{"id":"https://openalex.org/W2102792260","doi":"https://doi.org/10.1109/tit.2010.2040962","title":"On Trapping Sets and Guaranteed Error Correction Capability of LDPC Codes and GLDPC Codes","display_name":"On Trapping Sets and Guaranteed Error Correction Capability of LDPC Codes and GLDPC Codes","publication_year":2010,"publication_date":"2010-03-24","ids":{"openalex":"https://openalex.org/W2102792260","doi":"https://doi.org/10.1109/tit.2010.2040962","mag":"2102792260"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2040962","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2040962","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":"https://arxiv.org/pdf/0805.2427","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"S.K. 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"]},{"id":"https://openalex.org/I4210154351","display_name":"Marvell (United States)","ror":"https://ror.org/04wmff902","country_code":"US","type":"company","lineage":["https://openalex.org/I4210092679","https://openalex.org/I4210154351"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S.K. Chilappagari","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA","Marvell Semiconductor, Inc., Santa Clara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Marvell Semiconductor, Inc., Santa Clara, CA, USA","institution_ids":["https://openalex.org/I4210154351"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Dung Viet Nguyen","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":"Dung Viet Nguyen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":null,"display_name":"B. 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":"B. Vasic","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"last","author":{"id":null,"display_name":"M.W. Marcellin","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":"M.W. Marcellin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I138006243","https://openalex.org/I4210154351"],"apc_list":null,"apc_paid":null,"fwci":3.0139,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.91660479,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"56","issue":"4","first_page":"1600","last_page":"1611"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.991599977016449,"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":0.991599977016449,"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":0.00139999995008111,"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":0.0008999999845400453,"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/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.795799970626831},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6732000112533569},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5960000157356262},{"id":"https://openalex.org/keywords/tanner-graph","display_name":"Tanner graph","score":0.5809000134468079},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.5238000154495239},{"id":"https://openalex.org/keywords/factor-graph","display_name":"Factor graph","score":0.4991999864578247},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.49799999594688416},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4277999997138977},{"id":"https://openalex.org/keywords/expander-graph","display_name":"Expander graph","score":0.37720000743865967},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.37439998984336853}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.795799970626831},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6732000112533569},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5960000157356262},{"id":"https://openalex.org/C87117866","wikidata":"https://www.wikidata.org/wiki/Q7683664","display_name":"Tanner graph","level":5,"score":0.5809000134468079},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.548799991607666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5383999943733215},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.5238000154495239},{"id":"https://openalex.org/C159246509","wikidata":"https://www.wikidata.org/wiki/Q5428725","display_name":"Factor graph","level":3,"score":0.4991999864578247},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.49799999594688416},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4611999988555908},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4277999997138977},{"id":"https://openalex.org/C154547637","wikidata":"https://www.wikidata.org/wiki/Q776602","display_name":"Expander graph","level":3,"score":0.37720000743865967},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.37439998984336853},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.3702999949455261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3375000059604645},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.33649998903274536},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3156999945640564},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.31439998745918274},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.31290000677108765},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.3061999976634979},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3010999858379364},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.29019999504089355},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.27639999985694885},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.2750000059604645},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.26030001044273376},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.2531999945640564},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.2522999942302704},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.2502000033855438}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2010.2040962","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2040962","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:repository.arizona.edu:10150/656790","is_oa":false,"landing_page_url":"http://hdl.handle.net/10150/656790","pdf_url":null,"source":{"id":"https://openalex.org/S4306400271","display_name":"UA Campus Repository (The University of Arizona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138006243","host_organization_name":"University of Arizona","host_organization_lineage":["https://openalex.org/I138006243"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"1611","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:0805.2427","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0805.2427","pdf_url":"https://arxiv.org/pdf/0805.2427","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:0805.2427","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0805.2427","pdf_url":"https://arxiv.org/pdf/0805.2427","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":23,"referenced_works":["https://openalex.org/W1606026804","https://openalex.org/W1966969478","https://openalex.org/W1970912697","https://openalex.org/W1993508000","https://openalex.org/W2058374373","https://openalex.org/W2095882513","https://openalex.org/W2117432646","https://openalex.org/W2126324363","https://openalex.org/W2133068391","https://openalex.org/W2137271753","https://openalex.org/W2137347071","https://openalex.org/W2138236884","https://openalex.org/W2141042196","https://openalex.org/W2141572292","https://openalex.org/W2150570316","https://openalex.org/W2152474312","https://openalex.org/W2158843246","https://openalex.org/W2169134868","https://openalex.org/W2169732368","https://openalex.org/W2293231900","https://openalex.org/W4300188436","https://openalex.org/W6628810906","https://openalex.org/W6635197353"],"related_works":[],"abstract_inverted_index":{"The":[0,82,101,135],"relation":[1,102],"between":[2,103],"the":[3,6,23,36,58,65,77,86,93,120,130,166,170,176,188,196],"girth":[4],"and":[5,27,98,106,141],"guaranteed":[7,78,121],"error":[8,79,122],"correction":[9,80,123],"capability":[10,124],"of":[11,38,47,85,95,109,132,152,161,190],"<i":[12,50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[13,51],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u00bf</i>":[14],"-left-regular":[15],"low-density":[16],"parity-check":[17],"(LDPC)":[18],"codes":[19,155],"when":[20,175],"decoded":[21],"using":[22,92],"bit":[24,87,172],"flipping":[25,88,173],"(serial":[26],"parallel)":[28],"algorithms":[29,89],"is":[30,54,115,147,180,199],"investigated.":[31],"A":[32,184],"lower":[33,74,185],"bound":[34,75,186],"on":[35,57,76,119,129,187],"size":[37,189],"variable":[39,191],"node":[40,192],"sets":[41,97,105,193],"which":[42,194],"expand":[43],"by":[44],"a":[45,73,107,158,181],"factor":[46],"at":[48],"least":[49],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3":[52],"\u00bf/4</i>":[53],"found":[55],"based":[56,69,128],"Moore":[59],"bound.":[60],"This":[61],"bound,":[62],"combined":[63],"with":[64],"well":[66],"known":[67,111],"expander":[68],"arguments,":[70],"leads":[71],"to":[72,139],"capability.":[81],"decoding":[83],"failures":[84],"are":[90,125,137],"characterized":[91],"notions":[94],"trapping":[96],"fixed":[99,104],"sets.":[100],"class":[108,151],"graphs":[110,114],"as":[112],"cage":[113,133],"studied.":[116],"Upper":[117],"bounds":[118],"then":[126],"established":[127],"order":[131],"graphs.":[134],"results":[136],"extended":[138],"left-regular":[140],"right-uniform":[142],"generalized":[143,153],"LDPC":[144,154],"codes.":[145],"It":[146],"shown":[148],"that":[149],"this":[150],"can":[156],"correct":[157],"linear":[159],"number":[160],"worst":[162],"case":[163],"errors":[164],"(in":[165],"code":[167],"length)":[168],"under":[169],"parallel":[171],"algorithm":[174],"underlying":[177],"Tanner":[178],"graph":[179],"good":[182],"expander.":[183],"have":[195],"required":[197],"expansion":[198],"established.":[200]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
