Algebraic constructions of densest lattices
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Data
2015-05-01
Autores
Jorge, Grasiele C.
Andrade, Antonio Aparecido de [UNESP]
Costa, Sueli I. R.
Strapasson, Joao E.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
The aim of this paper is to investigate rotated versions of the densest known lattices in dimensions 2, 3, 4, 5, 6, 7, 8, 12 and 24 constructed via ideals and free Z-modules that are not ideals in subfields of cyclotomic fields. The focus is on totally real number fields and the associated full diversity lattices which may be suitable for signal transmission over both Gaussian and Rayleigh fading channels. We also discuss on the existence of a number field K such that it is possible to obtain the lattices A(2), E-6 and E-7 via a twisted embedding applied to a fractional ideal of O-K. (C) 2015 Elsevier Inc. All rights reserved.
Descrição
Palavras-chave
Algebraic number theory, Lattices, Packing density, Diversity, Minimum product distance, Coding theory
Como citar
Journal Of Algebra. San Diego: Academic Press Inc Elsevier Science, v. 429, p. 218-235, 2015.