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» A 3-Dimensional Lattice Reduction Algorithm
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EUROCRYPT
2006
Springer
13 years 9 months ago
Symplectic Lattice Reduction and NTRU
NTRU is a very efficient public-key cryptosystem based on polynomial arithmetic. Its security is related to the hardness of lattice problems in a very special class of lattices. Th...
Nicolas Gama, Nick Howgrave-Graham, Phong Q. Nguye...
ANTS
2006
Springer
100views Algorithms» more  ANTS 2006»
13 years 9 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
DMIN
2006
108views Data Mining» more  DMIN 2006»
13 years 6 months ago
Sequential and Parallel Rule Extraction from a Concept Lattice
This paper presents enhancements to previous algorithms for the sequential extraction of complete non-redundant set of rules from a concept lattice. The aim of these enhancements i...
Guillermo Tonsmann
LATIN
2010
Springer
14 years 9 days ago
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials
We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type ...
Mark van Hoeij, Andrew Novocin
ISAAC
2003
Springer
115views Algorithms» more  ISAAC 2003»
13 years 10 months ago
A Faster Lattice Reduction Method Using Quantum Search
We propose a new lattice reduction method. Our algorithm approximates shortest lattice vectors up to a factor ≤ (k/6)n/2k and makes use of Grover’s quantum search algorithm. Th...
Christoph Ludwig