{"id":"https://openalex.org/W2758609601","doi":"https://doi.org/10.1109/tit.2017.2756668","title":"Capacity-Achieving Rate-Compatible Polar Codes","display_name":"Capacity-Achieving Rate-Compatible Polar Codes","publication_year":2017,"publication_date":"2017-09-25","ids":{"openalex":"https://openalex.org/W2758609601","doi":"https://doi.org/10.1109/tit.2017.2756668","mag":"2758609601"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2756668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2756668","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":"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/A5115601419","display_name":"Song-Nam Hong","orcid":"https://orcid.org/0000-0003-3527-4717"},"institutions":[{"id":"https://openalex.org/I57664883","display_name":"Ajou University","ror":"https://ror.org/03tzb2h73","country_code":"KR","type":"education","lineage":["https://openalex.org/I57664883"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Song-Nam Hong","raw_affiliation_strings":["Electrical and Computer Engineering Department, Ajou University, Suwon, South Korea"],"raw_orcid":"https://orcid.org/0000-0003-3527-4717","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Ajou University, Suwon, South Korea","institution_ids":["https://openalex.org/I57664883"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085560155","display_name":"Dennis Hui","orcid":"https://orcid.org/0000-0002-8489-4739"},"institutions":[{"id":"https://openalex.org/I4210139236","display_name":"Ericsson (United States)","ror":"https://ror.org/03q3bdj78","country_code":"US","type":"company","lineage":["https://openalex.org/I1306339040","https://openalex.org/I4210139236"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dennis Hui","raw_affiliation_strings":["Ericsson Research, San Jose, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-8489-4739","affiliations":[{"raw_affiliation_string":"Ericsson Research, San Jose, CA, USA","institution_ids":["https://openalex.org/I4210139236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103141383","display_name":"Ivana Mari\u0107","orcid":"https://orcid.org/0000-0003-1504-5298"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ivana Maric","raw_affiliation_strings":["Department of Pediatrics, Stanford University, Stanford, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-1504-5298","affiliations":[{"raw_affiliation_string":"Department of Pediatrics, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2726,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.96109184,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"63","issue":"12","first_page":"7620","last_page":"7632"},"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":0.9987999796867371,"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/T11130","display_name":"Coding theory and cryptography","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/puncturing","display_name":"Puncturing","score":0.8804445266723633},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.6597661972045898},{"id":"https://openalex.org/keywords/polar-code","display_name":"Polar code","score":0.5840752124786377},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5840585231781006},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.5823177695274353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5648949146270752},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.5439096093177795},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.524052619934082},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4315217137336731},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4205877482891083},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3557508587837219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32372140884399414},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20271775126457214},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12593680620193481},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0788816511631012}],"concepts":[{"id":"https://openalex.org/C2778808095","wikidata":"https://www.wikidata.org/wiki/Q3899825","display_name":"Puncturing","level":2,"score":0.8804445266723633},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.6597661972045898},{"id":"https://openalex.org/C2778396592","wikidata":"https://www.wikidata.org/wiki/Q7209069","display_name":"Polar code","level":3,"score":0.5840752124786377},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5840585231781006},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.5823177695274353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5648949146270752},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.5439096093177795},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.524052619934082},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4315217137336731},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4205877482891083},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3557508587837219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32372140884399414},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20271775126457214},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12593680620193481},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0788816511631012},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2756668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2756668","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1096411052","display_name":null,"funder_award_id":"NRF-2017R1C1B1001909","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1541466508","https://openalex.org/W1946204087","https://openalex.org/W1952775042","https://openalex.org/W1968705983","https://openalex.org/W1983372668","https://openalex.org/W2006317538","https://openalex.org/W2012642489","https://openalex.org/W2023742978","https://openalex.org/W2034900819","https://openalex.org/W2055534149","https://openalex.org/W2106045225","https://openalex.org/W2121606987","https://openalex.org/W2129027280","https://openalex.org/W2131457481","https://openalex.org/W2139784773","https://openalex.org/W2143855067","https://openalex.org/W2150498905","https://openalex.org/W2154315166","https://openalex.org/W2157651496","https://openalex.org/W2159284178","https://openalex.org/W2160647929","https://openalex.org/W2582905278","https://openalex.org/W2963850406","https://openalex.org/W4232514879","https://openalex.org/W6640689088","https://openalex.org/W6680597225"],"related_works":["https://openalex.org/W4226194893","https://openalex.org/W2902156636","https://openalex.org/W2962943520","https://openalex.org/W2124903117","https://openalex.org/W2143855067","https://openalex.org/W2116392457","https://openalex.org/W3095929050","https://openalex.org/W4298223232","https://openalex.org/W2951872510","https://openalex.org/W3015509577"],"abstract_inverted_index":{"A":[0,76],"method":[1],"of":[2,24,31,40,48,51,61,108,120,128,162,197,203],"constructing":[3],"rate-compatible":[4],"polar":[5,32,53,63,73,87,109,133,142,165,177],"codes":[6,33,54,134,166,178],"that":[7,34,122,185],"are":[8,35,135,155],"capacity":[9,191],"achieving":[10,192],"at":[11,58,93],"multiple":[12,52],"code":[13,46,79,113,189],"rates":[14,95,121,198],"with":[15,55],"low-complexity":[16],"sequential":[17],"decoders":[18],"is":[19,67,80,123,172,183,190],"presented.":[20],"The":[21,44,160],"underlying":[22],"idea":[23],"the":[25,59,105,111,126,129,186],"construction":[26],"exploits":[27],"certain":[28],"common":[29],"characteristics":[30],"optimized":[36],"for":[37,167,193,200],"a":[38,117,152],"sequence":[39,196],"successively":[41],"degraded":[42,204],"channels.":[43,205],"proposed":[45,187],"consists":[47],"parallel":[49,71],"concatenation":[50],"information-bit":[56],"divider":[57],"input":[60],"each":[62],"encoder.":[64],"Thus,":[65],"it":[66,182],"referred":[68],"to":[69,98,100,104],"as":[70,157,179],"concatenated":[72],"(PCP)":[74],"codes.":[75,159],"lower-rate":[77],"PCP":[78,112,188],"simply":[81],"constructed":[82],"by":[83,125,150],"adding":[84],"more":[85,146],"constituent":[86,158,180],"codes,":[88,110,143,181],"which":[89,144],"enables":[90],"incremental":[91],"retransmissions":[92],"different":[94],"in":[96],"order":[97],"adapt":[99],"channel":[101],"conditions.":[102],"Due":[103],"length":[106],"limitation":[107],"can":[114],"only":[115],"support":[116],"restricted":[118],"set":[119],"characterized":[124],"size":[127],"kernel":[130],"when":[131],"conventional":[132],"used.":[136],"To":[137],"overcome":[138],"this":[139],"limitation,":[140],"punctured":[141,164,176],"provide":[145],"flexibility":[147],"on":[148],"blocklength":[149],"controlling":[151],"puncturing":[153,170],"fraction,":[154],"considered":[156],"existence":[161],"capacity-achieving":[163],"any":[168,201],"given":[169],"fraction":[171],"proven.":[173],"Using":[174],"such":[175],"shown":[184],"an":[194],"arbitrary":[195],"and":[199],"class":[202]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}