Algebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall lattices

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.creatorStrapasson, João Eloir-
Autor(es): dc.creatorFerrari, Agnaldo José [UNESP]-
Autor(es): dc.creatorJorge, Grasiele Cristiane-
Autor(es): dc.creatorCosta, Sueli Irene Rodrigues-
Data de aceite: dc.date.accessioned2022-02-22T00:24:45Z-
Data de disponibilização: dc.date.available2022-02-22T00:24:45Z-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2019-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1142/S0219498821500298-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/198518-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/198518-
Descrição: dc.descriptionIn 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 azeta&2rq + ;zeta&2rq-1] for q = 3, 5 and 15. We also construct rotated BW16 and BW32-lattices via a;-submodules of azeta&2r15 + ;zeta&2r15-1]. 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.-
Descrição: dc.descriptionSchool of Applied Sciences University of Campinas-
Descrição: dc.descriptionSchool of Sciences São Paulo State University (UNESP)-
Descrição: dc.descriptionInstitute of Science and Technology Federal University of São Paulo São José Dos Campos-
Descrição: dc.descriptionInstitute of Mathematics Statistics and Scientific Computing University of Campinas-
Descrição: dc.descriptionSchool of Sciences São Paulo State University (UNESP)-
Idioma: dc.languageen-
Relação: dc.relationJournal of Algebra and its Applications-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectBarnes-Wall lattices-
Palavras-chave: dc.subjectcyclotomic fields-
Palavras-chave: dc.subjectminimum product distance-
Palavras-chave: dc.subjectUnimodular lattices-
Título: dc.titleAlgebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall lattices-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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