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Performance Analysis of Algebraic Soft-Decision Decoding of Reed–Solomon Codes
Duggan, A.   Barg, A.  
Dept. of Electr., Univ. of Maryland, College Park, MD;

This paper appears in: Information Theory, IEEE Transactions on
Publication Date: Nov. 2008
Volume: 54,  Issue: 11
On page(s): 5012-5018
ISSN: 0018-9448
INSPEC Accession Number: 10299633
Digital Object Identifier: 10.1109/TIT.2008.929969
Current Version Published: 2008-10-21

Abstract
We investigate the decoding region for algebraic soft-decision decoding (ASD) of Reed-Solomon (RS) codes in a discrete, memoryless, additive-noise channel. An expression is derived for the error correction radius within which the soft-decision decoder produces a list that contains the transmitted codeword. The error radius for ASD is shown to be larger than that of Guruswami-Sudan (GS) hard-decision decoding for a subset of low and medium-rate codes. These results are also extended to multivariable interpolation in the sense of Parvaresh and Vardy.

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