{ "id": "cond-mat/0205051", "version": "v1", "published": "2002-05-02T17:31:57.000Z", "updated": "2002-05-02T17:31:57.000Z", "title": "The Dynamic Phase Transition for Decoding Algorithms", "authors": [ "Silvio Franz", "Michele Leone", "Andrea Montanari", "Federico Ricci-Tersenghi" ], "comment": "40 pages, 29 eps figures", "journal": "Phys. Rev. E 66, 046120 (2002)", "doi": "10.1103/PhysRevE.66.046120", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2002-05-02T17:31:57.000Z" } ], "analyses": { "keywords": [ "dynamic phase transition", "decoding algorithms", "state-of-the-art error correcting codes", "large random constructions", "diluted mean-field spin glasses" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable" } } }