{"id":"https://openalex.org/W2164978421","doi":"https://doi.org/10.1109/isit.2010.5513579","title":"An empirical scaling law for polar codes","display_name":"An empirical scaling law for polar codes","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2164978421","doi":"https://doi.org/10.1109/isit.2010.5513579","mag":"2164978421"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513579","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513579","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/150679","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033222110","display_name":"Satish Babu Korada","orcid":null},"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":true,"raw_author_name":"Satish Babu Korada","raw_affiliation_strings":["University of Stanford, USA"],"affiliations":[{"raw_affiliation_string":"University of Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011999109","display_name":"Andrea Montanari","orcid":"https://orcid.org/0000-0002-0267-8574"},"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":"Andrea Montanari","raw_affiliation_strings":["University of Stanford, USA"],"affiliations":[{"raw_affiliation_string":"University of Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","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":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I4210158120","display_name":"Swiss Epilepsy Center","ror":"https://ror.org/05xnnea38","country_code":"CH","type":"other","lineage":["https://openalex.org/I4210158120"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Emre Telatar","raw_affiliation_strings":["EPF Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPF Lausanne, Switzerland","institution_ids":["https://openalex.org/I4210158120","https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058759310","display_name":"R\u00fcdiger Urbanke","orcid":"https://orcid.org/0000-0002-4839-821X"},"institutions":[{"id":"https://openalex.org/I4210158120","display_name":"Swiss Epilepsy Center","ror":"https://ror.org/05xnnea38","country_code":"CH","type":"other","lineage":["https://openalex.org/I4210158120"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Rudiger Urbanke","raw_affiliation_strings":["EPF Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPF Lausanne, Switzerland","institution_ids":["https://openalex.org/I4210158120","https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033222110"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":8.1961,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.97834674,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"884","last_page":"888"},"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":0.9990000128746033,"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":0.9959999918937683,"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/decoding-methods","display_name":"Decoding methods","score":0.7038390040397644},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.6899006366729736},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6577947735786438},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5917835831642151},{"id":"https://openalex.org/keywords/binary-symmetric-channel","display_name":"Binary symmetric channel","score":0.5694236159324646},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5437023639678955},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.5399885177612305},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5322245359420776},{"id":"https://openalex.org/keywords/scaling-law","display_name":"Scaling law","score":0.5193215608596802},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4624846577644348},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.46034693717956543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43151775002479553},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4021355211734772},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.39029791951179504},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.2071852684020996},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16648459434509277},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15700000524520874},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.12614449858665466},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11098802089691162},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06766793131828308},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05544179677963257}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7038390040397644},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.6899006366729736},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6577947735786438},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5917835831642151},{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.5694236159324646},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5437023639678955},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.5399885177612305},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5322245359420776},{"id":"https://openalex.org/C2988430800","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Scaling law","level":3,"score":0.5193215608596802},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4624846577644348},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.46034693717956543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43151775002479553},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4021355211734772},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.39029791951179504},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.2071852684020996},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16648459434509277},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15700000524520874},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.12614449858665466},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11098802089691162},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06766793131828308},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05544179677963257},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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":2,"locations":[{"id":"doi:10.1109/isit.2010.5513579","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513579","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:150679","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/150679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:150679","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/150679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1536930200","https://openalex.org/W2034493067","https://openalex.org/W2055534149","https://openalex.org/W2109489513","https://openalex.org/W2139784773","https://openalex.org/W2150498905","https://openalex.org/W2162346886","https://openalex.org/W6680597225","https://openalex.org/W6683810450"],"related_works":["https://openalex.org/W2139769859","https://openalex.org/W2140357074","https://openalex.org/W2002203372","https://openalex.org/W2502955786","https://openalex.org/W2113562070","https://openalex.org/W2810502498","https://openalex.org/W2583282232","https://openalex.org/W2028268383","https://openalex.org/W2372190485","https://openalex.org/W3103136794"],"abstract_inverted_index":{"Using":[0],"scaling":[1,33,44],"laws,":[2],"we":[3,23],"obtain":[4],"estimates":[5],"of":[6,11],"the":[7,19,32],"block":[8],"error":[9],"probability":[10],"polar":[12],"codes":[13],"under":[14],"successive":[15],"cancellation":[16],"decoding.":[17],"For":[18],"binary":[20,48],"erasure":[21],"channel":[22],"present":[24,42],"an":[25],"upper":[26],"and":[27],"a":[28,43],"lower":[29],"bound":[30],"for":[31,46],"parameter.":[34],"Numerically":[35],"these":[36],"two":[37],"bounds":[38],"match.":[39],"We":[40],"also":[41],"law":[45],"general":[47],"discrete":[49],"memoryless":[50],"channels.":[51]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
