Constructions of dense lattices over number fields

Detalhes bibliográficos
Autor(a) principal: Andrade, Antonio A.
Data de Publicação: 2020
Outros Autores: Ferrari, Agnaldo J., Interlando, José C., Araujo, Robson R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFLA
Texto Completo: http://repositorio.ufla.br/jspui/handle/1/42304
Resumo: In this work, we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2,3,4,5,6,8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,5,6,8 and K12. These algebraic lattices are constructed through canonical homomorphism via Zmodules of the ring of algebraic integers of a number field
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spelling Constructions of dense lattices over number fieldsAlgebric lattices,Number fieldsSphere packingsIn this work, we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2,3,4,5,6,8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,5,6,8 and K12. These algebraic lattices are constructed through canonical homomorphism via Zmodules of the ring of algebraic integers of a number fieldSociedade Brasileira de Matemática e Estatística2020-08-10T15:57:18Z2020-08-10T15:57:18Z2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfANDRADE, A. A. et al. Constructions of dense lattices over number fields. Tendências em Matemática Aplicada e Computacional, São Carlos, v. 21, n. 1, p. 57-63, 2020.http://repositorio.ufla.br/jspui/handle/1/42304Tendências em Matemática Aplicada e Computacionalreponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessAndrade, Antonio A.Ferrari, Agnaldo J.Interlando, José C.Araujo, Robson R.eng2023-05-26T19:43:48Zoai:localhost:1/42304Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2023-05-26T19:43:48Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false
dc.title.none.fl_str_mv Constructions of dense lattices over number fields
title Constructions of dense lattices over number fields
spellingShingle Constructions of dense lattices over number fields
Andrade, Antonio A.
Algebric lattices,
Number fields
Sphere packings
title_short Constructions of dense lattices over number fields
title_full Constructions of dense lattices over number fields
title_fullStr Constructions of dense lattices over number fields
title_full_unstemmed Constructions of dense lattices over number fields
title_sort Constructions of dense lattices over number fields
author Andrade, Antonio A.
author_facet Andrade, Antonio A.
Ferrari, Agnaldo J.
Interlando, José C.
Araujo, Robson R.
author_role author
author2 Ferrari, Agnaldo J.
Interlando, José C.
Araujo, Robson R.
author2_role author
author
author
dc.contributor.author.fl_str_mv Andrade, Antonio A.
Ferrari, Agnaldo J.
Interlando, José C.
Araujo, Robson R.
dc.subject.por.fl_str_mv Algebric lattices,
Number fields
Sphere packings
topic Algebric lattices,
Number fields
Sphere packings
description In this work, we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2,3,4,5,6,8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,5,6,8 and K12. These algebraic lattices are constructed through canonical homomorphism via Zmodules of the ring of algebraic integers of a number field
publishDate 2020
dc.date.none.fl_str_mv 2020-08-10T15:57:18Z
2020-08-10T15:57:18Z
2020
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 ANDRADE, A. A. et al. Constructions of dense lattices over number fields. Tendências em Matemática Aplicada e Computacional, São Carlos, v. 21, n. 1, p. 57-63, 2020.
http://repositorio.ufla.br/jspui/handle/1/42304
identifier_str_mv ANDRADE, A. A. et al. Constructions of dense lattices over number fields. Tendências em Matemática Aplicada e Computacional, São Carlos, v. 21, n. 1, p. 57-63, 2020.
url http://repositorio.ufla.br/jspui/handle/1/42304
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática e Estatística
publisher.none.fl_str_mv Sociedade Brasileira de Matemática e Estatística
dc.source.none.fl_str_mv Tendências em Matemática Aplicada e Computacional
reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
repository.name.fl_str_mv Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)
repository.mail.fl_str_mv nivaldo@ufla.br || repositorio.biblioteca@ufla.br
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