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FCT
1991
Springer
13 years 8 months ago
Lattice Basis Reduction: Improved Practical Algorithms and Solving Subset Sum Problems
We report on improved practical algorithms for lattice basis reduction. We propose a practical oating point version of the L3{algorithm of Lenstra, Lenstra, Lovasz (1982). We pres...
Claus-Peter Schnorr, M. Euchner
STACS
2005
Springer
13 years 10 months ago
Solving Medium-Density Subset Sum Problems in Expected Polynomial Time
The subset sum problem (SSP) (given n numbers and a target bound B, find a subset of the numbers summing to B), is one of the classical NP-hard problems. The hardness of SSP vari...
Abraham Flaxman, Bartosz Przydatek
WAE
2000
103views Algorithms» more  WAE 2000»
13 years 6 months ago
Lattice Basis Reduction with Dynamic Approximation
Abstract. In this paper we present a heuristic based on dynamic approximations for improving the well-known Schnorr-Euchner lattice basis reduction algorithm. In particular, the ne...
Werner Backes, Susanne Wetzel
DCC
2007
IEEE
14 years 4 months ago
Low-density attack revisited
The low-density attack proposed by Lagarias and Odlyzko is a powerful algorithm against the subset sum problem. The improvement algorithm due to Coster et al. would solve almost a...
Tetsuya Izu, Jun Kogure, Takeshi Koshiba, Takeshi ...
AI
1998
Springer
13 years 4 months ago
A Complete Anytime Algorithm for Number Partitioning
Given a set of numbers, the two-way partitioning problem is to divide them into two subsets, so that the sum of the numbers in each subset are as nearly equal as possible. The pro...
Richard E. Korf