Constructions of dense lattices over number fields

dc.creator	Andrade, Antonio A.
dc.creator	Ferrari, Agnaldo J.
dc.creator	Interlando, José C.
dc.creator	Araujo, Robson R.
dc.date.accessioned	2020-08-10T15:57:18Z
dc.date.available	2020-08-10T15:57:18Z
dc.date.issued	2020
dc.description.abstract	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	pt_BR
dc.identifier.citation	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.	pt_BR
dc.identifier.uri	https://repositorio.ufla.br/handle/1/42304
dc.language	en_US	pt_BR
dc.publisher	Sociedade Brasileira de Matemática e Estatística	pt_BR
dc.rights	Attribution 4.0 International	*
dc.rights	Attribution 4.0 International
dc.rights	acesso aberto	pt_BR
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.source	Tendências em Matemática Aplicada e Computacional	pt_BR
dc.subject	Algebric lattices,	pt_BR
dc.subject	Number fields	pt_BR
dc.subject	Sphere packings	pt_BR
dc.title	Constructions of dense lattices over number fields	pt_BR
dc.type	Artigo	pt_BR

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