Rotated dn-lattices in dimensions power of 3

Detalhes bibliográficos
Autor(a) principal: Ferrari, Agnaldo J. [UNESP]
Data de Publicação: 2021
Outros Autores: Jorge, Grasiele C., de Andrade, Antonio A. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.13069/jacodesmath.1000778
http://hdl.handle.net/11449/222555
Resumo: In this work, we present constructions of families of rotated Dn-lattices which may be good for signal transmission over both Gaussian and Rayleigh fading channels. The lattices are obtained as sublattices of a family of rotated Z ⊕ Ak2 lattices, where Ak2 is a direct sum of k =3r−1−1 copies of 2 the A2-lattice, using free Z-modules in Z[ζ3r + ζ−1 3r]..
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spelling Rotated dn-lattices in dimensions power of 3Cyclotomic fieldsLatticesSignal transmissionIn this work, we present constructions of families of rotated Dn-lattices which may be good for signal transmission over both Gaussian and Rayleigh fading channels. The lattices are obtained as sublattices of a family of rotated Z ⊕ Ak2 lattices, where Ak2 is a direct sum of k =3r−1−1 copies of 2 the A2-lattice, using free Z-modules in Z[ζ3r + ζ−1 3r]..Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Department of Mathematics São Paulo State UniversityInstitute of Science and Technology Federal University of São PauloDepartment of Mathematics São Paulo State UniversityFAPESP: 2013/25977-7CNPq: 429346/2018-2CNPq: 432735/2016-0Universidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Ferrari, Agnaldo J. [UNESP]Jorge, Grasiele C.de Andrade, Antonio A. [UNESP]2022-04-28T19:45:23Z2022-04-28T19:45:23Z2021-09-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article151-160http://dx.doi.org/10.13069/jacodesmath.1000778Journal of Algebra Combinatorics Discrete Structures and Applications, v. 8, n. 3, p. 151-160, 2021.2148-838Xhttp://hdl.handle.net/11449/22255510.13069/jacodesmath.10007782-s2.0-85116347299Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Algebra Combinatorics Discrete Structures and Applicationsinfo:eu-repo/semantics/openAccess2022-04-28T19:45:23Zoai:repositorio.unesp.br:11449/222555Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462022-04-28T19:45:23Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Rotated dn-lattices in dimensions power of 3
title Rotated dn-lattices in dimensions power of 3
spellingShingle Rotated dn-lattices in dimensions power of 3
Ferrari, Agnaldo J. [UNESP]
Cyclotomic fields
Lattices
Signal transmission
title_short Rotated dn-lattices in dimensions power of 3
title_full Rotated dn-lattices in dimensions power of 3
title_fullStr Rotated dn-lattices in dimensions power of 3
title_full_unstemmed Rotated dn-lattices in dimensions power of 3
title_sort Rotated dn-lattices in dimensions power of 3
author Ferrari, Agnaldo J. [UNESP]
author_facet Ferrari, Agnaldo J. [UNESP]
Jorge, Grasiele C.
de Andrade, Antonio A. [UNESP]
author_role author
author2 Jorge, Grasiele C.
de Andrade, Antonio A. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Ferrari, Agnaldo J. [UNESP]
Jorge, Grasiele C.
de Andrade, Antonio A. [UNESP]
dc.subject.por.fl_str_mv Cyclotomic fields
Lattices
Signal transmission
topic Cyclotomic fields
Lattices
Signal transmission
description In this work, we present constructions of families of rotated Dn-lattices which may be good for signal transmission over both Gaussian and Rayleigh fading channels. The lattices are obtained as sublattices of a family of rotated Z ⊕ Ak2 lattices, where Ak2 is a direct sum of k =3r−1−1 copies of 2 the A2-lattice, using free Z-modules in Z[ζ3r + ζ−1 3r]..
publishDate 2021
dc.date.none.fl_str_mv 2021-09-15
2022-04-28T19:45:23Z
2022-04-28T19:45:23Z
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/10.13069/jacodesmath.1000778
Journal of Algebra Combinatorics Discrete Structures and Applications, v. 8, n. 3, p. 151-160, 2021.
2148-838X
http://hdl.handle.net/11449/222555
10.13069/jacodesmath.1000778
2-s2.0-85116347299
url http://dx.doi.org/10.13069/jacodesmath.1000778
http://hdl.handle.net/11449/222555
identifier_str_mv Journal of Algebra Combinatorics Discrete Structures and Applications, v. 8, n. 3, p. 151-160, 2021.
2148-838X
10.13069/jacodesmath.1000778
2-s2.0-85116347299
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Algebra Combinatorics Discrete Structures and Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 151-160
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 repositoriounesp@unesp.br
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