E8-lattice via the cyclotomic field Q(ξ24)

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.contributorTélécom ParisTech-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorTrinca Watanabe, C. C.-
Autor(es): dc.creatorBelfiore, J. C.-
Autor(es): dc.creatorDe Carvalho, E. D. [UNESP]-
Autor(es): dc.creatorVieira Filho, J. [UNESP]-
Data de aceite: dc.date.accessioned2022-08-04T22:06:59Z-
Data de disponibilização: dc.date.available2022-08-04T22:06:59Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2018-01-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.12732/ijam.v31i1.6-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/221020-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/221020-
Descrição: dc.descriptionLattices can be applied in different areas of research, particularly, they can be applied in information theory and encryption schemes. Signal constellations having lattice structure have been used as a support for signal transmission over the Gaussian and Rayleigh fading channels. The problem to find a good signal constellation for Gaussian channels is associated to the search of lattices which present a good packing density, that is, dense lattices. In this way, we propose an algebraic framework to construct the dense lattice E8 from the principal ideal I = ((1 + ξ3) + ξ3ξ24 + ξ3ξ24 2) of the cyclotomic field Q(ξ24), where ξ3 and ξ24 are the third and 24-th root of unity, respectively. The advantage of obtaining lattices from this method is the identification of the lattice points with the elements of a number field. Consequently, it is possible to utilize some properties of number fields in the study of such lattices.-
Descrição: dc.descriptionDepartment of Communications (DECOM) Campinas State University-
Descrição: dc.descriptionDepartment of Communications and Electronics Télécom ParisTech-
Descrição: dc.descriptionDepartment of Mathematics São Paulo State University-
Descrição: dc.descriptionTelecommunications Engineering São Paulo State University-
Descrição: dc.descriptionDepartment of Mathematics São Paulo State University-
Descrição: dc.descriptionTelecommunications Engineering São Paulo State University-
Formato: dc.format63-72-
Idioma: dc.languageen-
Relação: dc.relationInternational Journal of Applied Mathematics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectCyclotomic field-
Palavras-chave: dc.subjectDense lattice-
Palavras-chave: dc.subjectE8-lattice-
Palavras-chave: dc.subjectPrincipal ideal-
Título: dc.titleE8-lattice via the cyclotomic field Q(ξ24)-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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