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Title: Multistage list decoding of generalized Reed-Solomon codes over Galois rings
Authors: Armand, M.A. 
de Taisne, O.
Keywords: Alternant codes
Galois rings
List decoding
Reed-Solomon codes
Issue Date: Jul-2005
Citation: Armand, M.A.,de Taisne, O. (2005-07). Multistage list decoding of generalized Reed-Solomon codes over Galois rings. IEEE Communications Letters 9 (7) : 625-627. ScholarBank@NUS Repository.
Abstract: A two-stage list decoder for generalized Reed-Solomon codes over GR(pl, m) that can exceed the Guruswami-Sudan decoding radius tGS with significant probability for p = 2, l ≥ 2 and m = 1 was recently proposed. It makes a distinction between error values which are units and those which are zero divisors in order to exceed tGS. This letter presents an extension of that approach by exploiting the fact that each element of GR(pl, m) has a unique p-adic expansion, culminating in a multistage decoder that outperforms the two-stage decoder. © 2005 IEEE.
Source Title: IEEE Communications Letters
ISSN: 10897798
DOI: 10.1109/LCOMM.2005.07012
Appears in Collections:Staff Publications

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