{"id":"https://openalex.org/W2107211662","doi":"https://doi.org/10.1109/isit.2011.6033724","title":"On the construction of polar codes","display_name":"On the construction of polar codes","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2107211662","doi":"https://doi.org/10.1109/isit.2011.6033724","mag":"2107211662"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2011.6033724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1209.4444","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040270189","display_name":"Ramtin Pedarsani","orcid":"https://orcid.org/0000-0002-1126-0292"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"funder","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Ramtin Pedarsani","raw_affiliation_strings":["School of Computer and Communication Systems, EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Systems, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078613749","display_name":"S. Hamed Hassani","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"funder","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"S. Hamed Hassani","raw_affiliation_strings":["School of Computer and Communication Systems, EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Systems, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075380828","display_name":"Ido Tal","orcid":"https://orcid.org/0000-0001-5419-1162"},"institutions":[],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ido Tal","raw_affiliation_strings":["Information Theory and Applications, UCSD, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"Information Theory and Applications, UCSD, La Jolla, CA, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025506109","display_name":"Emre Telatar","orcid":"https://orcid.org/0009-0007-5365-5368"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"funder","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Emre Telatar","raw_affiliation_strings":["School of Computer and Communication Systems, EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Systems, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.499,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":138,"citation_normalized_percentile":{"value":0.98754,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":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/T12029","display_name":"DNA and Biological Computing","score":0.9963,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9947,"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":[],"concepts":[{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.6745136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.60633117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5415019},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.52433115},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5036077},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.47633606},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.47129667},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.46053436},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38968015},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3460659},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34519303},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23575488},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1910348},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08244735},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2011.6033724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1209.4444","pdf_url":"https://arxiv.org/pdf/1209.4444","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":null,"pdf_url":"http://arxiv.org/pdf/1209.4444.pdf","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.591.7810","pdf_url":"http://webee.technion.ac.il/people/idotal/papers/conference/polarOnConstruction_ISIT.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1209.4444","pdf_url":"https://arxiv.org/pdf/1209.4444","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":6,"referenced_works":["https://openalex.org/W1536930200","https://openalex.org/W2131457481","https://openalex.org/W2139784773","https://openalex.org/W2150498905","https://openalex.org/W2161541170","https://openalex.org/W2952954835"],"related_works":["https://openalex.org/W4302615923","https://openalex.org/W4251141768","https://openalex.org/W3203142394","https://openalex.org/W2885615566","https://openalex.org/W2542937328","https://openalex.org/W2351061015","https://openalex.org/W2017509870","https://openalex.org/W1974101135","https://openalex.org/W1973916483","https://openalex.org/W1963637513"],"abstract_inverted_index":{"We":[0,90],"consider":[1],"the":[2,26,40,52,57,75,97,111],"problem":[3],"of":[4,17,25,77,99],"efficiently":[5],"constructing":[6],"polar":[7,19],"codes":[8,20],"over":[9],"binary":[10],"memoryless":[11],"symmetric":[12],"(BMS)":[13],"channels.":[14],"The":[15],"complexity":[16,87,121],"designing":[18],"via":[21],"an":[22],"exact":[23],"evaluation":[24,53],"polarized":[27],"channels":[28,113],"to":[29,36],"find":[30,109],"which":[31],"ones":[32],"are":[33],"\"good\"":[34,112],"appears":[35],"be":[37,84],"exponential":[38],"in":[39,102,122],"block":[41],"length.":[42],"In":[43,63],"[3],":[44],"Tal":[45],"and":[46,70,79,88,93],"Vardy":[47],"show":[48,105],"that":[49,106],"if":[50,54],"instead":[51],"performed":[55],"approximately,":[56],"construction":[58],"has":[59],"only":[60],"linear":[61,120],"complexity.":[62],"this":[64,68],"paper,":[65],"we":[66,104],"follow":[67],"approach":[69],"present":[71],"a":[72,115,125],"framework":[73],"where":[74],"algorithms":[76,82],"[3]":[78],"new":[80],"related":[81],"can":[83,108],"analyzed":[85],"for":[86],"accuracy.":[89],"provide":[91],"numerical":[92],"analytical":[94],"results":[95],"on":[96],"efficiency":[98],"such":[100],"algorithms,":[101],"particular":[103],"one":[107],"all":[110],"(except":[114,124],"vanishing":[116],"fraction)":[117],"with":[118],"almost":[119],"block-length":[123],"polylogarithmic":[126],"factor).":[127]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2107211662","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":15},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":9}],"updated_date":"2025-04-16T12:33:57.994867","created_date":"2016-06-24"}