{"id":"https://openalex.org/W2750886954","doi":"https://doi.org/10.1109/tit.2019.2909917","title":"A Probabilistic Peeling Decoder to Efficiently Analyze Generalized LDPC Codes Over the BEC","display_name":"A Probabilistic Peeling Decoder to Efficiently Analyze Generalized LDPC Codes Over the BEC","publication_year":2019,"publication_date":"2019-07-12","ids":{"openalex":"https://openalex.org/W2750886954","doi":"https://doi.org/10.1109/tit.2019.2909917","mag":"2750886954"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2909917","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2909917","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10016/28652","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101749110","display_name":"Yanfang Liu","orcid":"https://orcid.org/0000-0003-0811-8022"},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yanfang Liu","raw_affiliation_strings":["Klipsch School of Electrical and Computer Engineering, New Mexico State University, Las Cruces, NM, USA"],"affiliations":[{"raw_affiliation_string":"Klipsch School of Electrical and Computer Engineering, New Mexico State University, Las Cruces, NM, USA","institution_ids":["https://openalex.org/I10052268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066828138","display_name":"Pablo M. Olmos","orcid":"https://orcid.org/0000-0003-4276-5178"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pablo M. Olmos","raw_affiliation_strings":["Departamento de Teor\u00eda de la Se\u00f1al y Comunicaciones, Universidad Carlos III de Madrid, Legan\u00e9s, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Teor\u00eda de la Se\u00f1al y Comunicaciones, Universidad Carlos III de Madrid, Legan\u00e9s, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036503339","display_name":"Tobias Koch","orcid":"https://orcid.org/0000-0002-6496-3485"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Tobias Koch","raw_affiliation_strings":["Departamento de Teor\u00eda de la Se\u00f1al y Comunicaciones, Universidad Carlos III de Madrid, Legan\u00e9s, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Teor\u00eda de la Se\u00f1al y Comunicaciones, Universidad Carlos III de Madrid, Legan\u00e9s, Spain","institution_ids":["https://openalex.org/I50357001"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101749110"],"corresponding_institution_ids":["https://openalex.org/I10052268"],"apc_list":null,"apc_paid":null,"fwci":1.1121,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.79289292,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"65","issue":"8","first_page":"4831","last_page":"4853"},"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":0.9957000017166138,"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":0.9933000206947327,"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/decoding-methods","display_name":"Decoding methods","score":0.7105145454406738},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.6746335029602051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.551816463470459},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5130952596664429},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4521106779575348},{"id":"https://openalex.org/keywords/puncturing","display_name":"Puncturing","score":0.4338453710079193},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.42870163917541504},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3683340549468994},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15928608179092407}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7105145454406738},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.6746335029602051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.551816463470459},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5130952596664429},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4521106779575348},{"id":"https://openalex.org/C2778808095","wikidata":"https://www.wikidata.org/wiki/Q3899825","display_name":"Puncturing","level":2,"score":0.4338453710079193},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.42870163917541504},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3683340549468994},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15928608179092407}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2019.2909917","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2909917","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:dnet:earchivo____::04ec6094fc6cb2ee572aa68dda21a381","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/28652","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:1709.00873","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.00873","pdf_url":"https://arxiv.org/pdf/1709.00873","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:dnet:earchivo____::04ec6094fc6cb2ee572aa68dda21a381","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/28652","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1493363207","display_name":null,"funder_award_id":"/TCS-","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G1643641974","display_name":null,"funder_award_id":"AEI/FEDER","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G1806048845","display_name":null,"funder_award_id":"333680","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3200868412","display_name":null,"funder_award_id":"IJCI-2014-19150","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G3699213180","display_name":null,"funder_award_id":"Spain","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G3984031253","display_name":null,"funder_award_id":"AEI/FEDER","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4282655802","display_name":null,"funder_award_id":"TEC2013-41718-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G4500004730","display_name":null,"funder_award_id":"IND2018/TIC-9649","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G4531677044","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G4652866256","display_name":null,"funder_award_id":"Y2018/TCS-4705","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G4816244515","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4934715579","display_name":null,"funder_award_id":"AEI/FEDER","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G495392292","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4956428346","display_name":null,"funder_award_id":"Horizon 2020 research and innovatio","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5040582290","display_name":null,"funder_award_id":"IND2017/TIC-7618","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G5075611823","display_name":null,"funder_award_id":"RYC-2014-16332","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G5279340442","display_name":null,"funder_award_id":"IND2017","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G5948820415","display_name":null,"funder_award_id":"TEC2016-78434-C3","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G7338640779","display_name":"Information Theory for Low-Latency Wireless Communications","funder_award_id":"714161","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7396480700","display_name":null,"funder_award_id":"S2103/ICE-2845","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G7420919289","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G7571065899","display_name":null,"funder_award_id":"IND2018","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8246179725","display_name":null,"funder_award_id":"TEC2016-78434-C3-3-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320313831","display_name":"Comunidad de Madrid","ror":null},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323770","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W125120570","https://openalex.org/W1536930200","https://openalex.org/W1559343931","https://openalex.org/W1606480398","https://openalex.org/W1607198972","https://openalex.org/W1662238260","https://openalex.org/W1786958668","https://openalex.org/W1971177531","https://openalex.org/W1975734252","https://openalex.org/W1976677460","https://openalex.org/W1979720612","https://openalex.org/W1980544482","https://openalex.org/W1982045017","https://openalex.org/W1983922462","https://openalex.org/W2018112271","https://openalex.org/W2097900809","https://openalex.org/W2105006836","https://openalex.org/W2109799454","https://openalex.org/W2113589487","https://openalex.org/W2114673995","https://openalex.org/W2115104320","https://openalex.org/W2126324363","https://openalex.org/W2127490352","https://openalex.org/W2128765501","https://openalex.org/W2130458083","https://openalex.org/W2133068391","https://openalex.org/W2149491259","https://openalex.org/W2149672066","https://openalex.org/W2156991284","https://openalex.org/W2162346886","https://openalex.org/W2169138470","https://openalex.org/W2242182868","https://openalex.org/W2247119331","https://openalex.org/W2787280211","https://openalex.org/W2901260059","https://openalex.org/W2952834582","https://openalex.org/W2953100512","https://openalex.org/W3098756451","https://openalex.org/W3104408495","https://openalex.org/W3106281662","https://openalex.org/W3140968660","https://openalex.org/W4206775542","https://openalex.org/W4292232932","https://openalex.org/W4300188436"],"related_works":["https://openalex.org/W2133440869","https://openalex.org/W2152494507","https://openalex.org/W2088497038","https://openalex.org/W2538326137","https://openalex.org/W4307680413","https://openalex.org/W2963817320","https://openalex.org/W2011305240","https://openalex.org/W2493667298","https://openalex.org/W1627814422","https://openalex.org/W2885795561"],"abstract_inverted_index":{"In":[0,206],"this":[1],"paper,":[2],"we":[3,95,171,209],"analyze":[4],"the":[5,34,39,60,63,97,105,129,142,160,174,180,184,222,228,243,253,264],"tradeoff":[6],"between":[7],"coding":[8],"rate":[9,37],"and":[10,54,75,133,203,252],"asymptotic":[11,139],"performance":[12,140,177,182],"of":[13,16,28,38,62,91,115,168,183,215,249,255,259],"a":[14,25,116,121,166,212,256],"class":[15,167],"generalized":[17,29,260],"low-density":[18],"parity-check":[19],"(GLDPC)":[20],"codes":[21,153],"constructed":[22],"by":[23,247],"including":[24],"certain":[26,257],"fraction":[27,214,230,258],"constraint":[30],"(GC)":[31],"nodes":[32,82,217,262],"in":[33,263],"graph.":[35,265],"The":[36,137],"GLDPC":[40,169,198],"ensemble":[41],"is":[42,218,231],"bounded":[43],"using":[44,148],"classical":[45],"results":[46],"on":[47,88,127],"linear":[48],"block":[49,131],"codes,":[50],"namely,":[51],"Hamming":[52],"bound":[53],"Varshamov":[55],"bound.":[56],"We":[57,193,236],"also":[58],"study":[59],"impact":[61],"decoding":[64,79,100,106,123,135,189],"method":[65],"used":[66],"at":[67,80,108,190],"GC":[68,81,110,130,191,216],"nodes.":[69,192],"To":[70],"incorporate":[71],"both":[72,128],"bounded-distance":[73],"(BD)":[74],"maximum":[76],"likelihood":[77],"(ML)":[78],"into":[83],"our":[84,195],"analysis":[85,196],"without":[86],"resorting":[87],"multi-edge":[89],"type":[90],"degree":[92],"distributions":[93],"(DDs),":[94],"propose":[96],"probabilistic":[98],"peeling":[99],"(P-PD)":[101],"algorithm,":[102],"which":[103],"models":[104],"step":[107],"every":[109],"node":[111],"as":[112,155],"an":[113],"instance":[114],"Bernoulli":[117],"random":[118,250],"variable":[119,261],"with":[120,201],"successful":[122],"probability":[124],"that":[125,173,211],"depends":[126],"code":[132,186,199],"its":[134],"algorithm.":[136],"P-PD":[138,176],"over":[141],"BEC":[143],"can":[144],"be":[145],"efficiently":[146],"predicted":[147],"standard":[149],"techniques":[150,239],"for":[151,165,197],"LDPC":[152],"such":[154],"density":[156],"evolution":[157],"(DE)":[158],"or":[159],"differential":[161],"equation":[162],"method.":[163],"Furthermore,":[164],"ensembles,":[170],"demonstrate":[172],"simulated":[175],"accurately":[178],"predicts":[179],"actual":[181],"GLPDC":[185],"under":[187],"ML":[188],"illustrate":[194],"ensembles":[200],"regular":[202],"irregular":[204],"DDs.":[205],"all":[207],"cases,":[208],"show":[210],"large":[213],"required":[219],"to":[220,225,240,245],"reduce":[221,242],"original":[223],"gap":[224,244],"capacity,":[226],"but":[227],"optimal":[229],"strictly":[232],"smaller":[233],"than":[234],"one.":[235],"then":[237],"consider":[238],"further":[241],"capacity":[246],"means":[248],"puncturing,":[251],"inclusion":[254]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2017-09-15T00:00:00"}