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The Dynamic Phase Transition for Decoding Algorithms

Silvio Franz·Michele Leone·Andrea Montanari·Federico Ricci-Tersenghi
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Abstract

The state-of-the-art error correcting codes are based on large random constructions (random graphs, random permutations, ...) and are decoded by linear-time iterative algorithms. Because of these features, they are remarkable examples of diluted mean-field spin glasses, both from the static and from the dynamic points of view. We analyze the behavior of decoding algorithms using the mapping onto statistical-physics models. This allows to understand the intrinsic (i.e. algorithm independent) features of this behavior.

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Silvio Franz, Michele Leone, Andrea Montanari, Federico Ricci-Tersenghi. 2002-05-02. The Dynamic Phase Transition for Decoding Algorithms. https://doi.org/10.1103/physreve.66.046120

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