{"id":"https://openalex.org/W2226871702","doi":"https://doi.org/10.1109/tit.2016.2545679","title":"Iterative Decoding of LDPC Codes Over the $q$ -Ary Partial Erasure Channel","display_name":"Iterative Decoding of LDPC Codes Over the $q$ -Ary Partial Erasure Channel","publication_year":2016,"publication_date":"2016-03-23","ids":{"openalex":"https://openalex.org/W2226871702","doi":"https://doi.org/10.1109/tit.2016.2545679","mag":"2226871702"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2545679","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2545679","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/1510.05311","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020891994","display_name":"Rami Cohen","orcid":"https://orcid.org/0000-0002-9152-8446"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Rami Cohen","raw_affiliation_strings":["Department of Electrical Engineering, Technion\u2013Israel Institute of Technology, Haifa, Israel","Department of Electrical Engineering , Technion\u2014Israel Institute of Technology , Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion\u2013Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering , Technion\u2014Israel Institute of Technology , Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063057008","display_name":"Yuval Cassuto","orcid":"https://orcid.org/0000-0001-6369-6699"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yuval Cassuto","raw_affiliation_strings":["Department of Electrical Engineering, Technion\u2013Israel Institute of Technology, Haifa, Israel","Department of Electrical Engineering , Technion\u2014Israel Institute of Technology , Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion\u2013Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering , Technion\u2014Israel Institute of Technology , Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00448311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"5","first_page":"2658","last_page":"2672"},"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":0.9927999973297119,"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":0.9912999868392944,"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":0.8254292607307434},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.7578281164169312},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7522673606872559},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.7031190395355225},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6358060836791992},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6116708517074585},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5948898196220398},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5806395411491394},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.5107014775276184},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.4235895872116089},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41778963804244995},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3668510913848877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31526827812194824},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2994617819786072},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.2811480462551117},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17660626769065857}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8254292607307434},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.7578281164169312},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7522673606872559},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.7031190395355225},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6358060836791992},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6116708517074585},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5948898196220398},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5806395411491394},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.5107014775276184},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.4235895872116089},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41778963804244995},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3668510913848877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31526827812194824},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2994617819786072},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.2811480462551117},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17660626769065857},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"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.2016.2545679","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2545679","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:1510.05311","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.05311","pdf_url":"https://arxiv.org/pdf/1510.05311","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:2226871702","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1510.05311","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.1510.05311","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1510.05311","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:1510.05311","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.05311","pdf_url":"https://arxiv.org/pdf/1510.05311","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320947","display_name":"German-Israeli Foundation for Scientific Research and Development","ror":"https://ror.org/00tntzp09"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320323706","display_name":"Ministry of Science and Technology, Israel","ror":"https://ror.org/02heb2n75"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2226871702.pdf","grobid_xml":"https://content.openalex.org/works/W2226871702.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W47583838","https://openalex.org/W99813126","https://openalex.org/W186143519","https://openalex.org/W1536930200","https://openalex.org/W1595409123","https://openalex.org/W1996963858","https://openalex.org/W2020740707","https://openalex.org/W2022430741","https://openalex.org/W2030239329","https://openalex.org/W2085021014","https://openalex.org/W2099753358","https://openalex.org/W2118420528","https://openalex.org/W2119001152","https://openalex.org/W2125566184","https://openalex.org/W2126259959","https://openalex.org/W2127490352","https://openalex.org/W2128765501","https://openalex.org/W2133068391","https://openalex.org/W2169732368","https://openalex.org/W2171888576","https://openalex.org/W2173776306","https://openalex.org/W2899702797","https://openalex.org/W2912209775","https://openalex.org/W4300188436"],"related_works":["https://openalex.org/W2963501428","https://openalex.org/W2950818277","https://openalex.org/W2048562151","https://openalex.org/W2962911078","https://openalex.org/W1525070854","https://openalex.org/W2532074002","https://openalex.org/W1945304109","https://openalex.org/W2502955786","https://openalex.org/W2743972907","https://openalex.org/W1967708377","https://openalex.org/W1833142888","https://openalex.org/W2035658183","https://openalex.org/W223727341","https://openalex.org/W2180891895","https://openalex.org/W2800971438","https://openalex.org/W2100465297","https://openalex.org/W2071509230","https://openalex.org/W2069151199","https://openalex.org/W1603007618","https://openalex.org/W2129845019"],"abstract_inverted_index":{"In":[0,97],"this":[1,136],"paper,":[2],"we":[3,10,187],"develop":[4],"a":[5,21,33,51,62,105,114,161,165],"new":[6],"channel":[7,16,48,57,67,88],"model,":[8],"which":[9,110],"name":[11],"the":[12,29,44,54,66,74,100,118,126,149,156,175,191,200],"q-ary":[13,22],"partial":[14,115],"erasure":[15,56],"(QPEC).":[17],"The":[18],"QPEC":[19,151],"has":[20],"input,":[23],"and":[24,58,159,172,179],"its":[25],"output":[26,64,75],"is":[27,68,81,89,102,123],"either":[28],"input":[30,45],"symbol":[31,63,76],"or":[32],"set":[34],"of":[35,87,107,117,128,194],"M":[36,39],"(2":[37],"\u2264":[38,40],"q)":[41],"symbols,":[42],"containing":[43],"symbol.":[46],"This":[47,85],"serves":[49],"as":[50,164],"generalization":[52],"to":[53,139],"binary":[55],"mimics":[59],"situations":[60],"when":[61,133],"from":[65],"known":[69],"only":[70],"partially;":[71],"that":[72,154],"is,":[73],"contains":[77],"some":[78],"ambiguity,":[79],"but":[80],"not":[82],"fully":[83],"erased.":[84],"type":[86],"motivated":[90],"by":[91,104],"non-volatile":[92],"memory":[93],"multi-level":[94],"read":[95],"channels.":[96],"such":[98],"channels,":[99],"readout":[101],"obtained":[103],"sequence":[106],"current/voltage":[108],"measurements,":[109],"may":[111],"terminate":[112],"with":[113],"knowledge":[116],"stored":[119],"level.":[120],"Our":[121],"investigation":[122],"concentrated":[124],"on":[125,174],"performance":[127],"low-density":[129],"parity-check":[130],"(LDPC)":[131],"codes":[132,196],"used":[134],"over":[135,199],"channel,":[137],"thanks":[138],"their":[140,181],"low":[141],"decoding":[142,157],"complexity":[143],"using":[144],"belief":[145],"propagation.":[146],"We":[147,167],"provide":[148,169,188],"exact":[150],"density-evolution":[152],"equations":[153],"govern":[155],"process,":[158],"suggest":[160],"cardinality-based":[162],"approximation":[163],"proxy.":[166],"then":[168],"several":[170],"bounds":[171],"approximations":[173],"proxy":[176],"density":[177],"evolutions,":[178],"verify":[180],"tightness":[182],"through":[183],"numerical":[184],"experiments.":[185],"Finally,":[186],"tools":[189],"for":[190,197],"practical":[192],"design":[193],"LDPC":[195],"use":[198],"QPEC.":[201]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}