{"id":"https://openalex.org/W2783704865","doi":"https://doi.org/10.1109/allerton.2017.8262788","title":"Polar codes for channels with deletions","display_name":"Polar codes for channels with deletions","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2783704865","doi":"https://doi.org/10.1109/allerton.2017.8262788","mag":"2783704865"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2017.8262788","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262788","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5003512286","display_name":"Kuangda Tian","orcid":"https://orcid.org/0000-0002-2574-6373"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kuangda Tian","raw_affiliation_strings":["School of Electronic and Information Engineering, Beihang University, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Beihang University, Beijing, P. R. China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015830368","display_name":"Arman Fazeli","orcid":"https://orcid.org/0000-0001-8321-3391"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arman Fazeli","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of California, San Diego, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004102644","display_name":"Alexander Vardy","orcid":"https://orcid.org/0000-0003-3303-9078"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Vardy","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of California, San Diego, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077936056","display_name":"Rongke Liu","orcid":"https://orcid.org/0000-0003-3098-8649"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rongke Liu","raw_affiliation_strings":["School of Electronic and Information Engineering, Beihang University, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Beihang University, Beijing, P. R. China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003512286"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":1.4504,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85345097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"572","last_page":"579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T12029","display_name":"DNA and Biological Computing","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.8307678699493408},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5679431557655334},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5656560659408569},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5549243688583374},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5511189103126526},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4820728898048401},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.4794567823410034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2718219757080078},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.263206422328949},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1297387182712555},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.08359220623970032},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08198833465576172},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.07278767228126526}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.8307678699493408},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5679431557655334},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5656560659408569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5549243688583374},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5511189103126526},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4820728898048401},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.4794567823410034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2718219757080078},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.263206422328949},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1297387182712555},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.08359220623970032},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08198833465576172},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.07278767228126526}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2017.8262788","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262788","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1525114838","https://openalex.org/W1946204087","https://openalex.org/W1981735015","https://openalex.org/W2101067964","https://openalex.org/W2105597036","https://openalex.org/W2106045225","https://openalex.org/W2125870772","https://openalex.org/W2150498905","https://openalex.org/W2164368671","https://openalex.org/W2568570574","https://openalex.org/W2619180124","https://openalex.org/W2964230863","https://openalex.org/W6631320337"],"related_works":["https://openalex.org/W3017203753","https://openalex.org/W3083229674","https://openalex.org/W4205451769","https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W3096151594","https://openalex.org/W2964031101","https://openalex.org/W4200209838","https://openalex.org/W2165241191","https://openalex.org/W2798867000"],"abstract_inverted_index":{"A":[0],"polar":[1,113,145,192,221],"coding":[2],"scheme":[3],"for":[4,112],"channels":[5],"with":[6,19,29,76,209,244],"deletions":[7,28],"has":[8],"been":[9],"proposed":[10,136,191],"recently,":[11],"in":[12,115,189,203],"which":[13,92,238],"the":[14,25,46,51,68,77,81,132,141,151,184,190,201,204,212,219,245],"information":[15],"bits":[16],"are":[17],"pre-coded":[18],"CRC":[20],"that":[21,74],"helps":[22],"to":[23,55,71,85,131,156,170,200],"detect":[24],"location":[26],"of":[27,48,67,117,128,144,153,183,247],"high":[30,210],"precision.":[31],"Successive":[32],"Cancellation":[33],"(SC)":[34],"decoding":[35,52,83,110,130,158,206,227],"then":[36],"treats":[37],"these":[38],"symbols":[39],"as":[40,45,125],"simple":[41],"erasures.":[42],"Given":[43],"d":[44,98],"number":[47,246],"deleted":[49,69],"symbols,":[50],"algorithm":[53,137],"requires":[54],"check":[56,171],"all":[57,172],"(":[58,173],"<sup":[59,87,174,232],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[60,63,88,175,178,233],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</sup>":[61,176],"<sub":[62,177],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</sub>":[64,179],")":[65,180],"combinations":[66],"locations":[70,182],"find":[72],"one":[73],"agrees":[75],"CRC.":[78],"This":[79,120],"escalates":[80],"overall":[82],"complexity":[84,228],"O(N":[86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d+1</sup>":[89],"log":[90,236],"N),":[91,237],"is":[93,99,138,166,223,229],"not":[94],"practical":[95],"even":[96],"when":[97,218],"a":[100],"small":[101],"number.":[102],"In":[103,162],"this":[104],"paper,":[105],"we":[106],"propose":[107],"an":[108,126],"alternative":[109],"method":[111,121],"codes":[114,146],"presence":[116],"deletion":[118,133,154,198,214],"errors.":[119],"can":[122],"be":[123],"regarded":[124],"extension":[127],"SC":[129],"channel.":[134],"The":[135,225],"based":[139],"on":[140],"recursive":[142],"structure":[143],"and":[147],"it":[148,165],"directly":[149],"adopts":[150],"outputs":[152],"channel":[155],"perform":[157],"without":[159],"any":[160],"preprocessing.":[161],"other":[163],"words,":[164],"no":[167],"longer":[168],"required":[169],"possible":[181],"deletions.":[185,248],"Instead,":[186],"each":[187],"node":[188],"decoder":[193],"propagates":[194],"its":[195],"uncertainty":[196],"about":[197],"pattern":[199,215],"nodes":[202],"next":[205],"layer.":[207],"Eventually,":[208],"probability,":[211],"correct":[213],"becomes":[216],"visible":[217],"last":[220],"bit-channel":[222],"decoded.":[224],"resulting":[226],"only":[230],"O(d":[231],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[234],"N":[235],"scales":[239],"polynomially":[240],"rather":[241],"than":[242],"exponentially":[243]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}