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Encoding through generalized polynomial codesDOI: 10.1590/S1807-03022011000200006 Keywords: semigroup ring, cyclic code, bch code, alternant code, goppa code, srivastava code. Abstract: 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].
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