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Goppa and Srivastava codes over finite rings

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Abstract

Goppa and Srivastava codes over arbitrary local finite commutative rings with identity are constructed in terms of parity-cleck matrices. An efficient decoding procedure, based on the modified Berlekamp-Massey algorithm, is proposed for Goppa codes.

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English

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Computational and Applied Mathematics, v. 24, n. 2, p. 231-244, 2005.

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