Constructions of rotated lattice constellations in dimensions power of 3-Reference-Cited by-同舟云学术

Constructions of rotated lattice constellations in dimensions power of 3

Published:2018-08-23 Issue:09 Volume:17 Page:1850175
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Ferrari Agnaldo José¹,de Andrade Antonio Aparecido²

Affiliation:

1. São Paulo State University (Unesp), School of Sciences, Bauru, SP, Brazil

2. Department of Mathematics, São Paulo State University (Unesp), São José do Rio Preto, SP, Brazil

Abstract

In this paper, we present the constructions of rotated [Formula: see text]-lattices, where [Formula: see text] is a positive integer, via [Formula: see text]-modules of the ring of the integers [Formula: see text]. Our focus is on totally real number fields since the associated lattices have full diversity and then may be suitable for signal transmission over both Gaussian and Rayleigh fading channels. Lower bounds for the minimum product distances of such construction are also presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881850175X

Reference23 articles.

1. Constructions of algebraic lattices

2. Constructions of Ideal Lattices with Full Diversity

3. Algebraic techniques for nonlinear codes

4. Lattices and number fields

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