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Construction and decoding of BCH codes over finite commutative rings

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dc.contributor.authorDe Andrade, Antonio Aparecido [UNESP]
dc.contributor.authorPalazzo Jr., Reginaldo
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-27T11:19:41Z
dc.date.available2014-05-27T11:19:41Z
dc.date.issued1999-01-01
dc.description.abstractBCH codes over arbitrary finite commutative rings with identity are derived in terms of their locator vector. The derivation is based on the factorization of xs -1 over the unit ring of an appropriate extension of the finite ring. We present an efficient decoding procedure, based on the modified Berlekamp-Massey algorithm, for these codes. The code construction and the decoding procedures are very similar to the BCH codes over finite integer rings. © 1999 Elsevier B.V. All rights reserved.en
dc.description.affiliationDepartment of Mathematics Ibilce-Unesp, P.O. Box 136, 15054-000, Sao Jose do Rio Preto, SP
dc.description.affiliationDepartment of Telematics Feec-Unicamp, P.O. Box 6101, 13081-970, Campinas, SP
dc.description.affiliationUnespDepartment of Mathematics Ibilce-Unesp, P.O. Box 136, 15054-000, Sao Jose do Rio Preto, SP
dc.format.extent69-85
dc.identifierhttp://dx.doi.org/10.1016/S0024-3795(98)10163-5
dc.identifier.citationLinear Algebra and Its Applications, v. 286, n. 1-3, p. 69-85, 1999.
dc.identifier.doi10.1016/S0024-3795(98)10163-5
dc.identifier.file2-s2.0-0039627876.pdf
dc.identifier.issn0024-3795
dc.identifier.lattes8940498347481982
dc.identifier.scopus2-s2.0-0039627876
dc.identifier.urihttp://hdl.handle.net/11449/65680
dc.identifier.wosWOS:000077665300005
dc.language.isoeng
dc.relation.ispartofLinear Algebra and Its Applications
dc.relation.ispartofjcr0.972
dc.relation.ispartofsjr0,994
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectBCH codes
dc.subjectError-location numbers
dc.subjectForney's method
dc.subjectGalois extension
dc.subjectModified Berlekamp-Massey algorithm
dc.subjectSyndrome calculation
dc.titleConstruction and decoding of BCH codes over finite commutative ringsen
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