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

Detalhes bibliográficos
Autor(a) principal: Interlando, J. Carmelo
Data de Publicação: 2017
Outros Autores: Neto, Trajano Pires da Nóbrega [UNESP], Nunes, José Valter Lopes, Lopes, José Othon Dantas
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.12732/ijam.v30i5.4
http://hdl.handle.net/11449/232687
Resumo: Four-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.
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spelling Four-dimensional lattices from ℚ(√2,√5)LatticesMinimum product distanceModulationNumber fieldsSphere packingsFour-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.Department of Mathematics and Statistics San Diego State UniversityDepartment of Mathematics São Paulo State UniversityDepartment of Mathematics Federal University of Ceará FortalezaDepartment of Mathematics São Paulo State UniversitySan Diego State UniversityUniversidade Estadual Paulista (UNESP)Federal University of Ceará FortalezaInterlando, J. CarmeloNeto, Trajano Pires da Nóbrega [UNESP]Nunes, José Valter LopesLopes, José Othon Dantas2022-04-30T04:22:58Z2022-04-30T04:22:58Z2017-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article401-408http://dx.doi.org/10.12732/ijam.v30i5.4International Journal of Applied Mathematics, v. 30, n. 5, p. 401-408, 2017.1314-80601311-1728http://hdl.handle.net/11449/23268710.12732/ijam.v30i5.42-s2.0-85037161858Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Applied Mathematicsinfo:eu-repo/semantics/openAccess2022-04-30T04:22:58Zoai:repositorio.unesp.br:11449/232687Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-30T04:22:58Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Four-dimensional lattices from ℚ(√2,√5)
title Four-dimensional lattices from ℚ(√2,√5)
spellingShingle Four-dimensional lattices from ℚ(√2,√5)
Interlando, J. Carmelo
Lattices
Minimum product distance
Modulation
Number fields
Sphere packings
title_short Four-dimensional lattices from ℚ(√2,√5)
title_full Four-dimensional lattices from ℚ(√2,√5)
title_fullStr Four-dimensional lattices from ℚ(√2,√5)
title_full_unstemmed Four-dimensional lattices from ℚ(√2,√5)
title_sort Four-dimensional lattices from ℚ(√2,√5)
author Interlando, J. Carmelo
author_facet Interlando, J. Carmelo
Neto, Trajano Pires da Nóbrega [UNESP]
Nunes, José Valter Lopes
Lopes, José Othon Dantas
author_role author
author2 Neto, Trajano Pires da Nóbrega [UNESP]
Nunes, José Valter Lopes
Lopes, José Othon Dantas
author2_role author
author
author
dc.contributor.none.fl_str_mv San Diego State University
Universidade Estadual Paulista (UNESP)
Federal University of Ceará Fortaleza
dc.contributor.author.fl_str_mv Interlando, J. Carmelo
Neto, Trajano Pires da Nóbrega [UNESP]
Nunes, José Valter Lopes
Lopes, José Othon Dantas
dc.subject.por.fl_str_mv Lattices
Minimum product distance
Modulation
Number fields
Sphere packings
topic Lattices
Minimum product distance
Modulation
Number fields
Sphere packings
description Four-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.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01
2022-04-30T04:22:58Z
2022-04-30T04:22:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.12732/ijam.v30i5.4
International Journal of Applied Mathematics, v. 30, n. 5, p. 401-408, 2017.
1314-8060
1311-1728
http://hdl.handle.net/11449/232687
10.12732/ijam.v30i5.4
2-s2.0-85037161858
url http://dx.doi.org/10.12732/ijam.v30i5.4
http://hdl.handle.net/11449/232687
identifier_str_mv International Journal of Applied Mathematics, v. 30, n. 5, p. 401-408, 2017.
1314-8060
1311-1728
10.12732/ijam.v30i5.4
2-s2.0-85037161858
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 401-408
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965339056865280

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