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arXiv · 1002.0043

A Rate-Distortion Exponent Approach to Multiple Decoding Attempts for Reed-Solomon Codes

Phong S. Nguyen·Henry D. Pfister·Krishna R. Narayanan
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Abstract

Algorithms based on multiple decoding attempts of Reed-Solomon (RS) codes have recently attracted new attention. Choosing decoding candidates based on rate-distortion (R-D) theory, as proposed previously by the authors, currently provides the best performance-versus-complexity trade-off. In this paper, an analysis based on the rate-distortion exponent (RDE) is used to directly minimize the exponential decay rate of the error probability. This enables rigorous bounds on the error probability for finite-length RS codes and leads to modest performance gains. As a byproduct, a numerical method is derived that computes the rate-distortion exponent for independent non-identical sources. Analytical results are given for errors/erasures decoding.

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Phong S. Nguyen, Henry D. Pfister, Krishna R. Narayanan. 2010-01-30. A Rate-Distortion Exponent Approach to Multiple Decoding Attempts for Reed-Solomon Codes. https://doi.org/10.1109/isit.2010.5513703

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