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» Recursive Lattice Reduction
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SCN
2010
Springer
122views Communications» more  SCN 2010»
13 years 2 months ago
Recursive Lattice Reduction
Abstract. Lattice reduction is known to be a very powerful tool in modern cryptanalysis. In the literature, there are many lattice reduction algorithms that have been proposed with...
Thomas Plantard, Willy Susilo
EUROPAR
2010
Springer
13 years 5 months ago
Parallel Enumeration of Shortest Lattice Vectors
Abstract. Lattice basis reduction is the problem of finding short vectors in lattices. The security of lattice based cryptosystems is based on the hardness of lattice reduction. Fu...
Özgür Dagdelen, Michael Schneider 0002
DCG
1999
89views more  DCG 1999»
13 years 4 months ago
On Flag Vectors, the Dowling Lattice, and Braid Arrangements
Westudycomplexhyperplanearrangementswhoseintersectionlattices,known as the Dowling lattices, are a natural generalization of the partition lattice. We give a combinatorial descript...
Richard Ehrenborg, Margaret Readdy
EUSFLAT
2007
131views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
Free MV-algebras
We describe n-generated free MV -algebras as MV-algebras having the lattice reduct which is a direct limit in the category of distributive lattices.
Antonio di Nola, Revaz Grigolia
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...