Jorge, Grasiele C.Andrade, Antonio Aparecido de [UNESP]Costa, Sueli I. R.Strapasson, Joao E.2015-10-222015-10-222015-05-01Journal Of Algebra. San Diego: Academic Press Inc Elsevier Science, v. 429, p. 218-235, 2015.0021-8693http://hdl.handle.net/11449/129764The 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.218-235engAlgebraic number theoryLatticesPacking densityDiversityMinimum product distanceCoding theoryArtigo10.1016/j.jalgebra.2014.12.044WOS:000352183600009Acesso restrito8940498347481982