{"id":"https://openalex.org/W2145005189","doi":"https://doi.org/10.1109/iswcs.2009.5285264","title":"Non-binary split LDPC codes defined over finite groups","display_name":"Non-binary split LDPC codes defined over finite groups","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2145005189","doi":"https://doi.org/10.1109/iswcs.2009.5285264","mag":"2145005189"},"language":"en","primary_location":{"id":"doi:10.1109/iswcs.2009.5285264","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iswcs.2009.5285264","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 6th International Symposium on Wireless Communication Systems","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009451105","display_name":"Bilal Shams","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104693","display_name":"STMicroelectronics (France)","ror":"https://ror.org/01c74sd89","country_code":"FR","type":"company","lineage":["https://openalex.org/I131827901","https://openalex.org/I4210104693"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bilal Shams","raw_affiliation_strings":["ETIS/ENSEA-UCP, Cergy-Pontoise, France","STMicroelectronics, Crolles, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETIS/ENSEA-UCP, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324"]},{"raw_affiliation_string":"STMicroelectronics, Crolles, France","institution_ids":["https://openalex.org/I4210104693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022930542","display_name":"David Declercq","orcid":"https://orcid.org/0000-0001-7645-7136"},"institutions":[{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Declercq","raw_affiliation_strings":["ETIS/ENSEA-UCP, Cergy-Pontoise, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETIS/ENSEA-UCP, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063068277","display_name":"Vincent Heinrich","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104693","display_name":"STMicroelectronics (France)","ror":"https://ror.org/01c74sd89","country_code":"FR","type":"company","lineage":["https://openalex.org/I131827901","https://openalex.org/I4210104693"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Heinrich","raw_affiliation_strings":["STMicroelectronics, Crolles, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"STMicroelectronics, Crolles, France","institution_ids":["https://openalex.org/I4210104693"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3629,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6734082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"493","last_page":"497"},"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":0.9986000061035156,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.8063333034515381},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7719336748123169},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.6465238332748413},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.58702552318573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5857483148574829},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5634384751319885},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.48305946588516235},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.48007732629776},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.4709288477897644},{"id":"https://openalex.org/keywords/tanner-graph","display_name":"Tanner graph","score":0.44639524817466736},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.44331398606300354},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.44024646282196045},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4108677804470062},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3802131414413452},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.24640387296676636},{"id":"https://openalex.org/keywords/error-floor","display_name":"Error floor","score":0.24585884809494019},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.23764243721961975},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.22224515676498413}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8063333034515381},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7719336748123169},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.6465238332748413},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.58702552318573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5857483148574829},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5634384751319885},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.48305946588516235},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.48007732629776},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.4709288477897644},{"id":"https://openalex.org/C87117866","wikidata":"https://www.wikidata.org/wiki/Q7683664","display_name":"Tanner graph","level":5,"score":0.44639524817466736},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.44331398606300354},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.44024646282196045},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4108677804470062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3802131414413452},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.24640387296676636},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.24585884809494019},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.23764243721961975},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.22224515676498413},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iswcs.2009.5285264","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iswcs.2009.5285264","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 6th International Symposium on Wireless Communication Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.800000011920929,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W2006590270","https://openalex.org/W2066640913","https://openalex.org/W2107832271","https://openalex.org/W2128765501","https://openalex.org/W2165968550","https://openalex.org/W2166978909","https://openalex.org/W2173776306","https://openalex.org/W2205365368","https://openalex.org/W2533404701","https://openalex.org/W4285719527","https://openalex.org/W6688066700","https://openalex.org/W6728443868"],"related_works":["https://openalex.org/W2090897912","https://openalex.org/W4206131153","https://openalex.org/W1526609637","https://openalex.org/W2150639697","https://openalex.org/W3087284767","https://openalex.org/W2122913048","https://openalex.org/W2996745071","https://openalex.org/W4302175014","https://openalex.org/W2952823298","https://openalex.org/W2160848826"],"abstract_inverted_index":{"In":[0,85],"this":[1],"paper,":[2],"we":[3,70,97],"propose":[4],"a":[5,50,89],"practically":[6,95],"implementable":[7],"decoding":[8,23,127],"algorithm":[9,24],"for":[10],"split":[11],"LDPC":[12],"codes":[13],"with":[14],"parity":[15,67],"constraints":[16],"defined":[17],"over":[18],"finite":[19],"groups.":[20],"The":[21],"proposed":[22],"generalizes":[25],"the":[26,29,44,62,66,72,99,104,116],"orders":[27],"of":[28,40,53,57,65],"variable":[30],"and":[31,83,107],"check":[32,68,105],"nodes":[33,106],"such":[34],"that":[35],"it":[36],"may":[37],"have":[38,88],"messages":[39,79,101],"different":[41],"order":[42,78,82,86],"at":[43,103],"various":[45],"nodes.":[46],"This":[47],"gives":[48],"us":[49],"further":[51],"degree":[52],"freedom":[54],"in":[55,115],"terms":[56],"better":[58],"code":[59],"construction.":[60],"Using":[61],"binary":[63],"image":[64],"matrix,":[69],"define":[71],"function":[73],"node":[74],"which":[75,93],"maps":[76],"lower":[77],"to":[80,87,122],"higher":[81],"vice-versa.":[84],"reduced":[90],"complexity":[91,126],"decoder":[92],"is":[94],"implementable,":[96],"use":[98],"truncated":[100],"concept":[102],"evaluate":[108],"its":[109],"performance.":[110],"We":[111],"show":[112],"improved":[113],"performance":[114],"error":[117],"floor":[118],"region":[119],"as":[120],"compared":[121],"other":[123],"non-split":[124],"low":[125],"algorithms.":[128]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
