Constructions of algebraic lattices

In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via...

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Bibliographic Details
Published in:Computational & applied mathematics 2010, Vol.29 (3), p.493-505
Main Authors: Andrade, A.A, Ferrari, A.J, Benedito, C.W.O, Costa, S.I.R
Format: Article
Language:English
Subjects:
MATHEMATICS, APPLIED
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Summary:In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via ideals of a ring of algebraic integers. Mathematical subject classification: 18B35, 94A15, 20H10.
ISSN:1807-0302
DOI:10.1590/S1807-03022010000300010