{"id":"https://openalex.org/W1673950838","doi":"https://doi.org/10.1109/isit.2015.7282491","title":"On the girth of (3,L) quasi-cyclic LDPC codes based on complete protographs","display_name":"On the girth of (3,L) quasi-cyclic LDPC codes based on complete protographs","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1673950838","doi":"https://doi.org/10.1109/isit.2015.7282491","mag":"1673950838"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282491","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1504.04975","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110941585","display_name":"Sudarsan V. S. Ranganathan","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sudarsan V. S. Ranganathan","raw_affiliation_strings":["Department of Electrical Engineering, University of California Los Angeles, Los Angeles, California","Department of Electrical Engineering, University of California, Los Angeles, 90095, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California Los Angeles, Los Angeles, California","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Los Angeles, 90095, USA#TAB#","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033923371","display_name":"D. Divsalar","orcid":"https://orcid.org/0000-0001-9176-3078"},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dariush Divsalar","raw_affiliation_strings":["Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California","Jet Propulsion Laboratory, California Institute of Technology, Pasadena, 91109, USA"],"affiliations":[{"raw_affiliation_string":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California","institution_ids":["https://openalex.org/I1334627681"]},{"raw_affiliation_string":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, 91109, USA","institution_ids":["https://openalex.org/I1334627681"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013185545","display_name":"Richard D. Wesel","orcid":"https://orcid.org/0000-0002-9139-8098"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard D. Wesel","raw_affiliation_strings":["Department of Electrical Engineering, University of California Los Angeles, Los Angeles, California","Department of Electrical Engineering, University of California, Los Angeles, 90095, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California Los Angeles, Los Angeles, California","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Los Angeles, 90095, USA#TAB#","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110941585"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":3.8626,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.93790543,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"431","last_page":"435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9965999722480774,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.792310357093811},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.6792964935302734},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5306434035301208},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33552008867263794},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3208620548248291},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29193249344825745},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.24281159043312073}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.792310357093811},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.6792964935302734},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5306434035301208},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33552008867263794},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3208620548248291},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29193249344825745},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.24281159043312073}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2015.7282491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282491","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1504.04975","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.04975","pdf_url":"https://arxiv.org/pdf/1504.04975","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:1504.04975","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.04975","pdf_url":"https://arxiv.org/pdf/1504.04975","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/W91277888","https://openalex.org/W219446931","https://openalex.org/W1575669909","https://openalex.org/W1667880265","https://openalex.org/W1673950838","https://openalex.org/W1973712217","https://openalex.org/W1973896237","https://openalex.org/W2008018301","https://openalex.org/W2029316744","https://openalex.org/W2119604283","https://openalex.org/W2128765501","https://openalex.org/W2133068391","https://openalex.org/W2143965786","https://openalex.org/W3098602947","https://openalex.org/W3125301056","https://openalex.org/W4300188436","https://openalex.org/W4388372706","https://openalex.org/W6603727012","https://openalex.org/W6608815102"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W4391375266","https://openalex.org/W2005341112","https://openalex.org/W2370232613","https://openalex.org/W2150639697","https://openalex.org/W2602611185","https://openalex.org/W2148630017","https://openalex.org/W2143011401","https://openalex.org/W2163532780","https://openalex.org/W2143965786"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,33,42,52,64,80],"problem":[3],"of":[4,59,82],"constructing":[5],"(3,L)":[6],"quasi-cyclic":[7,66],"low-density":[8],"parity-check":[9],"(LDPC)":[10],"codes":[11,67],"from":[12],"complete":[13,16],"protographs.":[14],"A":[15],"protograph":[17],"is":[18,36],"a":[19,46],"small":[20],"bipartite":[21],"graph":[22],"with":[23,68],"two":[24],"disjoint":[25],"vertex":[26,31,40],"sets":[27],"such":[28,83],"that":[29],"every":[30,39],"in":[32,41,63],"variable-node":[34],"set":[35,44],"connected":[37],"to":[38],"check-node":[43],"by":[45],"unique":[47],"edge.":[48],"This":[49],"paper":[50],"analyzes":[51],"required":[53,73],"lifting":[54,74],"factor":[55],"for":[56],"achieving":[57],"girths":[58],"six":[60],"or":[61],"eight":[62],"resulting":[65],"constraints":[69],"on":[70,79],"lifting.":[71],"The":[72],"factors":[75],"provide":[76],"lower":[77],"bounds":[78],"block-length":[81],"codes.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}