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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Constructions of Dense Lattices over Number Fields

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Author(s):
A.A. ANDRADE [1] ; A.J. FERRARI [2] ; J.C. INTERLANDO [3] ; R. R. ARAUJO [4]
Total Authors: 4
Affiliation:
[1] Universidade Estadual Paulista “Júlio de Mesquita Filho”. Instituto de Biociências, Letras e Ciências Exatas. Departamento de Matemática - Brasil
[2] Universidade Estadual Paulista “Júlio de Mesquita Filho”. Faculdade de Ciências. Departamento de Matemática - Brasil
[3] San Diego State University. Department of Mathematics & Statistics - Estados Unidos
[4] Instituto Federal de São Paulo - Brasil
Total Affiliations: 4
Document type: Journal article
Source: TEMA (São Carlos); v. 21, n. 1, p. 57-63, 2020-04-30.
Abstract

ABSTRACT In this work, we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2;3;4;5;6;8 and 12, which are rotated versions of the lattices Λ n , for n = 2 , 3 , 4 , 5 , 6 , 8 and K 12. These algebraic lattices are constructed through canonical homomorphism via ℤ-modules of the ring of algebraic integers of a number field. (AU)

FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
Grantee:Marcelo Firer
Support Opportunities: Research Projects - Thematic Grants