dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorShah, Tariq
dc.creatorAmanullah,
dc.creatorde Andrade, Antonio Aparecido
dc.date2014-05-27T11:29:48Z
dc.date2016-10-25T18:50:16Z
dc.date2014-05-27T11:29:48Z
dc.date2016-10-25T18:50:16Z
dc.date2013-07-01
dc.date.accessioned2017-04-06T02:28:28Z
dc.date.available2017-04-06T02:28:28Z
dc.identifierComputational and Applied Mathematics, v. 32, n. 2, p. 261-274, 2013.
dc.identifier0101-8205
dc.identifier1807-0302
dc.identifierhttp://hdl.handle.net/11449/75750
dc.identifierhttp://acervodigital.unesp.br/handle/11449/75750
dc.identifier10.1007/s40314-013-0010-1
dc.identifierWOS:000320665200005
dc.identifier2-s2.0-84879207286
dc.identifierhttp://dx.doi.org/10.1007/s40314-013-0010-1
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/896484
dc.descriptionCurrently, 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.
dc.languageeng
dc.relationComputational and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/closedAccess
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 code
dc.typeOtro


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