{"id":"https://openalex.org/W2001777589","doi":"https://doi.org/10.1134/s0032946008030046","title":"On the error-correcting capability of LDPC codes","display_name":"On the error-correcting capability of LDPC codes","publication_year":2008,"publication_date":"2008-09-01","ids":{"openalex":"https://openalex.org/W2001777589","doi":"https://doi.org/10.1134/s0032946008030046","mag":"2001777589"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946008030046","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946008030046","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018210085","display_name":"Kamil Sh. Zigangirov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"K. Sh. Zigangirov","raw_affiliation_strings":["Institute for Information Transmission Problems, Moscow, Russia","Institute for Information Transmission Problems, Moscow, Russia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"Institute for Information Transmission Problems, Moscow, Russia#TAB#","institution_ids":["https://openalex.org/I4210107660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032113717","display_name":"A. E. Pusane","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. E. Pusane","raw_affiliation_strings":["University of Notre Dame, Indiana, USA","(University of Notre Dame, Indiana, USA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Notre Dame, Indiana, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"(University of Notre Dame, Indiana, USA)","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086456070","display_name":"D. K. Zigangirov","orcid":"https://orcid.org/0000-0002-8766-0401"},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"D. K. Zigangirov","raw_affiliation_strings":["Institute for Information Transmission Problems, Moscow, Russia","Institute for Information Transmission Problems, Moscow, Russia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"Institute for Information Transmission Problems, Moscow, Russia#TAB#","institution_ids":["https://openalex.org/I4210107660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089062454","display_name":"Daniel J. Costello","orcid":"https://orcid.org/0000-0002-4387-116X"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. J. Costello","raw_affiliation_strings":["University of Notre Dame, Indiana, USA","(University of Notre Dame, Indiana, USA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Notre Dame, Indiana, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"(University of Notre Dame, Indiana, USA)","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018210085"],"corresponding_institution_ids":["https://openalex.org/I4210107660"],"apc_list":null,"apc_paid":null,"fwci":1.1308,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80470806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"44","issue":"3","first_page":"214","last_page":"225"},"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":0.9990000128746033,"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":0.9979000091552734,"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":0.9573431015014648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6910616159439087},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5452868938446045},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5212543606758118},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5015702247619629},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.49469491839408875},{"id":"https://openalex.org/keywords/error-floor","display_name":"Error floor","score":0.4834933578968048},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.47538626194000244},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.46052297949790955},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4284447431564331},{"id":"https://openalex.org/keywords/binary-symmetric-channel","display_name":"Binary symmetric channel","score":0.42461633682250977},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4179798364639282},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41027048230171204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22226890921592712},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.21453580260276794}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.9573431015014648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6910616159439087},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5452868938446045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5212543606758118},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5015702247619629},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.49469491839408875},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.4834933578968048},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.47538626194000244},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.46052297949790955},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4284447431564331},{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.42461633682250977},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4179798364639282},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41027048230171204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22226890921592712},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.21453580260276794},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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":1,"locations":[{"id":"doi:10.1134/s0032946008030046","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946008030046","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1984762281","https://openalex.org/W2035052782","https://openalex.org/W2075239581","https://openalex.org/W2128765501","https://openalex.org/W2156437081","https://openalex.org/W4300188436"],"related_works":["https://openalex.org/W2532556608","https://openalex.org/W2388289192","https://openalex.org/W1650655882","https://openalex.org/W2364567271","https://openalex.org/W2126543779","https://openalex.org/W2169811229","https://openalex.org/W2167124952","https://openalex.org/W2137273100","https://openalex.org/W2140615801","https://openalex.org/W2738016626"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,26,35,44],"ensemble":[3],"of":[4],"low-density":[5],"parity-check":[6],"(LDPC)":[7],"codes":[8,22],"introduced":[9],"by":[10],"Gallager":[11],"[1].":[12],"The":[13],"Zyablov-Pinsker":[14],"majority-logic":[15],"iterative":[16],"algorithm":[17],"[2]":[18],"for":[19],"decoding":[20],"LDPC":[21],"is":[23,48],"analyzed":[24],"on":[25,34],"binary":[27],"symmetric":[28],"channel.":[29],"An":[30],"analytical":[31],"lower":[32],"bound":[33],"error-correcting":[36],"capability":[37],"\u03c4":[38],"max":[39],"that":[40],"grows":[41],"linearly":[42],"in":[43],"code":[45],"block":[46],"length":[47],"obtained.":[49]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}