Encoding through generalized polynomial codes
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Data
2011-08-31
Autores
Shah, T.
Khan, A.
Andrade, A. A. [UNESP]
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Resumo
This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1]. © 2011 SBMAC.
Descrição
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Alternant code, BCH code, Cyclic code, Goppa code, Semigroup ring, Srivastava code
Como citar
Computational and Applied Mathematics, v. 30, n. 2, p. 349-366, 2011.