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 ideals of a ring of algebraic integers. Mathematical subject classification: 18B35, 94A15, 20H10.

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Bibliographic Details
Main Authors: Andrade,A.A, Ferrari,A.J, Benedito,C.W.O, Costa,S.I.R
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2010
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300010
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