A method for improving the code rate and error correction capability of a cyclic code

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dc.contributor.authorShah, Tariq
dc.contributor.authorAmanullah,
dc.contributor.authorde Andrade, Antonio Aparecido [UNESP]
dc.contributor.institutionQuaid-i-Azam University
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:29:48Z
dc.date.available2014-05-27T11:29:48Z
dc.date.issued2013-07-01
dc.description.abstractCurrently, there has been an increasing demand for operational and trustworthy digital data transmission and storage systems. This demand has been augmented by the appearance of large-scale, high-speed data networks for the exchange, processing and storage of digital information in the different spheres. In this paper, we explore a way to achieve this goal. For given positive integers n,r, we establish that corresponding to a binary cyclic code C0[n,n-r], there is a binary cyclic code C[(n+1)3k-1,(n+1)3k-1-3kr], where k is a nonnegative integer, which plays a role in enhancing code rate and error correction capability. In the given scheme, the new code C is in fact responsible to carry data transmitted by C0. Consequently, a codeword of the code C0 can be encoded by the generator matrix of C and therefore this arrangement for transferring data offers a safe and swift mode. © 2013 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.en
dc.description.affiliationDepartment of Mathematics Quaid-i-Azam University, Islamabad
dc.description.affiliationDepartment of Mathematics São Paulo State University, São José do Rio Preto, SP
dc.description.affiliationUnespDepartment of Mathematics São Paulo State University, São José do Rio Preto, SP
dc.format.extent261-274
dc.identifierhttp://dx.doi.org/10.1007/s40314-013-0010-1
dc.identifier.citationComputational and Applied Mathematics, v. 32, n. 2, p. 261-274, 2013.
dc.identifier.doi10.1007/s40314-013-0010-1
dc.identifier.issn0101-8205
dc.identifier.issn1807-0302
dc.identifier.lattes8940498347481982
dc.identifier.scopus2-s2.0-84879207286
dc.identifier.urihttp://hdl.handle.net/11449/75750
dc.identifier.wosWOS:000320665200005
dc.language.isoeng
dc.relation.ispartofComputational and Applied Mathematics
dc.relation.ispartofjcr0.863
dc.relation.ispartofsjr0,272
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectBinary cyclic code
dc.subjectBinary Hamming code
dc.subjectPolynomial ring
dc.subjectSemigroup ring
dc.titleA method for improving the code rate and error correction capability of a cyclic codeen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights
unesp.author.lattes8940498347481982[3]
unesp.author.orcid0000-0001-6452-2236[3]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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