Basis reduction for layered lattices

Torreão Dassen, Erwin

We develop the theory of layered Euclidean spaces and layered lattices. With this new theory certain problems that usually are solved by using classical lattices with a "weighting" gain a new, more natural form. Using the layered lattice basis reduction algorithms introduced here these problems can be solved efficiently.

Additional Metadata
Keywords	lattices, basis reduction, layered lattices
MSC	General reference works (handbooks, dictionaries, bibliographies, etc.) (msc 11-00), General reference works (handbooks, dictionaries, bibliographies, etc.) (msc 15-00)
THEME	Software (theme 1)
Promotor	H.W. Lenstra (Hendrik)
Degree Grantor	Universiteit Leiden
ISBN	978-90-818191-0-7
Organisation	Cryptology
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Torreão Dassen, E. (2011, December 20). Basis reduction for layered lattices.

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