A note on alternant and BCH codes

A.A. Andrade, J.C. Interlando, R. Palazzo Jr.

DOI: 10.14209/its.2002.174

Evento: 2002 International Telecommunications Symposium (ITS2002)

Keywords:

Abstract

"Alternant codes over arbitrary finite commutative local rings with identity are con- structed in terms of parity-check matrices. The derivation is based on the factorization of x\u00b0 \u20141 over the unit group of an appropriate extension of the finite ring. An efficient decoding proce- dure which makes use of the modified Berlekamp- Massey algorithm to correct errors is presented. Furtermore, we address the construction of BCH codes over Zy, under Lee metric."

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