dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorAndrade, A. A.
dc.creatorPalazzo, R.
dc.date2014-05-20T15:22:46Z
dc.date2016-10-25T17:56:32Z
dc.date2014-05-20T15:22:46Z
dc.date2016-10-25T17:56:32Z
dc.date2001-01-01
dc.date.accessioned2017-04-05T23:38:29Z
dc.date.available2017-04-05T23:38:29Z
dc.identifierComputational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 20, n. 3, p. 289-306, 2001.
dc.identifier1807-0302
dc.identifierhttp://hdl.handle.net/11449/33690
dc.identifierhttp://acervodigital.unesp.br/handle/11449/33690
dc.identifierWOS:000208766400002
dc.identifierhttp://books.google.com.br/books?id=HkcEzM3QN9IC&lpg=PA265&hl=pt-BR&pg=PA265#v=onepage&q&f=false
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/877758
dc.descriptionIn 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.
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageeng
dc.publisherSpringer
dc.relationComputational & Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectHamming code
dc.subjectReed-Solomon code
dc.subjectmodified Berlekamp-Massey algorithm
dc.subjectsyndrome calculation
dc.subjecterror-location number
dc.subjectForney's method
dc.titleHamming and Reed-Solomon codes over certain rings
dc.typeOtro


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