2003•Electronics LettersRequires access

Lee-metric decoding of BCH and Reed–Solomon codes

Xin-Wen Wu, Margreta Kuijper, P. Udaya

Abstract

A Lee-metric list-decoding algorithm for Reed–Solomon (RS) codes over GF( p) is presented. The algorithm is obtained by generalising the Guruswami–Sudan (Hamming metric) list-decoding algorithm for RS codes. The algorithm can be used to decode the Lee-metric BCH codes, and outperforms the known Lee-metric decoding algorithm for BCH codes.

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Key concepts: BCH code, Reed–Solomon error correction, Berlekamp–Welch algorithm, Metric (unit), Decoding methods, List decoding, Mathematics, Sequential decoding