Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )

Detalhes bibliográficos
Autor(a) principal: ANDRADE,A. A.
Data de Publicação: 2019
Outros Autores: INTERLANDO,J. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512019000300445
Resumo: ABSTRACT A method for constructing rotated ℤ n-lattices, with n a power of 2, based on totally real subfields of the cyclotomic field ℚ ( ζ 2 r ), where r ≥ 4is an integer, is presented. Lattices exhibiting full diversity in some dimensions n not previously addressed are obtained.
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spelling Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r ) latticescyclotomic fieldsmodulation designfading channelsminimum product distanceABSTRACT A method for constructing rotated ℤ n-lattices, with n a power of 2, based on totally real subfields of the cyclotomic field ℚ ( ζ 2 r ), where r ≥ 4is an integer, is presented. Lattices exhibiting full diversity in some dimensions n not previously addressed are obtained.Sociedade Brasileira de Matemática Aplicada e Computacional2019-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512019000300445TEMA (São Carlos) v.20 n.3 2019reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2019.020.03.0445info:eu-repo/semantics/openAccessANDRADE,A. A.INTERLANDO,J. C.eng2019-12-12T00:00:00Zoai:scielo:S2179-84512019000300445Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2019-12-12T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
title Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
spellingShingle Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
ANDRADE,A. A.
lattices
cyclotomic fields
modulation design
fading channels
minimum product distance
title_short Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
title_full Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
title_fullStr Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
title_full_unstemmed Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
title_sort Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
author ANDRADE,A. A.
author_facet ANDRADE,A. A.
INTERLANDO,J. C.
author_role author
author2 INTERLANDO,J. C.
author2_role author
dc.contributor.author.fl_str_mv ANDRADE,A. A.
INTERLANDO,J. C.
dc.subject.por.fl_str_mv lattices
cyclotomic fields
modulation design
fading channels
minimum product distance
topic lattices
cyclotomic fields
modulation design
fading channels
minimum product distance
description ABSTRACT A method for constructing rotated ℤ n-lattices, with n a power of 2, based on totally real subfields of the cyclotomic field ℚ ( ζ 2 r ), where r ≥ 4is an integer, is presented. Lattices exhibiting full diversity in some dimensions n not previously addressed are obtained.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512019000300445
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512019000300445
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/tema.2019.020.03.0445
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv TEMA (São Carlos) v.20 n.3 2019
reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
instname:Sociedade Brasileira de Matemática Aplicada e Computacional
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reponame_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
collection TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository.name.fl_str_mv TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional
repository.mail.fl_str_mv castelo@icmc.usp.br
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