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Four-dimensional lattices from ℚ(√2,√5)

dc.contributor.authorInterlando, J. Carmelo
dc.contributor.authorNeto, Trajano Pires da Nóbrega [UNESP]
dc.contributor.authorNunes, José Valter Lopes
dc.contributor.authorLopes, José Othon Dantas
dc.contributor.institutionSan Diego State University
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionFederal University of Ceará Fortaleza
dc.date.accessioned2022-04-30T04:22:58Z
dc.date.available2022-04-30T04:22:58Z
dc.date.issued2017-01-01
dc.description.abstractFour-dimensional lattices with block circulant generator matrices are constructed from submodules of the ring of integers of the totally real number field ℚ(√2,√5). The obtained lattices are of full diversity and their sphere packing densities are the highest known for the given relative minimum product distances.en
dc.description.affiliationDepartment of Mathematics and Statistics San Diego State University
dc.description.affiliationDepartment of Mathematics São Paulo State University
dc.description.affiliationDepartment of Mathematics Federal University of Ceará Fortaleza
dc.description.affiliationUnespDepartment of Mathematics São Paulo State University
dc.format.extent401-408
dc.identifierhttp://dx.doi.org/10.12732/ijam.v30i5.4
dc.identifier.citationInternational Journal of Applied Mathematics, v. 30, n. 5, p. 401-408, 2017.
dc.identifier.doi10.12732/ijam.v30i5.4
dc.identifier.issn1314-8060
dc.identifier.issn1311-1728
dc.identifier.scopus2-s2.0-85037161858
dc.identifier.urihttp://hdl.handle.net/11449/232687
dc.language.isoeng
dc.relation.ispartofInternational Journal of Applied Mathematics
dc.sourceScopus
dc.subjectLattices
dc.subjectMinimum product distance
dc.subjectModulation
dc.subjectNumber fields
dc.subjectSphere packings
dc.titleFour-dimensional lattices from ℚ(√2,√5)en
dc.typeArtigo
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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