Encoding through generalized polynomial codes

Detalhes bibliográficos
Autor(a) principal: Shah,T.
Data de Publicação: 2011
Outros Autores: Khan,A., Andrade,A. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200006
Resumo: This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1].
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spelling Encoding through generalized polynomial codessemigroup ringcyclic codeBCH codealternant codeGoppa codeSrivastava codeThis paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1].Sociedade Brasileira de Matemática Aplicada e Computacional2011-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200006Computational & Applied Mathematics v.30 n.2 2011reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022011000200006info:eu-repo/semantics/openAccessShah,T.Khan,A.Andrade,A. A.eng2011-07-27T00:00:00Zoai:scielo:S1807-03022011000200006Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2011-07-27T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Encoding through generalized polynomial codes
title Encoding through generalized polynomial codes
spellingShingle Encoding through generalized polynomial codes
Shah,T.
semigroup ring
cyclic code
BCH code
alternant code
Goppa code
Srivastava code
title_short Encoding through generalized polynomial codes
title_full Encoding through generalized polynomial codes
title_fullStr Encoding through generalized polynomial codes
title_full_unstemmed Encoding through generalized polynomial codes
title_sort Encoding through generalized polynomial codes
author Shah,T.
author_facet Shah,T.
Khan,A.
Andrade,A. A.
author_role author
author2 Khan,A.
Andrade,A. A.
author2_role author
author
dc.contributor.author.fl_str_mv Shah,T.
Khan,A.
Andrade,A. A.
dc.subject.por.fl_str_mv semigroup ring
cyclic code
BCH code
alternant code
Goppa code
Srivastava code
topic semigroup ring
cyclic code
BCH code
alternant code
Goppa code
Srivastava code
description This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1].
publishDate 2011
dc.date.none.fl_str_mv 2011-01-01
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=S1807-03022011000200006
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022011000200006
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 Computational & Applied Mathematics v.30 n.2 2011
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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