Grõbner bases and minimum distance of affine varieties codes

Detalhes bibliográficos
Autor(a) principal: Carvalho,C.
Data de Publicação: 2012
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=S2179-84512012000300006
Resumo: We present a method to estimate the minimum distance of affine varieties codes. Our technique uses properties of the footprint of an ideal obtained by enlarging the defining ideal of the variety, and may be applied also to codes which do not come from the so-called weight domains.
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spelling Grõbner bases and minimum distance of affine varieties codesAffine varieties codesGrõbner basesfootprint of an idealminimum distanceWe present a method to estimate the minimum distance of affine varieties codes. Our technique uses properties of the footprint of an ideal obtained by enlarging the defining ideal of the variety, and may be applied also to codes which do not come from the so-called weight domains.Sociedade Brasileira de Matemática Aplicada e Computacional2012-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512012000300006TEMA (São Carlos) v.13 n.3 2012reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/TEMA.2012.013.03.257info:eu-repo/semantics/openAccessCarvalho,C.eng2013-01-21T00:00:00Zoai:scielo:S2179-84512012000300006Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2013-01-21T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv Grõbner bases and minimum distance of affine varieties codes
title Grõbner bases and minimum distance of affine varieties codes
spellingShingle Grõbner bases and minimum distance of affine varieties codes
Carvalho,C.
Affine varieties codes
Grõbner bases
footprint of an ideal
minimum distance
title_short Grõbner bases and minimum distance of affine varieties codes
title_full Grõbner bases and minimum distance of affine varieties codes
title_fullStr Grõbner bases and minimum distance of affine varieties codes
title_full_unstemmed Grõbner bases and minimum distance of affine varieties codes
title_sort Grõbner bases and minimum distance of affine varieties codes
author Carvalho,C.
author_facet Carvalho,C.
author_role author
dc.contributor.author.fl_str_mv Carvalho,C.
dc.subject.por.fl_str_mv Affine varieties codes
Grõbner bases
footprint of an ideal
minimum distance
topic Affine varieties codes
Grõbner bases
footprint of an ideal
minimum distance
description We present a method to estimate the minimum distance of affine varieties codes. Our technique uses properties of the footprint of an ideal obtained by enlarging the defining ideal of the variety, and may be applied also to codes which do not come from the so-called weight domains.
publishDate 2012
dc.date.none.fl_str_mv 2012-12-01
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=S2179-84512012000300006
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512012000300006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/TEMA.2012.013.03.257
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.13 n.3 2012
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
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