Alternant and BCH codes over certain rings

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorAndrade, A.A.
dc.creatorInterlando, J.C.
dc.creatorPalazzo Jr., R.
dc.date2014-05-20T14:02:50Z
dc.date2014-05-20T14:02:50Z
dc.date2003-01-01
dc.date.accessioned2017-04-05T21:28:31Z
dc.date.available2017-04-05T21:28:31Z
dc.identifierComputational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 22, n. 2, p. 233-247, 2003.
dc.identifier1807-0302
dc.identifierhttp://hdl.handle.net/11449/22134
dc.identifier10.1590/S0101-82052003000200005
dc.identifierS1807-03022003000200005
dc.identifierS1807-03022003000200005.pdf
dc.identifierhttp://dx.doi.org/10.1590/S0101-82052003000200005
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/867593
dc.descriptionAlternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x s - 1 over the unit group of an appropriate extension of the finite ring. An efficient decoding procedure which makes use of the modified Berlekamp-Massey algorithm to correct errors and erasures is presented. Furthermore, we address the construction of BCH codes over Zm under Lee metric.
dc.languageeng
dc.publisherSociedade Brasileira de Matemática Aplicada e Computacional
dc.relationComputational & Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectcodes over rings
dc.subjectAlternant code
dc.subjectBCH codes
dc.subjectGalois extensions of local commutative rings
dc.subjectalgebraic decoding
dc.subjectmodified Berlekamp-Massey algorithm
dc.subjecterrors and erasures decoding
dc.subjectLee metric
dc.titleAlternant and BCH codes over certain rings
dc.typeOtro


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