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Goppa codes through polynomials of B[X;(1/2^2)Z_0] and its decoding principle

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dc.contributor.authorAndrade, Antonio Aparecido de [UNESP]
dc.contributor.authorShah, Tariq
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2015-04-27T11:55:57Z
dc.date.available2015-04-27T11:55:57Z
dc.date.issued2011
dc.description.abstractIn this paper, we present a decoding principle for Goppa codes constructed by generalized polynomials, which is based on modified Berlekamp-Massey algorithm. This algorithm corrects all errors up to the Hamming weight $t\leq 2r$, i.e., whose minimum Hamming distance is $2^{2}r+1$.en
dc.description.affiliationUniversidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Biociencias, Letras e Ciencias Exatas de Sao Jose do Rio Preto, Sao Jose do Rio Preto, RUA CRISTOVAO COLOMBO 2265 - DEPARTAMENTO DE MATEMATICA, JARDIM NAZARETH, CEP 15054-000, SP, Brasil
dc.description.affiliationUnespUniversidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Biociencias, Letras e Ciencias Exatas de Sao Jose do Rio Preto, Sao Jose do Rio Preto, RUA CRISTOVAO COLOMBO 2265 - DEPARTAMENTO DE MATEMATICA, JARDIM NAZARETH, CEP 15054-000, SP, Brasil
dc.format.extent12-20
dc.identifierhttp://www.i-asr.com/Journals/jaram/ArticleDetail.aspx?PaperID=839
dc.identifier.citationJournal of Advanced Research in Applied Mathematics, v. 3, n. 4, p. 12-20, 2011.
dc.identifier.doi10.5373/jaram.839.031611
dc.identifier.issn1942-9649
dc.identifier.lattes8940498347481982
dc.identifier.urihttp://hdl.handle.net/11449/122686
dc.language.isoeng
dc.relation.ispartofJournal of Advanced Research in Applied Mathematics
dc.rights.accessRightsAcesso restrito
dc.sourceCurrículo Lattes
dc.subjectSemigroup ringsen
dc.subjectGoppa codesen
dc.subjectModified Berlekamp-Massey algorithmen
dc.titleGoppa codes through polynomials of B[X;(1/2^2)Z_0] and its decoding principleen
dc.typeArtigo
dspace.entity.typePublication
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
unesp.departmentMatemática - IBILCEpt

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