Andrade, Antonio Aparecido de [UNESP]Shah, TariqKhan, Atlas2015-04-272015-04-272011TEMA. Tendências em Matemática Aplicada e Computacional, v. 12, n. 2, p. 79-89, 2011.1677-1966http://hdl.handle.net/11449/122690In this paper, we introduced new construction techniques of BCH, alternant, Goppa, Srivastava codes through the semigroup ring B[X; 1 3Z0] instead of the polynomial ring B[X; Z0], where B is a finite commutative ring with identity, and for these constructions we improve the several results of [1]. After this, we present a decoding principle for BCH, alternant and Goppa codes which is based on modified Berlekamp-Massey algorithm. This algorithm corrects all errors up to the Hamming weight t ≤ r/2, i.e., whose minimum Hamming distance is r + 1.79-89engSemigroup ringBCH codeAlternant codeGoppa codeSrivastava codeArtigo10.5540/tema.2011.012.02.0079Acesso restrito8940498347481982