...
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
12 years 7 days ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala