{"id":"https://openalex.org/W1536890176","doi":"https://doi.org/10.1109/isit.2010.5513620","title":"Multilevel decoders surpassing belief propagation on the binary symmetric channel","display_name":"Multilevel decoders surpassing belief propagation on the binary symmetric channel","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W1536890176","doi":"https://doi.org/10.1109/isit.2010.5513620","mag":"1536890176"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513620","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513620","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1001.3421","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Shiva Kumar Planjery","orcid":null},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shiva Kumar Planjery","raw_affiliation_strings":["Dept. of Electrical and Computer Eng., University of Arizona, Tucson, AZ, U.S.A"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Eng., University of Arizona, Tucson, AZ, U.S.A","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":null,"display_name":"David Declercq","orcid":null},"institutions":[{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Declercq","raw_affiliation_strings":["ETIS ENSEA/UCP/CNRS UMR 8051, Cergy-Pontoise, France"],"affiliations":[{"raw_affiliation_string":"ETIS ENSEA/UCP/CNRS UMR 8051, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shashi Kiran Chilappagari","orcid":null},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shashi Kiran Chilappagari","raw_affiliation_strings":["Dept. of Electrical and Computer Eng., University of Arizona, Tucson, AZ, U.S.A"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Eng., University of Arizona, Tucson, AZ, U.S.A","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"last","author":{"id":null,"display_name":"Bane Vasic","orcid":null},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bane Vasic","raw_affiliation_strings":["Dept. of Electrical and Computer Eng., University of Arizona, Tucson, AZ, U.S.A"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Eng., University of Arizona, Tucson, AZ, U.S.A","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I138006243"],"apc_list":null,"apc_paid":null,"fwci":4.1442,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.93845012,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"769","last_page":"773"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":1.0,"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":1.0,"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":0.9984999895095825,"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"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.8977000117301941},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.6967999935150146},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6636999845504761},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6262000203132629},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5964000225067139},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.5242000222206116},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5149000287055969},{"id":"https://openalex.org/keywords/propagation-of-uncertainty","display_name":"Propagation of uncertainty","score":0.4805000126361847}],"concepts":[{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.8977000117301941},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.6967999935150146},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6636999845504761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6395999789237976},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6262000203132629},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6234999895095825},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5964000225067139},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.5242000222206116},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5149000287055969},{"id":"https://openalex.org/C123614077","wikidata":"https://www.wikidata.org/wiki/Q1364905","display_name":"Propagation of uncertainty","level":2,"score":0.4805000126361847},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.4562999904155731},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45019999146461487},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.43389999866485596},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.4194999933242798},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.3734999895095825},{"id":"https://openalex.org/C159246509","wikidata":"https://www.wikidata.org/wiki/Q5428725","display_name":"Factor graph","level":3,"score":0.303600013256073},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.3001999855041504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2915000021457672},{"id":"https://openalex.org/C2983848023","wikidata":"https://www.wikidata.org/wiki/Q733553","display_name":"Transmission channel","level":3,"score":0.28850001096725464},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.27649998664855957},{"id":"https://openalex.org/C2779190172","wikidata":"https://www.wikidata.org/wiki/Q4913888","display_name":"Binary data","level":3,"score":0.265500009059906},{"id":"https://openalex.org/C2779363554","wikidata":"https://www.wikidata.org/wiki/Q5420835","display_name":"Expectation propagation","level":4,"score":0.26010000705718994},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.25369998812675476}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2010.5513620","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513620","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1001.3421","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1001.3421","pdf_url":"https://arxiv.org/pdf/1001.3421","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1001.3421","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1001.3421","pdf_url":"https://arxiv.org/pdf/1001.3421","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1511646925","https://openalex.org/W2043809349","https://openalex.org/W2103028698","https://openalex.org/W2111190685","https://openalex.org/W2127370988","https://openalex.org/W2129325662","https://openalex.org/W2142415334","https://openalex.org/W2145006302","https://openalex.org/W2150570316","https://openalex.org/W2152474312","https://openalex.org/W2153049761","https://openalex.org/W2169732368","https://openalex.org/W2553702736","https://openalex.org/W4300188436","https://openalex.org/W6628810906"],"related_works":[],"abstract_inverted_index":{"In":[0,70],"this":[1,117],"paper,":[2],"we":[3],"propose":[4],"a":[5,25,75,85,120],"new":[6],"class":[7],"of":[8,43,84,88,122,125],"quantized":[9],"message-passing":[10],"decoders":[11,80,99],"for":[12,100],"LDPC":[13,102],"codes":[14],"over":[15],"the":[16,41,49,107,123,126],"BSC.":[17],"The":[18,28],"messages":[19],"take":[20],"values":[21],"(or":[22],"levels)":[23],"from":[24],"finite":[26],"set.":[27],"update":[29,50],"rules":[30,51],"do":[31],"not":[32],"mimic":[33],"belief":[34],"propagation":[35],"but":[36,112],"instead":[37],"are":[38,61],"derived":[39,54],"using":[40],"knowledge":[42],"trapping":[44],"sets.":[45],"We":[46,94],"show":[47],"that":[48,60],"can":[52,81],"be":[53],"to":[55],"correct":[56],"certain":[57],"error":[58],"patterns":[59],"uncorrectable":[62],"by":[63],"algorithms":[64],"such":[65],"as":[66],"BP":[67,91,108,127],"and":[68,92,109,128],"min-sum.":[69,93],"some":[71],"cases":[72],"even":[73],"with":[74],"small":[76],"message":[77],"set,":[78],"these":[79],"guarantee":[82],"correction":[83],"higher":[86],"number":[87],"errors":[89],"than":[90],"provide":[95],"particularly":[96],"good":[97],"3-bit":[98],"3-left-regular":[101],"codes.":[103],"They":[104],"significantly":[105],"outperform":[106],"min-sum":[110,129],"decoders,":[111],"more":[113],"importantly,":[114],"they":[115],"achieve":[116],"at":[118],"only":[119],"fraction":[121],"complexity":[124],"decoders.":[130]},"counts_by_year":[{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}