{"id":"https://openalex.org/W2023530046","doi":"https://doi.org/10.1109/isit.2013.6620435","title":"Polar lattices: Where Ar&amp;#x0131;kan meets Forney","display_name":"Polar lattices: Where Ar&amp;#x0131;kan meets Forney","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2023530046","doi":"https://doi.org/10.1109/isit.2013.6620435","mag":"2023530046"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620435","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","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/A5087870443","display_name":"Yanfei Yan","orcid":"https://orcid.org/0000-0001-9380-868X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yanfei Yan","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065795716","display_name":"Cong Ling","orcid":"https://orcid.org/0000-0001-7873-4862"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Cong Ling","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029552346","display_name":"Xiaofu Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaofu Wu","raw_affiliation_strings":["Nanjing University of Posts and Telecommunications, Nanjing, China","[Nanjing Univ. of Posts & Telecommun., Nanjing, China]"],"affiliations":[{"raw_affiliation_string":"Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"[Nanjing Univ. of Posts & Telecommun., Nanjing, China]","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087870443"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":10.5786,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.98418673,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1292","last_page":"1296"},"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":0.9994000196456909,"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":0.9990000128746033,"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/polar-code","display_name":"Polar code","score":0.9083282947540283},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.8205533027648926},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.7732846140861511},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7349303364753723},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5911259055137634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5368505120277405},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5317888259887695},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.376233845949173},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.33575230836868286},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33360755443573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3281119763851166},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21025514602661133},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09396705031394958},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.061926811933517456}],"concepts":[{"id":"https://openalex.org/C2778396592","wikidata":"https://www.wikidata.org/wiki/Q7209069","display_name":"Polar code","level":3,"score":0.9083282947540283},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.8205533027648926},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.7732846140861511},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7349303364753723},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5911259055137634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5368505120277405},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5317888259887695},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.376233845949173},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.33575230836868286},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33360755443573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3281119763851166},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21025514602661133},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09396705031394958},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.061926811933517456},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/isit.2013.6620435","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1512015702","https://openalex.org/W1988693324","https://openalex.org/W1997639859","https://openalex.org/W2015850986","https://openalex.org/W2017184766","https://openalex.org/W2018877773","https://openalex.org/W2107211662","https://openalex.org/W2137697643","https://openalex.org/W2138577627","https://openalex.org/W2139784773","https://openalex.org/W2142252806","https://openalex.org/W2144099979","https://openalex.org/W2150498905","https://openalex.org/W2160130902","https://openalex.org/W2160973043","https://openalex.org/W2952954835","https://openalex.org/W2964312190","https://openalex.org/W3098099709","https://openalex.org/W3099516920","https://openalex.org/W3106027096","https://openalex.org/W6654915942"],"related_works":["https://openalex.org/W1599814246","https://openalex.org/W2963228343","https://openalex.org/W3009157344","https://openalex.org/W3106389544","https://openalex.org/W3080200660","https://openalex.org/W1974392290","https://openalex.org/W2008803526","https://openalex.org/W3196757433","https://openalex.org/W2417337632","https://openalex.org/W2074565401"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"the":[5,23,32,43,73,76,90],"explicit":[6],"construction":[7,34],"of":[8,12,35,92],"a":[9,49],"new":[10],"class":[11],"lattices":[13,59],"based":[14],"on":[15,45],"polar":[16,51,58,93],"codes,":[17],"which":[18],"are":[19,60,69],"provably":[20],"good":[21],"for":[22,53],"additive":[24],"white":[25],"Gaussian":[26],"noise":[27],"(AWGN)":[28],"channel.":[29],"We":[30],"follow":[31],"multilevel":[33],"Forney":[36],"et":[37],"al.":[38],"(i.e.,":[39],"Construction":[40],"D),":[41],"where":[42],"code":[44,52],"each":[46],"level":[47],"is":[48,86],"capacity-achieving":[50],"that":[54],"level.":[55],"The":[56],"proposed":[57],"efficiently":[61],"decodable":[62],"by":[63],"using":[64],"multistage":[65],"decoding.":[66],"Performance":[67],"bounds":[68],"derived":[70],"to":[71,75,88],"measure":[72],"gap":[74],"generalized":[77],"capacity":[78],"at":[79],"given":[80],"error":[81],"probability.":[82],"A":[83],"design":[84],"example":[85],"presented":[87],"demonstrate":[89],"performance":[91],"lattices.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-10-10T00:00:00"}
