Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r )
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
Outros Autores: | |
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. |
id |
SBMAC-1_42fe7dcbd3ce8b75aaa9021e53725ca7 |
---|---|
oai_identifier_str |
oai:scielo:S2179-84512019000300445 |
network_acronym_str |
SBMAC-1 |
network_name_str |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
repository_id_str |
|
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 instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional |
instacron_str |
SBMAC |
institution |
SBMAC |
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 |
_version_ |
1752122220623167488 |