Publicação: Hamming and Reed-Solomon codes over certain rings
dc.contributor.author | Andrade, A. A. [UNESP] | |
dc.contributor.author | Palazzo, R. | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Universidade Estadual de Campinas (UNICAMP) | |
dc.date.accessioned | 2014-05-20T15:22:46Z | |
dc.date.available | 2014-05-20T15:22:46Z | |
dc.date.issued | 2001-01-01 | |
dc.description.abstract | In 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. | en |
dc.description.affiliation | UNESP, IBMCE, Dept Math, BR-15054000 Sao Jose do Rio Preto, SP, Brazil | |
dc.description.affiliation | Univ Estadual Campinas, FEEC, Dept Telemat, BR-13081970 Campinas, SP, Brazil | |
dc.description.affiliationUnesp | UNESP, IBMCE, Dept Math, BR-15054000 Sao Jose do Rio Preto, SP, Brazil | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorshipId | FAPESP: 95/4720-8 | |
dc.format.extent | 289-306 | |
dc.identifier | http://books.google.com.br/books?id=HkcEzM3QN9IC&lpg=PA265&hl=pt-BR&pg=PA265#v=onepage&q&f=false | |
dc.identifier.citation | Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 20, n. 3, p. 289-306, 2001. | |
dc.identifier.issn | 1807-0302 | |
dc.identifier.lattes | 8940498347481982 | |
dc.identifier.uri | http://hdl.handle.net/11449/33690 | |
dc.identifier.wos | WOS:000208766400002 | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartof | Computational & Applied Mathematics | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Web of Science | |
dc.subject | Hamming code | pt |
dc.subject | Reed-Solomon code | pt |
dc.subject | modified Berlekamp-Massey algorithm | pt |
dc.subject | syndrome calculation | pt |
dc.subject | error-location number | pt |
dc.subject | Forney's method | pt |
dc.title | Hamming and Reed-Solomon codes over certain rings | en |
dc.type | Artigo | |
dcterms.license | http://www.scielo.br/revistas/cam/iaboutj.htm | |
dcterms.rightsHolder | Springer | |
dspace.entity.type | Publication | |
unesp.author.lattes | 8940498347481982[1] | |
unesp.author.orcid | 0000-0001-6452-2236[1] | |
unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
unesp.department | Matemática - IBILCE | pt |
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