{"id":"https://openalex.org/W2085386366","doi":"https://doi.org/10.1134/s0032946009040061","title":"Graph-based convolutional and block LDPC codes","display_name":"Graph-based convolutional and block LDPC codes","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2085386366","doi":"https://doi.org/10.1134/s0032946009040061","mag":"2085386366"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946009040061","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946009040061","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/A5018999589","display_name":"Irina E. Bocharova","orcid":"https://orcid.org/0000-0002-6460-4626"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I. E. Bocharova","raw_affiliation_strings":["St. Petersburg State University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","St.-Petersburg State University of Information Technologies, Mechanics and Optics, St.-Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]},{"raw_affiliation_string":"St.-Petersburg State University of Information Technologies, Mechanics and Optics, St.-Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088880021","display_name":"Boris D. Kudryashov","orcid":"https://orcid.org/0000-0002-5865-5283"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"B. D. Kudryashov","raw_affiliation_strings":["St. Petersburg State University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","St.-Petersburg State University of Information Technologies, Mechanics and Optics, St.-Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]},{"raw_affiliation_string":"St.-Petersburg State University of Information Technologies, Mechanics and Optics, St.-Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031896448","display_name":"Roman V. Satyukov","orcid":null},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"R. V. Satyukov","raw_affiliation_strings":["St. Petersburg State University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","St.-Petersburg State University of Information Technologies, Mechanics and Optics, St.-Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]},{"raw_affiliation_string":"St.-Petersburg State University of Information Technologies, Mechanics and Optics, St.-Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8144,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8611944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"45","issue":"4","first_page":"357","last_page":"377"},"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":0.9936000108718872,"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":0.9918000102043152,"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":0.7306257486343384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6838513612747192},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.52512127161026},{"id":"https://openalex.org/keywords/convolutional-code","display_name":"Convolutional code","score":0.5190618634223938},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5071673393249512},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4754107594490051},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.4679265022277832},{"id":"https://openalex.org/keywords/tanner-graph","display_name":"Tanner graph","score":0.467204749584198},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.3814927339553833},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35989058017730713},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3479318916797638},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33135998249053955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3300544023513794},{"id":"https://openalex.org/keywords/error-floor","display_name":"Error floor","score":0.3078473210334778},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27316197752952576},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.20107457041740417}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.7306257486343384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6838513612747192},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.52512127161026},{"id":"https://openalex.org/C157899210","wikidata":"https://www.wikidata.org/wiki/Q1395022","display_name":"Convolutional code","level":3,"score":0.5190618634223938},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5071673393249512},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4754107594490051},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.4679265022277832},{"id":"https://openalex.org/C87117866","wikidata":"https://www.wikidata.org/wiki/Q7683664","display_name":"Tanner graph","level":5,"score":0.467204749584198},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.3814927339553833},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35989058017730713},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3479318916797638},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33135998249053955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3300544023513794},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.3078473210334778},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27316197752952576},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.20107457041740417}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1134/s0032946009040061","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946009040061","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"},{"id":"pmh:oai:lup.lub.lu.se:0ebd5a41-67f4-4eab-bf24-5a9ff8ab9db2","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/1528510","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0032-9460","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1502015329","https://openalex.org/W1571565904","https://openalex.org/W1964402820","https://openalex.org/W1973712217","https://openalex.org/W1994369721","https://openalex.org/W2005457258","https://openalex.org/W2039544061","https://openalex.org/W2054649237","https://openalex.org/W2071304218","https://openalex.org/W2093659774","https://openalex.org/W2104043302","https://openalex.org/W2107621627","https://openalex.org/W2113132074","https://openalex.org/W2121606987","https://openalex.org/W2127490352","https://openalex.org/W2127558904","https://openalex.org/W2128765501","https://openalex.org/W2133068391","https://openalex.org/W2133126019","https://openalex.org/W2143001209","https://openalex.org/W2146033312","https://openalex.org/W2155797792","https://openalex.org/W2163963758","https://openalex.org/W2172278029","https://openalex.org/W2580476827","https://openalex.org/W2987657883","https://openalex.org/W2993858912","https://openalex.org/W4235946010","https://openalex.org/W4285719527","https://openalex.org/W4300188436"],"related_works":["https://openalex.org/W1972318883","https://openalex.org/W2534582423","https://openalex.org/W2121305283","https://openalex.org/W2015741799","https://openalex.org/W2168862745","https://openalex.org/W3114701954","https://openalex.org/W1944343091","https://openalex.org/W1603044377","https://openalex.org/W2098086720","https://openalex.org/W1996737726"],"abstract_inverted_index":{"We":[0,45,95,108],"consider":[1,46],"regular":[2],"block":[3],"and":[4,18,30,87],"convolutional":[5,57],"LDPC":[6],"codes":[7,24,51,60],"determined":[8],"by":[9,28],"paritycheck":[10],"matrices":[11],"with":[12,38],"rows":[13],"of":[14,20,34,41,49,55,104,112],"a":[15,35,47,79],"fixed":[16],"weight":[17,21],"columns":[19],"2.":[22],"Such":[23],"can":[25],"be":[26],"described":[27],"graphs,":[29],"the":[31,39,42,53,67,90,102,105],"minimum":[32],"distance":[33],"code":[36],"coincides":[37],"girth":[40,103],"corresponding":[43,106],"graph.":[44],"description":[48,81],"such":[50,93],"in":[52],"form":[54],"tail-biting":[56],"codes.":[58,94,113],"Long":[59],"are":[61],"constructed":[62],"from":[63],"short":[64],"ones":[65],"using":[66],"\u201cvoltage":[68],"graph\u201d":[69],"method.":[70],"On":[71],"this":[72],"way":[73],"we":[74],"construct":[75],"new":[76],"codes,":[77,86],"find":[78],"compact":[80],"for":[82,92],"many":[83],"known":[84],"optimal":[85],"thus":[88],"simplify":[89],"coding":[91],"obtain":[96],"an":[97],"asymptotic":[98],"lower":[99],"bound":[100],"on":[101],"graphs.":[107],"also":[109],"present":[110],"tables":[111]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}