{"id":"https://openalex.org/W1985696868","doi":"https://doi.org/10.1109/itw.2012.6404692","title":"Bounds on the belief propagation threshold of non-binary LDPC codes","display_name":"Bounds on the belief propagation threshold of non-binary LDPC codes","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W1985696868","doi":"https://doi.org/10.1109/itw.2012.6404692","mag":"1985696868"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2012.6404692","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404692","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"},"type":"article","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/A5072051630","display_name":"Leonid Geller","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Leonid Geller","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","[School of Electrical Engineering, Tel-Aviv University, 69978, Israel]"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"[School of Electrical Engineering, Tel-Aviv University, 69978, Israel]","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007290326","display_name":"David Burshtein","orcid":"https://orcid.org/0000-0001-7255-1360"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"David Burshtein","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","[School of Electrical Engineering, Tel-Aviv University, 69978, Israel]"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"[School of Electrical Engineering, Tel-Aviv University, 69978, Israel]","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072051630"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09957874,"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":"357","last_page":"361"},"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":0.9976999759674072,"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":0.9951000213623047,"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":0.8590265512466431},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.808421790599823},{"id":"https://openalex.org/keywords/bhattacharyya-distance","display_name":"Bhattacharyya distance","score":0.7539184093475342},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.6788114309310913},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.625824511051178},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5909991264343262},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5798776745796204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5488237142562866},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.42450380325317383},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38744065165519714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3667447566986084},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07530266046524048},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.07513570785522461},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07428929209709167}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8590265512466431},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.808421790599823},{"id":"https://openalex.org/C24145651","wikidata":"https://www.wikidata.org/wiki/Q2901249","display_name":"Bhattacharyya distance","level":2,"score":0.7539184093475342},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.6788114309310913},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.625824511051178},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5909991264343262},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5798776745796204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5488237142562866},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.42450380325317383},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38744065165519714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3667447566986084},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07530266046524048},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.07513570785522461},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07428929209709167},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2012.6404692","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404692","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320337313","display_name":"Yitzhak and Chaya Weinstein Research Institute for Signal Processing, Tel Aviv University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1992687376","https://openalex.org/W2125566184","https://openalex.org/W2139012746","https://openalex.org/W2150917922","https://openalex.org/W2151937123","https://openalex.org/W2159337637","https://openalex.org/W2162681384","https://openalex.org/W2912673962"],"related_works":["https://openalex.org/W2740103650","https://openalex.org/W4307680413","https://openalex.org/W2963817320","https://openalex.org/W2011305240","https://openalex.org/W2493667298","https://openalex.org/W2885795561","https://openalex.org/W2101147641","https://openalex.org/W3080746295","https://openalex.org/W4312422976","https://openalex.org/W2356695932"],"abstract_inverted_index":{"We":[0],"consider":[1],"LDPC":[2,92],"code":[3],"ensembles":[4],"over":[5,13],"non-binary":[6,91],"Galois":[7],"fields,":[8],"when":[9],"used":[10],"for":[11,20,86],"transmission":[12],"arbitrary":[14],"memoryless":[15],"channels.":[16],"Belief":[17],"propagation":[18],"decoding":[19,33],"these":[21],"codes":[22],"has":[23],"been":[24],"shown":[25],"to":[26,44],"achieve":[27],"excellent":[28],"results.":[29],"However,":[30],"computing":[31],"the":[32,58,61,66,78,81],"threshold":[34],"using":[35],"density":[36],"evolution":[37,59],"is":[38],"usually":[39],"impractical,":[40],"since":[41],"one":[42],"needs":[43],"propagate":[45],"multi-dimensional":[46],"probability":[47],"distributions,":[48],"and":[49,65,89],"Monte":[50],"Carlo":[51],"simulations":[52],"are":[53],"required":[54],"instead.":[55],"By":[56],"considering":[57],"of":[60,80],"message":[62,67],"Bhattacharyya":[63],"parameter":[64,70],"expected":[68],"value":[69],"we":[71],"derive":[72],"a":[73],"simple":[74],"lower":[75],"bound":[76,84],"on":[77],"performance":[79],"algorithm.":[82],"This":[83],"applies":[85],"both":[87],"regular":[88],"irregular":[90],"ensembles.":[93]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}