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dc.creatorStrapasson, João Eloir-
dc.creatorFerrari, Agnaldo José-
dc.creatorJorge, Grasiele Cristiane-
dc.creatorCosta, Sueli Irene Rodrigues-
dc.date.accessioned2020-08-10T14:03:00Z-
dc.date.available2020-08-10T14:03:00Z-
dc.date.issued2021-
dc.identifier.citationSTRAPASSON, J. E. et al. Algebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall lattices. Journal of Algebra and Its Applications, [S.l.], 2021.pt_BR
dc.identifier.urihttps://www.worldscientific.com/doi/10.1142/S0219498821500298pt_BR
dc.identifier.urihttp://repositorio.ufla.br/jspui/handle/1/42303-
dc.description.abstractIn this paper, we construct some families of rotated unimodular lattices and rotated direct sum of Barnes–Wall lattices BWn for n=4,8 and 16 via ideals of the ring of the integers Z[ζ2rq+ζ−12rq] for q=3,5 and 15. We also construct rotated BW16 and BW32-lattices via Z-submodules of Z[ζ2r15+ζ−12r15]. 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. The minimum product distances of such constructions are also presented here.pt_BR
dc.languageen_USpt_BR
dc.publisherWorld Scientificpt_BR
dc.rightsrestrictAccesspt_BR
dc.sourceJournal of Algebra and Its Applicationspt_BR
dc.subjectUnimodular latticespt_BR
dc.subjectBarnes-Wall latticespt_BR
dc.subjectCyclotomic fieldspt_BR
dc.subjectMinimum product distancept_BR
dc.titleAlgebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall latticespt_BR
dc.typeArtigopt_BR
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