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EUROCRYPT
2006
Springer
13 years 8 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...
FOCS
1990
IEEE
13 years 8 months ago
The Lattice Reduction Algorithm of Gauss: An Average Case Analysis
The lattice reduction algorithm of Gauss is shown to have an average case complexity which is asymptotic to a constant.
Brigitte Vallée, Philippe Flajolet
ANTS
2006
Springer
100views Algorithms» more  ANTS 2006»
13 years 8 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
LICS
1997
IEEE
13 years 8 months ago
Automata, Tableaus and a Reduction Theorem for Fixpoint Calculi in Arbitrary Complete Lattices
Fixpoint expressions built from functional signatures interpreted over arbitrary complete lattices are considered. A generic notionof automatonis defined and shown, by means of a ...
David Janin
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