{"id":"https://openalex.org/W3182847896","doi":"https://doi.org/10.1109/isit50566.2022.9834826","title":"Trade-Based LDPC Codes","display_name":"Trade-Based LDPC Codes","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W3182847896","doi":"https://doi.org/10.1109/isit50566.2022.9834826","mag":"3182847896"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834826","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834826","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2107.07466","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013665111","display_name":"Farzane Amirzade","orcid":"https://orcid.org/0000-0002-8665-7921"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Farzane Amirzade","raw_affiliation_strings":["Carleton University,School of Mathematics and Statistics"],"affiliations":[{"raw_affiliation_string":"Carleton University,School of Mathematics and Statistics","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017417125","display_name":"Daniel Panario","orcid":"https://orcid.org/0000-0003-3551-4063"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Daniel Panario","raw_affiliation_strings":["Carleton University,School of Mathematics and Statistics","Carleton University"],"affiliations":[{"raw_affiliation_string":"Carleton University,School of Mathematics and Statistics","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"Carleton University","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006707476","display_name":"Mohammad\u2010Reza Sadeghi","orcid":"https://orcid.org/0000-0002-7676-4168"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad-Reza Sadeghi","raw_affiliation_strings":["Amirkabir University of Technology (Tehran Polytechnic),Department of Mathematics and Computer Science","Amirkabir\u00a0University\u00a0of\u00a0Technology"],"affiliations":[{"raw_affiliation_string":"Amirkabir University of Technology (Tehran Polytechnic),Department of Mathematics and Computer Science","institution_ids":["https://openalex.org/I158248296"]},{"raw_affiliation_string":"Amirkabir\u00a0University\u00a0of\u00a0Technology","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013665111"],"corresponding_institution_ids":["https://openalex.org/I67031392"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00055325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"542","last_page":"547"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9975000023841858,"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/T12029","display_name":"DNA and Biological Computing","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.9168612957000732},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.6769202947616577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5870680809020996},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.5745917558670044},{"id":"https://openalex.org/keywords/tanner-graph","display_name":"Tanner graph","score":0.4943373203277588},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4909060597419739},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.45907163619995117},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4364805817604065},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.413273423910141},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.357371062040329},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35506463050842285},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3168830871582031},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2961564362049103},{"id":"https://openalex.org/keywords/error-floor","display_name":"Error floor","score":0.1274586319923401}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.9168612957000732},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.6769202947616577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5870680809020996},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.5745917558670044},{"id":"https://openalex.org/C87117866","wikidata":"https://www.wikidata.org/wiki/Q7683664","display_name":"Tanner graph","level":5,"score":0.4943373203277588},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4909060597419739},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.45907163619995117},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4364805817604065},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.413273423910141},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.357371062040329},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35506463050842285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3168830871582031},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2961564362049103},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.1274586319923401},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit50566.2022.9834826","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834826","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2107.07466","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.07466","pdf_url":"https://arxiv.org/pdf/2107.07466","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":"text"},{"id":"mag:3182847896","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2107.07466","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.2107.07466","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2107.07466","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:2107.07466","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.07466","pdf_url":"https://arxiv.org/pdf/2107.07466","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":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.49000000953674316}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W87541358","https://openalex.org/W628021441","https://openalex.org/W1515702150","https://openalex.org/W1527118935","https://openalex.org/W1545217175","https://openalex.org/W1897775579","https://openalex.org/W1965142549","https://openalex.org/W1973712217","https://openalex.org/W2012378218","https://openalex.org/W2021864536","https://openalex.org/W2042152221","https://openalex.org/W2044078862","https://openalex.org/W2067501233","https://openalex.org/W2119990840","https://openalex.org/W2123119950","https://openalex.org/W2128765501","https://openalex.org/W2130255084","https://openalex.org/W2133068391","https://openalex.org/W2164164623","https://openalex.org/W2400908863","https://openalex.org/W2753077665","https://openalex.org/W2771023700","https://openalex.org/W2800671838","https://openalex.org/W2807007057","https://openalex.org/W2917426316","https://openalex.org/W2945033151","https://openalex.org/W2953636720","https://openalex.org/W2955764289","https://openalex.org/W2963703579","https://openalex.org/W2998389098","https://openalex.org/W3000741554","https://openalex.org/W3100979663","https://openalex.org/W3198631867","https://openalex.org/W4205306133","https://openalex.org/W6766122461"],"related_works":["https://openalex.org/W2371640115","https://openalex.org/W2807007057","https://openalex.org/W2380984835","https://openalex.org/W2105150385","https://openalex.org/W2911143380","https://openalex.org/W2370168399","https://openalex.org/W3198631867","https://openalex.org/W2780707917","https://openalex.org/W2128774782","https://openalex.org/W3164144678","https://openalex.org/W2617717465","https://openalex.org/W2201739330","https://openalex.org/W2248046521","https://openalex.org/W2148071282","https://openalex.org/W2550222152","https://openalex.org/W2349987644","https://openalex.org/W2964138646","https://openalex.org/W232610431","https://openalex.org/W2155869205","https://openalex.org/W2902771059"],"abstract_inverted_index":{"LDPC":[0,56,76],"codes":[1,118],"based":[2,60],"on":[3,61,123],"multi-edge":[4,73,87],"protographs":[5],"potentially":[6],"have":[7],"larger":[8],"minimum":[9],"distances":[10],"compared":[11],"to":[12,49,71,82,95],"their":[13,22],"counterparts,":[14],"single-edge":[15,41],"protographs.":[16,42,88],"However,":[17],"considering":[18],"different":[19],"features":[20],"of":[21,54,86,91],"Tanner":[23,38],"graph,":[24],"such":[25],"as":[26],"short":[27],"cycles,":[28],"girth":[29],"and":[30],"other":[31],"graphical":[32],"structures,":[33],"is":[34,59],"harder":[35],"than":[36,102,127],"for":[37],"graphs":[39],"from":[40,64],"Here,":[43],"we":[44],"provide":[45],"a":[46],"novel":[47],"approach":[48],"construct":[50,72],"the":[51,103,107,124],"parity-check":[52],"matrix":[53],"an":[55],"code":[57],"which":[58],"trades":[62],"obtained":[63],"block":[65],"designs.":[66],"We":[67,109],"employ":[68],"our":[69],"method":[70],"quasi-cyclic":[74],"(QC)":[75],"codes.We":[77],"use":[78],"those":[79],"trade-based":[80],"matrices":[81,85,93,98,114],"define":[83],"base":[84,97,113],"The":[89],"construction":[90],"exponent":[92],"corresponding":[94],"these":[96,112],"has":[99],"less":[100],"complexity":[101],"ones":[104],"proposed":[105],"in":[106,116],"literature.":[108],"prove":[110],"that":[111],"result":[115],"QC-LDPC":[117],"with":[119],"smaller":[120],"lower":[121],"bounds":[122],"lifting":[125],"degree":[126],"existing":[128],"ones.":[129]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
