Alternant and BCH codes over certain rings

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dc.contributor.authorAndrade, A.A. [UNESP]
dc.contributor.authorInterlando, J.C. [UNESP]
dc.contributor.authorPalazzo Jr., R.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T14:02:50Z
dc.date.available2014-05-20T14:02:50Z
dc.date.issued2003-01-01
dc.description.abstractAlternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x s - 1 over the unit group of an appropriate extension of the finite ring. An efficient decoding procedure which makes use of the modified Berlekamp-Massey algorithm to correct errors and erasures is presented. Furthermore, we address the construction of BCH codes over Zm under Lee metric.en
dc.description.affiliationUnesp Ibilce Department of Mathematics
dc.description.affiliationUnicamp Feec Department of Telematics
dc.description.affiliationUnespUnesp Ibilce Department of Mathematics
dc.format.extent233-247
dc.identifierhttp://dx.doi.org/10.1590/S0101-82052003000200005
dc.identifier.citationComputational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 22, n. 2, p. 233-247, 2003.
dc.identifier.doi10.1590/S0101-82052003000200005
dc.identifier.fileS1807-03022003000200005.pdf
dc.identifier.issn1807-0302
dc.identifier.lattes8940498347481982
dc.identifier.scieloS1807-03022003000200005
dc.identifier.urihttp://hdl.handle.net/11449/22134
dc.language.isoeng
dc.publisherSociedade Brasileira de Matemática Aplicada e Computacional
dc.relation.ispartofComputational & Applied Mathematics
dc.rights.accessRightsAcesso aberto
dc.sourceSciELO
dc.subjectcodes over ringsen
dc.subjectAlternant codeen
dc.subjectBCH codesen
dc.subjectGalois extensions of local commutative ringsen
dc.subjectalgebraic decodingen
dc.subjectmodified Berlekamp-Massey algorithmen
dc.subjecterrors and erasures decodingen
dc.subjectLee metricen
dc.titleAlternant and BCH codes over certain ringsen
dc.typeArtigo
unesp.author.lattes8940498347481982
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas