{"id":"https://openalex.org/W1733829830","doi":"https://doi.org/10.1109/tit.2015.2438716","title":"On Coset Leader Graphs of LDPC Codes","display_name":"On Coset Leader Graphs of LDPC Codes","publication_year":2015,"publication_date":"2015-06-03","ids":{"openalex":"https://openalex.org/W1733829830","doi":"https://doi.org/10.1109/tit.2015.2438716","mag":"1733829830"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2438716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2438716","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1402.5051","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062012957","display_name":"Eran Iceland","orcid":"https://orcid.org/0000-0002-2126-3526"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Eran Iceland","raw_affiliation_strings":["School of Engineering and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel","School of Eng. and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"School of Eng. and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004360801","display_name":"Alex Samorodnitsky","orcid":"https://orcid.org/0000-0001-8643-7948"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alex Samorodnitsky","raw_affiliation_strings":["School of Engineering and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel","School of Eng. and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"School of Eng. and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062012957"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05147667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"61","issue":"8","first_page":"4158","last_page":"4163"},"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":0.9991000294685364,"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":0.9980000257492065,"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/coset","display_name":"Coset","score":0.8053258657455444},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.7155511379241943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6417418718338013},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5801652669906616},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5039555430412292},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49112388491630554},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.44692960381507874},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4367886185646057},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4271929860115051},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.42148858308792114},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.41260412335395813},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22542744874954224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.215254545211792},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.19381961226463318},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.05205640196800232}],"concepts":[{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.8053258657455444},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.7155511379241943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6417418718338013},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5801652669906616},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5039555430412292},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49112388491630554},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.44692960381507874},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4367886185646057},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4271929860115051},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.42148858308792114},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.41260412335395813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22542744874954224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.215254545211792},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19381961226463318},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.05205640196800232},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2015.2438716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2438716","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:1402.5051","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.5051","pdf_url":"https://arxiv.org/pdf/1402.5051","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":"","raw_type":null},{"id":"mag:1733829830","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1402.5051v2","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1402.5051","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1402.5051","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1402.5051","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.5051","pdf_url":"https://arxiv.org/pdf/1402.5051","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":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2894355452","display_name":null,"funder_award_id":"1241/11","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G5659017969","display_name":null,"funder_award_id":"241/11","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G6967680648","display_name":null,"funder_award_id":"41/11","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1733829830.pdf","grobid_xml":"https://content.openalex.org/works/W1733829830.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W1606480398","https://openalex.org/W1976543297","https://openalex.org/W2109084006","https://openalex.org/W2128765501","https://openalex.org/W2131486878","https://openalex.org/W2159887350","https://openalex.org/W4300188436","https://openalex.org/W6604469142"],"related_works":["https://openalex.org/W2964054932","https://openalex.org/W1674043613","https://openalex.org/W2079767843","https://openalex.org/W2563971734","https://openalex.org/W2766124948","https://openalex.org/W3105846895","https://openalex.org/W2081749849","https://openalex.org/W2750645631","https://openalex.org/W2020483514","https://openalex.org/W2142991848","https://openalex.org/W2137806147","https://openalex.org/W3105533917","https://openalex.org/W2155239411","https://openalex.org/W2032212105","https://openalex.org/W2360027676","https://openalex.org/W2800671838","https://openalex.org/W1590211799","https://openalex.org/W1974991315","https://openalex.org/W2567264041","https://openalex.org/W2754298299"],"abstract_inverted_index":{"Our":[0],"main":[1],"technical":[2],"result":[3],"is":[4],"that,":[5],"in":[6,32,90],"the":[7,20,36,49,55,64,75,82],"coset":[8],"leader":[9],"graph":[10],"of":[11,16,38,57,66,77,94],"a":[12,91],"linear":[13,51],"binary":[14],"code":[15],"block":[17],"length":[18],"n,":[19],"metric":[21],"balls":[22],"spanned":[23],"by":[24],"constant-weight":[25],"vectors":[26],"grow":[27],"exponentially":[28],"slower":[29],"than":[30],"those":[31],"(0,":[33],"11n.":[34],"Following":[35],"approach":[37],"Friedman":[39],"and":[40,79],"Tillich,":[41],"we":[42],"use":[43],"this":[44],"fact":[45],"to":[46],"improve":[47],"on":[48,54],"first":[50],"programming":[52],"bound":[53],"rate":[56,83],"low-density":[58],"parity":[59],"check":[60],"(LDPC)":[61],"codes,":[62],"as":[63],"function":[65],"their":[67],"minimal":[68],"relative":[69,95],"distance.":[70],"This":[71],"improvement,":[72],"combined":[73],"with":[74],"techniques":[76],"Ben-Haim":[78],"Litsyn,":[80],"improves":[81],"versus":[84],"distance":[85],"bounds":[86],"for":[87],"LDPC":[88],"codes":[89],"significant":[92],"subrange":[93],"distances.":[96]},"counts_by_year":[],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}