New p-dimensional lattices from cyclic extensions-Reference-Cited by-同舟云学术

New p-dimensional lattices from cyclic extensions

Published:2017-09-20 Issue:10 Volume:16 Page:1750186
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Nunes José Valter Lopes¹,Interlando J. Carmelo²,Neto Trajano Pires da Nóbrega³,Lopes José Othon Dantas¹

Affiliation:

1. Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, CE, Brazil

2. Department of Mathematics and Statistics, San Diego State University, San Diego, CA, USA

3. Departamento de Matemática, Universidade Estadual Paulista, São José do Rio Preto, SP, Brazil

Abstract

In this work, [Formula: see text]-dimensional point-lattices are constructed from a number field [Formula: see text], where [Formula: see text] is a cyclic extension of degree [Formula: see text], an odd unramified prime in [Formula: see text]. Families of lattices whose packing densities asymptotically approach those of [Formula: see text], [Formula: see text], are explicitly exhibited.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817501869

Reference6 articles.

1. A Survey of Trace Forms of Algebraic Number Fields

2. Sphere Packings, Lattices and Groups

3. A new number field construction of the lattice E 8

4. Elementary and Analytic Theory of Algebraic Numbers

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