{"id":"https://openalex.org/W4411235637","doi":"https://doi.org/10.3390/e27060626","title":"Threshold Successive Cancellation Flip Decoding Algorithm for Polar Codes: Design and Performance","display_name":"Threshold Successive Cancellation Flip Decoding Algorithm for Polar Codes: Design and Performance","publication_year":2025,"publication_date":"2025-06-12","ids":{"openalex":"https://openalex.org/W4411235637","doi":"https://doi.org/10.3390/e27060626","pmid":"https://pubmed.ncbi.nlm.nih.gov/40566213"},"language":"en","primary_location":{"id":"doi:10.3390/e27060626","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060626","pdf_url":"https://www.mdpi.com/1099-4300/27/6/626/pdf?version=1749738638","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/27/6/626/pdf?version=1749738638","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058063587","display_name":"Z. Q. Liu","orcid":"https://orcid.org/0009-0006-0419-3876"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhicheng Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":"https://orcid.org/0009-0006-0419-3876","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102617548","display_name":"Liuquan Yao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liuquan Yao","raw_affiliation_strings":["University of Chinese Academy of Sciences, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China"],"raw_orcid":"https://orcid.org/0009-0008-2382-9918","affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113317715","display_name":"Shuai Yuan","orcid":"https://orcid.org/0009-0000-8137-8918"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Yuan","raw_affiliation_strings":["University of Chinese Academy of Sciences, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China"],"raw_orcid":"https://orcid.org/0009-0000-8137-8918","affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108430975","display_name":"Guiying Yan","orcid":"https://orcid.org/0000-0002-4477-824X"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guiying Yan","raw_affiliation_strings":["University of Chinese Academy of Sciences, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101199494","display_name":"Zhi-Ming Ma","orcid":"https://orcid.org/0000-0003-1169-7627"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiming Ma","raw_affiliation_strings":["University of Chinese Academy of Sciences, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China"],"raw_orcid":"https://orcid.org/0000-0003-1169-7627","affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027645632","display_name":"Yuting Liu","orcid":"https://orcid.org/0000-0002-3707-982X"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuting Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":"https://orcid.org/0000-0002-3707-982X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5027645632"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.197,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.80626177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"27","issue":"6","first_page":"626","last_page":"626"},"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":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.8141044974327087},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6911383271217346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6658976674079895},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5744062066078186},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5127195119857788},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.4699347913265228},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4499068856239319},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.20631641149520874},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09870579838752747},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.09773483872413635}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.8141044974327087},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6911383271217346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6658976674079895},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5744062066078186},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5127195119857788},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.4699347913265228},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4499068856239319},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.20631641149520874},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09870579838752747},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.09773483872413635},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e27060626","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060626","pdf_url":"https://www.mdpi.com/1099-4300/27/6/626/pdf?version=1749738638","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:40566213","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40566213","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:febb85bf17fe4bdf9320e0a385a921f9","is_oa":true,"landing_page_url":"https://doaj.org/article/febb85bf17fe4bdf9320e0a385a921f9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 27, Iss 6, p 626 (2025)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12191772","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12191772","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e27060626","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060626","pdf_url":"https://www.mdpi.com/1099-4300/27/6/626/pdf?version=1749738638","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3445483680","display_name":null,"funder_award_id":"2023YFA1009601","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411235637.pdf","grobid_xml":"https://content.openalex.org/works/W4411235637.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1981735015","https://openalex.org/W2033234285","https://openalex.org/W2090786588","https://openalex.org/W2105831729","https://openalex.org/W2106045225","https://openalex.org/W2106864314","https://openalex.org/W2115602633","https://openalex.org/W2144135849","https://openalex.org/W2150498905","https://openalex.org/W2163509114","https://openalex.org/W2284321898","https://openalex.org/W2339155381","https://openalex.org/W2476510588","https://openalex.org/W2595493241","https://openalex.org/W2753878108","https://openalex.org/W2775761081","https://openalex.org/W2886581636","https://openalex.org/W2963389341","https://openalex.org/W2964036582","https://openalex.org/W2977760468","https://openalex.org/W3006023890","https://openalex.org/W3016073191","https://openalex.org/W3100168442","https://openalex.org/W4300840296","https://openalex.org/W4409461316"],"related_works":["https://openalex.org/W2365048703","https://openalex.org/W2029144766","https://openalex.org/W3017203753","https://openalex.org/W2348545647","https://openalex.org/W2385322349","https://openalex.org/W2357077655","https://openalex.org/W4205451769","https://openalex.org/W4289713215","https://openalex.org/W2089275957","https://openalex.org/W2052976169"],"abstract_inverted_index":{"In":[0],"this":[1,89],"paper,":[2],"we":[3],"propose":[4],"the":[5,18,21,35,40,44,59,66,80,92,97,115,123,168],"threshold":[6,152],"successive":[7],"cancellation":[8],"flip":[9,69,105,172],"(Th-SCF)":[10],"decoding":[11,53,107,173],"algorithm":[12,61,131],"for":[13,82,167],"polar":[14],"codes,":[15],"which":[16],"enhances":[17],"performance":[19,63,116,134,146],"of":[20,88,126,139,170],"SC":[22,45,68,104],"decoder":[23,46],"while":[24],"maintaining":[25],"low":[26],"complexity.":[27],"Theoretical":[28],"analysis":[29],"reveals":[30],"that":[31,58],"Th-SCF":[32,60,98,130],"asymptotically":[33],"delays":[34],"first":[36,41],"error":[37],"position":[38],"(FEP,":[39],"part":[42],"where":[43],"fails)":[47],"with":[48,73],"probability":[49],"1,":[50],"ensuring":[51],"high":[52],"performance.":[54],"Simulation":[55],"results":[56,163],"show":[57],"achieves":[62],"comparable":[64],"to":[65],"dynamic":[67],"(D-SCF)":[70],"algorithm,":[71,99],"but":[72,118],"a":[74,136,150],"reduction":[75],"in":[76,158,175],"complexity":[77],"by":[78],"eliminating":[79],"need":[81],"sorting":[83],"operations.":[84],"A":[85],"key":[86],"contribution":[87],"work":[90],"is":[91],"rigorous":[93],"theoretical":[94,110],"framework":[95],"supporting":[96],"distinguishing":[100],"it":[101],"from":[102],"existing":[103],"(SCF)":[106],"methods.":[108],"This":[109],"foundation":[111],"not":[112],"only":[113],"explains":[114],"improvements":[117],"also":[119],"provides":[120],"insights":[121],"into":[122],"underlying":[124],"mechanisms":[125],"flipping.":[127],"The":[128],"proposed":[129],"demonstrates":[132],"strong":[133],"across":[135],"wide":[137],"range":[138],"code":[140],"lengths":[141],"and":[142,144,177],"rates,":[143],"its":[145,155],"remains":[147],"stable":[148],"within":[149],"certain":[151],"range,":[153],"indicating":[154],"practical":[156],"applicability":[157],"real-world":[159],"communication":[160],"systems.":[161],"These":[162],"offer":[164],"valuable":[165],"perspectives":[166],"design":[169],"efficient":[171],"strategies":[174],"5G":[176],"future":[178],"networks.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
