Publicação: Lattices from maximal orders into quaternion algebras
dc.contributor.author | Alves, C. [UNESP] | |
dc.contributor.author | Belfiore, J. -C. | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | TELECOM Paris Tech | |
dc.date.accessioned | 2015-10-21T20:17:55Z | |
dc.date.available | 2015-10-21T20:17:55Z | |
dc.date.issued | 2015-04-01 | |
dc.description.abstract | We 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.affiliation | Universidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas (IGCE), Departamento de Matemática, BR-13506900 Rio Claro, SP, Brasil | |
dc.description.affiliation | TELECOM Paris Tech, Department of Communications and Electronics, F-75013 Paris, France | |
dc.description.affiliationUnesp | Universidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas (IGCE), Departamento de Matemática, BR-13506900 Rio Claro, SP, Brasil | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorshipId | FAPESP: 2011/12657-9 | |
dc.format.extent | 687-702 | |
dc.identifier | http://www.sciencedirect.com/science/article/pii/S0022404914000942 | |
dc.identifier.citation | Journal Of Pure And Applied Algebra. Amsterdam: Elsevier Science Bv, v. 219, n. 4, p. 687-702, 2015. | |
dc.identifier.doi | 10.1016/j.jpaa.2014.04.025 | |
dc.identifier.issn | 0022-4049 | |
dc.identifier.uri | http://hdl.handle.net/11449/129063 | |
dc.identifier.wos | WOS:000347493600001 | |
dc.language.iso | eng | |
dc.publisher | Elsevier B.V. | |
dc.relation.ispartof | Journal Of Pure And Applied Algebra | |
dc.relation.ispartofjcr | 0.720 | |
dc.relation.ispartofsjr | 1,269 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Web of Science | |
dc.title | Lattices from maximal orders into quaternion algebras | en |
dc.type | Artigo | |
dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
dcterms.rightsHolder | Elsevier B.V. | |
dspace.entity.type | Publication | |
unesp.author.lattes | 7045870107955099[1] | |
unesp.author.orcid | 0000-0002-3555-392X[1] | |
unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claro | pt |
unesp.department | Matemática - IGCE | pt |