Publication: Constructions of algebraic lattices
Loading...
Date
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Sociedade Brasileira de Matemática Aplicada e Computacional
Type
Article
Access right
Acesso aberto
Abstract
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.
Description
Keywords
algebraic lattice, algebraic number field, Center density, twisted canonical homomorphism
Language
English
Citation
Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 29, n. 3, p. 493-505, 2010.
