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Type: Artigo de periódico
Title: Alternant and BCH codes over certain rings
Author: Andrade, A.A.
Interlando, J.C.
Palazzo Jr., R.
Abstract: Alternant 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.
Subject: codes over rings
alternant codes
BCH codes
Galois extensions of local commutative rings
algebraic decoding
modified Berlekamp-Massey algorithm
errors and erasures decoding
Lee metric
Editor: Sociedade Brasileira de Matemática Aplicada e Computacional
Rights: aberto
Identifier DOI: 10.1590/S0101-82052003000200005
Date Issue: 1-Jan-2003
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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