Hamming and Reed-Solomon codes over certain rings

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dc.contributor.authorAndrade, A. A. [UNESP]
dc.contributor.authorPalazzo, R.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T15:22:46Z
dc.date.available2014-05-20T15:22:46Z
dc.date.issued2001-01-01
dc.description.abstractIn this work we present extensions of constructions of Hamming and Reed-Solomon codes over local finite commutative rings with identity obtained from algebraic integer rings of a number field. Also, we present efficient decoding procedures for these codes. The decoding procedure of Reed-Solomon codes is based on the modified Berlekamp-Massey algorithm.en
dc.description.affiliationUNESP, IBMCE, Dept Math, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, FEEC, Dept Telemat, BR-13081970 Campinas, SP, Brazil
dc.description.affiliationUnespUNESP, IBMCE, Dept Math, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 95/4720-8
dc.format.extent289-306
dc.identifierhttp://books.google.com.br/books?id=HkcEzM3QN9IC&lpg=PA265&hl=pt-BR&pg=PA265#v=onepage&q&f=false
dc.identifier.citationComputational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 20, n. 3, p. 289-306, 2001.
dc.identifier.issn1807-0302
dc.identifier.lattes8940498347481982
dc.identifier.urihttp://hdl.handle.net/11449/33690
dc.identifier.wosWOS:000208766400002
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofComputational & Applied Mathematics
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectHamming codept
dc.subjectReed-Solomon codept
dc.subjectmodified Berlekamp-Massey algorithmpt
dc.subjectsyndrome calculationpt
dc.subjecterror-location numberpt
dc.subjectForney's methodpt
dc.titleHamming and Reed-Solomon codes over certain ringsen
dc.typeArtigo
dcterms.licensehttp://www.scielo.br/revistas/cam/iaboutj.htm
dcterms.rightsHolderSpringer
unesp.author.lattes8940498347481982[1]
unesp.author.orcid0000-0001-6452-2236[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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Artigos - Matemática - IBILCE