{"id":"https://openalex.org/W2065881510","doi":"https://doi.org/10.1109/tsp.2014.2349878","title":"Improved Iterative Hard- and Soft-Reliability Based Majority-Logic Decoding Algorithms for Non-Binary Low-Density Parity-Check Codes","display_name":"Improved Iterative Hard- and Soft-Reliability Based Majority-Logic Decoding Algorithms for Non-Binary Low-Density Parity-Check Codes","publication_year":2014,"publication_date":"2014-08-20","ids":{"openalex":"https://openalex.org/W2065881510","doi":"https://doi.org/10.1109/tsp.2014.2349878","mag":"2065881510"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2014.2349878","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2349878","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1408.3357","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045362410","display_name":"Chenrong Xiong","orcid":"https://orcid.org/0000-0002-1053-9929"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chenrong Xiong","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Lehigh University, PA, USA","Department of Electrical and Computer Engineering, Lehigh University, Bethlehem, PA 18015, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Lehigh University, PA, USA","institution_ids":["https://openalex.org/I186143895"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Lehigh University, Bethlehem, PA 18015, USA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101582861","display_name":"Zhiyuan Yan","orcid":"https://orcid.org/0000-0003-2286-2771"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhiyuan Yan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Lehigh University, PA, USA","Department of Electrical and Computer Engineering, Lehigh University, Bethlehem, PA 18015, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Lehigh University, PA, USA","institution_ids":["https://openalex.org/I186143895"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Lehigh University, Bethlehem, PA 18015, USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I186143895"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":3.7538,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.9368303,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"62","issue":"20","first_page":"5449","last_page":"5457"},"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":0.9957000017166138,"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":0.9954000115394592,"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":0.8097114562988281},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7775298953056335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6730844378471375},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.6346724629402161},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.5484106540679932},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5054891109466553},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.4851308763027191},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.4738141596317291},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.47185420989990234},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.44286710023880005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39617836475372314},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3406711220741272},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.28008323907852173},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2372680902481079},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.22450262308120728},{"id":"https://openalex.org/keywords/error-floor","display_name":"Error floor","score":0.0834951400756836}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8097114562988281},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7775298953056335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6730844378471375},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.6346724629402161},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.5484106540679932},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5054891109466553},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.4851308763027191},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.4738141596317291},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47185420989990234},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.44286710023880005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39617836475372314},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3406711220741272},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.28008323907852173},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2372680902481079},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.22450262308120728},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.0834951400756836},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2014.2349878","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2349878","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1408.3357","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.3357","pdf_url":"https://arxiv.org/pdf/1408.3357","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:CiteSeerX.psu:10.1.1.759.628","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.759.628","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1408.3357.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1408.3357","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.3357","pdf_url":"https://arxiv.org/pdf/1408.3357","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1484354944","https://openalex.org/W1484692004","https://openalex.org/W1571565904","https://openalex.org/W2009027942","https://openalex.org/W2038267747","https://openalex.org/W2046073577","https://openalex.org/W2062062084","https://openalex.org/W2065881510","https://openalex.org/W2076097668","https://openalex.org/W2095882513","https://openalex.org/W2098318905","https://openalex.org/W2102986410","https://openalex.org/W2109866575","https://openalex.org/W2111707265","https://openalex.org/W2111720680","https://openalex.org/W2117869649","https://openalex.org/W2119001152","https://openalex.org/W2122079707","https://openalex.org/W2126225729","https://openalex.org/W2127490352","https://openalex.org/W2128765501","https://openalex.org/W2138602800","https://openalex.org/W2142490958","https://openalex.org/W2143687662","https://openalex.org/W2144024329","https://openalex.org/W2144843341","https://openalex.org/W2153049761","https://openalex.org/W2156938362","https://openalex.org/W2161057417","https://openalex.org/W2171060285","https://openalex.org/W2173776306","https://openalex.org/W2963609335","https://openalex.org/W3149174425","https://openalex.org/W4236026681","https://openalex.org/W4256180364","https://openalex.org/W4256648168","https://openalex.org/W4285719527","https://openalex.org/W4300188436","https://openalex.org/W6628810906","https://openalex.org/W6675024586","https://openalex.org/W6680574282","https://openalex.org/W6793312654"],"related_works":["https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W2370284973","https://openalex.org/W2028976748","https://openalex.org/W2050784748","https://openalex.org/W2383267581","https://openalex.org/W2102627024","https://openalex.org/W2182594114","https://openalex.org/W2085052822","https://openalex.org/W2357077655"],"abstract_inverted_index":{"Non-binary":[0],"low-density":[1],"parity-check":[2],"(LDPC)":[3],"codes":[4,127],"have":[5,52,121,132],"some":[6],"advantages":[7],"over":[8],"their":[9,14],"binary":[10],"counterparts,":[11],"but":[12,108],"unfortunately":[13],"decoding":[15,28,69,82,117],"complexity":[16,55],"is":[17,87,139],"a":[18,88,122,140],"significant":[19],"challenge.":[20],"The":[21,93],"iterative":[22],"hard-":[23],"and":[24,43,103,158,169],"soft-reliability":[25],"based":[26],"majority-logic":[27,68,81,116],"algorithms":[29,118],"are":[30],"attractive":[31],"for":[32,126],"nonbinary":[33],"LDPC":[34],"codes,":[35],"since":[36],"they":[37],"involve":[38],"only":[39,97],"finite":[40,155],"field":[41,156],"additions":[42],"multiplications":[44],"as":[45,47],"well":[46],"integer":[48,159],"operations":[49,157],"and,":[50],"hence,":[51],"significantly":[53],"lower":[54,147],"than":[56],"other":[57],"algorithms.":[58,70],"In":[59],"this":[60],"paper,":[61],"we":[62],"propose":[63],"two":[64],"improvements":[65],"to":[66,120,145],"the":[67,73,79,151],"Instead":[71],"of":[72,75,153],"accumulation":[74],"reliability":[76,90,171],"information":[77,91],"in":[78,99],"existing":[80,115],"algorithms,":[83],"our":[84,136],"first":[85],"improvement":[86,138],"new":[89,94],"update.":[92],"update":[95],"not":[96],"results":[98],"better":[100],"error":[101,124,148],"performance":[102],"fewer":[104],"iterations":[105],"on":[106],"average,":[107],"also":[109],"further":[110],"reduces":[111],"computational":[112],"complexity.":[113],"Since":[114],"tend":[119],"high":[123],"floor":[125],"whose":[128],"parity":[129],"check":[130],"matrices":[131],"low":[133],"column":[134],"weights,":[135],"second":[137],"reselection":[141],"scheme,":[142],"which":[143],"leads":[144],"much":[146],"floors,":[149],"at":[150],"expense":[152],"more":[154],"operations,":[160],"by":[161],"identifying":[162],"periodic":[163],"points,":[164],"reselecting":[165],"intermediate":[166],"hard":[167],"decisions,":[168],"changing":[170],"information.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}