{"id":"https://openalex.org/W2156157221","doi":"https://doi.org/10.1109/isit.2009.5205919","title":"Decay of correlations in low density parity check codes: Low noise regime","display_name":"Decay of correlations in low density parity check codes: Low noise regime","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2156157221","doi":"https://doi.org/10.1109/isit.2009.5205919","mag":"2156157221"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205919","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/131187","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030079757","display_name":"Shrinivas Kudekar","orcid":"https://orcid.org/0000-0001-6441-0699"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Shrinivas Kudekar","raw_affiliation_strings":["Laboratory of theory of communications, School of Computer and Communication Sciences, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Laboratory of theory of communications, School of Computer and Communication Sciences, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038854134","display_name":"Nicolas Macris","orcid":"https://orcid.org/0000-0003-2189-7411"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Nicolas Macris","raw_affiliation_strings":["Laboratory of theory of communications, School of Computer and Communication Sciences, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Laboratory of theory of communications, School of Computer and Communication Sciences, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030079757"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":0.7251,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7620833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2654","last_page":"2658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.7419952750205994},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.6970112919807434},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5967397689819336},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5298678278923035},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.4924539029598236},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4822612404823303},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.47932589054107666},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4612390697002411},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4379188120365143},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.429115355014801},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4282376170158386},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.40970462560653687},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35849955677986145},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31460142135620117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2271885871887207},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13376256823539734},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07616543769836426}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.7419952750205994},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.6970112919807434},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5967397689819336},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5298678278923035},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.4924539029598236},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4822612404823303},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47932589054107666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4612390697002411},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4379188120365143},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.429115355014801},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4282376170158386},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40970462560653687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35849955677986145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31460142135620117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2271885871887207},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13376256823539734},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07616543769836426},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2009.5205919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205919","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.243.7609","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.243.7609","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0901.3630v1.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:131187","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/131187","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.epfl.ch:158872","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/158872","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:131187","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/131187","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1507653385","https://openalex.org/W1970582997","https://openalex.org/W2015028593","https://openalex.org/W2034585717","https://openalex.org/W2090156246","https://openalex.org/W2095653951","https://openalex.org/W2114468914","https://openalex.org/W2124616177","https://openalex.org/W2125906029","https://openalex.org/W2139584447","https://openalex.org/W2156595614","https://openalex.org/W2160844215","https://openalex.org/W3099994871","https://openalex.org/W4205240937"],"related_works":["https://openalex.org/W4289655494","https://openalex.org/W1984351496","https://openalex.org/W2171154110","https://openalex.org/W2886957319","https://openalex.org/W2119821330","https://openalex.org/W2106414790","https://openalex.org/W1974392290","https://openalex.org/W3103566292","https://openalex.org/W2074565401","https://openalex.org/W1607924090"],"abstract_inverted_index":{"Consider":[0],"transmission":[1],"over":[2,22,34,77],"a":[3,11,78],"binary":[4],"additive":[5],"white":[6],"gaussian":[7],"noise":[8,36,44,70],"channel":[9],"using":[10],"fixed":[12],"low-density":[13],"parity":[14],"check":[15],"code.":[16],"We":[17,38],"consider":[18],"the":[19,23,27,35,53,57,72,83,90],"posterior":[20],"measure":[21],"code":[24,58,80],"bits":[25],"and":[26,86],"corresponding":[28],"correlation":[29,48],"between":[30,56],"two":[31],"codebits,":[32],"averaged":[33,76],"realizations.":[37],"show":[39],"that":[40,66],"for":[41,67],"low":[42,68],"enough":[43,69],"variance":[45,71],"this":[46,63],"average":[47],"decays":[49],"exponentially":[50],"fast":[51],"with":[52],"graph":[54],"distance":[55],"bits.":[59],"One":[60],"consequence":[61],"of":[62,82],"result":[64],"is":[65],"GEXIT":[73],"functions":[74],"(further":[75],"standard":[79],"ensemble)":[81],"belief":[84],"propagation":[85],"optimal":[87],"decoders":[88],"are":[89],"same.":[91]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}