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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/22134
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dc.contributor.authorAndrade, A.A.-
dc.contributor.authorInterlando, J.C.-
dc.contributor.authorPalazzo Jr., R.-
dc.date.accessioned2014-05-20T14:02:50Z-
dc.date.available2014-05-20T14:02:50Z-
dc.date.issued2003-01-01-
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.issn1807-0302-
dc.identifier.urihttp://hdl.handle.net/11449/22134-
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.format.extent233-247-
dc.language.isoeng-
dc.publisherSociedade Brasileira de Matemática Aplicada e Computacional-
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.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)-
dc.description.affiliationUnesp Ibilce Department of Mathematics-
dc.description.affiliationUnicamp Feec Department of Telematics-
dc.description.affiliationUnespUnesp Ibilce Department of Mathematics-
dc.identifier.doi10.1590/S0101-82052003000200005-
dc.identifier.scieloS1807-03022003000200005-
dc.rights.accessRightsAcesso aberto-
dc.identifier.fileS1807-03022003000200005.pdf-
dc.relation.ispartofComputational & Applied Mathematics-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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