Publicação:
Lattices from maximal orders into quaternion algebras

dc.contributor.authorAlves, C. [UNESP]
dc.contributor.authorBelfiore, J. -C.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionTELECOM Paris Tech
dc.date.accessioned2015-10-21T20:17:55Z
dc.date.available2015-10-21T20:17:55Z
dc.date.issued2015-04-01
dc.description.abstractWe propose an algebraic framework to construct dense lattices from maximal orders of a quaternion algebra whose center is an imaginary quadratic field. This work extends [21] where a method called algebraic reduction has been proposed to efficiently decode the Golden code [14]. In particular, we propose four new constructions of E-8 lattice from left ideals of maximal orders of some quaternion algebras with centers Q(root-d), d = 1,2,3,7. (C) 2014 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas (IGCE), Departamento de Matemática, BR-13506900 Rio Claro, SP, Brasil
dc.description.affiliationTELECOM Paris Tech, Department of Communications and Electronics, F-75013 Paris, France
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas (IGCE), Departamento de Matemática, BR-13506900 Rio Claro, SP, Brasil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 2011/12657-9
dc.format.extent687-702
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0022404914000942
dc.identifier.citationJournal Of Pure And Applied Algebra. Amsterdam: Elsevier Science Bv, v. 219, n. 4, p. 687-702, 2015.
dc.identifier.doi10.1016/j.jpaa.2014.04.025
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/11449/129063
dc.identifier.wosWOS:000347493600001
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal Of Pure And Applied Algebra
dc.relation.ispartofjcr0.720
dc.relation.ispartofsjr1,269
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleLattices from maximal orders into quaternion algebrasen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.author.lattes7045870107955099[1]
unesp.author.orcid0000-0002-3555-392X[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentMatemática - IGCEpt

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