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Lattices
Items for "Lattices"
Multiple planar coincidences with N-fold symmetry
Planar coincidence site lattices and modules with N-fold symmetry are well understood in a formulation based on cyclotomic fields, in particular for the class number one case, where they appear as certain principal ideals in the corresponding ring of integers...
Keywords: Lattices, Coincidence ideals, Planar modules, Cyclotomic fields, Dirichlet series
08/2006 | Zeitschrift für Kristallographie, Oldenbourg WissenschaftsverlagColor groups associated with square and hexagonal lattices
In this paper, we obtain the list of all color groups associated with a coloring of a square or hexagonal lattice Λ arising from sublattices of Λ...
Keywords: Lattices, Color groups, Color symmetry
10/2007 | Zeitschrift für Kristallographie, Oldenbourg WissenschaftsverlagSieve algorithms for the shortest vector problem are practical
The most famous lattice problem is the Shortest Vector Problem (SVP), which has many applications in cryptology...
Keywords: Lattices, AKS Algorithm, sieve, LLL, enumeration
01/2008 | Mathematical Cryptology, Walter de Gruyter