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ANTS
2006
Springer
100views Algorithms» more  ANTS 2006»
15 years 1 months ago
LLL on the Average
Despite their popularity, lattice reduction algorithms remain mysterious in many ways. It has been widely reported that they behave much more nicely than what was expected from the...
Phong Q. Nguyen, Damien Stehlé
ANTS
2006
Springer
99views Algorithms» more  ANTS 2006»
15 years 1 months ago
The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds
For the families ax4 = by4 +z4 +v4 +w4 , a, b = 1, . . . , 100, and ax3 = by3 + z3 + v3 + w3 , a, b = 1, . . . , 100, of projective algebraic threefolds, we test numerically the co...
Andreas-Stephan Elsenhans, Jörg Jahnel
ANTS
2006
Springer
91views Algorithms» more  ANTS 2006»
15 years 1 months ago
Practical Lattice Basis Sampling Reduction
We propose a practical sampling reduction algorithm for lattice bases based on work by Schnorr [1] as well as two even more effective generalizations. We report the empirical behav...
Johannes Buchmann, Christoph Ludwig
ANTS
2006
Springer
93views Algorithms» more  ANTS 2006»
15 years 1 months ago
Classification of Genus 3 Curves in Special Strata of the Moduli Space
Abstract. We describe the invariants of plane quartic curves -- nonhyperelliptic genus 3 curves in their canonical model -- as determined by Dixmier and Ohno, with application to t...
Martine Girard, David R. Kohel
GECCO
2006
Springer
130views Optimization» more  GECCO 2006»
15 years 1 months ago
Investigation on artificial ant using analytic programming
The paper deals with a alternative tool for symbolic regression
Zuzana Oplatková, Ivan Zelinka