{"id":"https://openalex.org/W2117971984","doi":"https://doi.org/10.1109/tit.2009.2034787","title":"Woven Graph Codes: Asymptotic Performances and Examples","display_name":"Woven Graph Codes: Asymptotic Performances and Examples","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2117971984","doi":"https://doi.org/10.1109/tit.2009.2034787","mag":"2117971984"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2009.2034787","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2034787","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/0804.0996","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Irina E. Bocharova","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":"Irina E. Bocharova","raw_affiliation_strings":["Department of Information Systems, Saint Petersburg University of Information Technologies, Mechanics and Optics, Saint Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Systems, Saint Petersburg University of Information Technologies, Mechanics and Optics, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Rolf Johannesson","orcid":null},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Rolf Johannesson","raw_affiliation_strings":["Department of Information Technology, Lund University, Lund, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Boris D. Kudryashov","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":"Boris D. Kudryashov","raw_affiliation_strings":["Department of Information Systems, Saint Petersburg University of Information Technologies, Mechanics and Optics, Saint Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Systems, Saint Petersburg University of Information Technologies, Mechanics and Optics, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"last","author":{"id":null,"display_name":"Viktor V. Zyablov","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":false,"raw_author_name":"Viktor V. Zyablov","raw_affiliation_strings":["Institute of Information Transmission Problems, Russian Academy of Science, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Transmission Problems, Russian Academy of Science, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2371,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88909169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"56","issue":"1","first_page":"121","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.23109999299049377,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.23109999299049377,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.131400004029274,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.10859999805688858,"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/block-code","display_name":"Block code","score":0.6550999879837036},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6363000273704529},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.6201000213623047},{"id":"https://openalex.org/keywords/convolutional-code","display_name":"Convolutional code","score":0.5266000032424927},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5210000276565552},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.4296000003814697},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.39969998598098755},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.39649999141693115},{"id":"https://openalex.org/keywords/block-graph","display_name":"Block graph","score":0.38530001044273376}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6550999879837036},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6363000273704529},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.6201000213623047},{"id":"https://openalex.org/C157899210","wikidata":"https://www.wikidata.org/wiki/Q1395022","display_name":"Convolutional code","level":3,"score":0.5266000032424927},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5231999754905701},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5228000283241272},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5210000276565552},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46619999408721924},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.4296000003814697},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.39969998598098755},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.39649999141693115},{"id":"https://openalex.org/C43413943","wikidata":"https://www.wikidata.org/wiki/Q4927193","display_name":"Block graph","level":5,"score":0.38530001044273376},{"id":"https://openalex.org/C159246509","wikidata":"https://www.wikidata.org/wiki/Q5428725","display_name":"Factor graph","level":3,"score":0.35280001163482666},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.336899995803833},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.32850000262260437},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.323199987411499},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3174999952316284},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.30469998717308044},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30410000681877136},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.30149999260902405},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2797999978065491},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.2777000069618225},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.26460000872612},{"id":"https://openalex.org/C87117866","wikidata":"https://www.wikidata.org/wiki/Q7683664","display_name":"Tanner graph","level":5,"score":0.2639000117778778},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.25679999589920044},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2009.2034787","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2034787","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:arXiv.org:0804.0996","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0804.0996","pdf_url":"https://arxiv.org/pdf/0804.0996","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"},{"id":"pmh:oai:lup.lub.lu.se:978aaf56-0957-449c-805d-ac1ba3ad920e","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/1528522","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: 0018-9448","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0804.0996","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0804.0996","pdf_url":"https://arxiv.org/pdf/0804.0996","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1998549434","https://openalex.org/W2003090414","https://openalex.org/W2005457258","https://openalex.org/W2018112271","https://openalex.org/W2039544061","https://openalex.org/W2051569409","https://openalex.org/W2104336575","https://openalex.org/W2121606987","https://openalex.org/W2130458083","https://openalex.org/W2140163692","https://openalex.org/W2143911485","https://openalex.org/W2157272487","https://openalex.org/W2293231900","https://openalex.org/W2567264041","https://openalex.org/W3100522903","https://openalex.org/W4242536966","https://openalex.org/W4300188436","https://openalex.org/W6679608262"],"related_works":[],"abstract_inverted_index":{"<para":[0],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[1],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[2],"Constructions":[3],"of":[4,25,86,96],"woven":[5,87,104],"graph":[6,88,105],"codes":[7,14,27,53,81,89,132],"based":[8,28,113],"on":[9,29,47,63,114],"constituent":[10,124],"block":[11],"and":[12,58,67,78],"convolutional":[13,131],"are":[15,90],"studied.":[16],"It":[17],"is":[18,82,142],"shown":[19],"that":[20],"within":[21],"the":[22,48,55,59,64,68],"random":[23],"ensembles":[24],"such":[26],"<emphasis":[30,34,40,99,108,119,126,137],"emphasistype=\"italic\"><formula":[31,35,41,100,109,120,127,138],"formulatype=\"inline\"><tex":[32,36,101,110,121,128,139],"Notation=\"TeX\">$s$</tex></formula></emphasis>-partite,":[33],"Notation=\"TeX\">$s$</tex></formula></emphasis>-uniform":[37],"hypergraphs,":[38],"where":[39],"formulatype=\"inline\">":[42],"<tex":[43],"Notation=\"TeX\">$s$</tex></formula></emphasis>":[44],"depends":[45],"only":[46],"code":[49,106],"rate,":[50],"there":[51],"exist":[52],"satisfying":[54],"Gilbert\u2014Varshamov":[56],"(GV)":[57],"Costello":[60],"lower":[61],"bound":[62],"minimum":[65],"distance":[66],"free":[69],"distance,":[70],"respectively.":[71],"A":[72],"connection":[73],"between":[74],"regular":[75],"bipartite":[76,116],"graphs":[77],"tailbiting":[79],"(TB)":[80],"shown.":[83],"Some":[84],"examples":[85],"presented.":[91],"Among":[92],"them,":[93],"an":[94],"example":[95],"a":[97],"rate":[98,125],"Notation=\"TeX\">$R_{\\rm":[102],"wg}=1/3$</tex></formula></emphasis>":[103],"with":[107,133],"Notation=\"TeX\">$d_{\\rm":[111],"free}=32$</tex></formula></emphasis>":[112],"Heawood's":[115],"graph,":[117],"containing":[118],"Notation=\"TeX\">$n=7$</tex>":[122],"</formula></emphasis>":[123],"Notation=\"TeX\">$R^{\\rm":[129],"c}=2/3$</tex></formula></emphasis>":[130],"overall":[134],"constraint":[135],"lengths":[136],"Notation=\"TeX\">$\\nu^{\\rm":[140],"c}=5$</tex></formula></emphasis>,":[141],"given.":[143],"</para>":[144]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
