{"id":"https://openalex.org/W2940610932","doi":"https://doi.org/10.1109/tit.2019.2917182","title":"Exact Exponent for Soft Covering","display_name":"Exact Exponent for Soft Covering","publication_year":2019,"publication_date":"2019-05-17","ids":{"openalex":"https://openalex.org/W2940610932","doi":"https://doi.org/10.1109/tit.2019.2917182","mag":"2940610932"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2917182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2917182","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1801.00714","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059737177","display_name":"Semih Yagli","orcid":"https://orcid.org/0000-0003-4836-8026"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Semih Yagli","raw_affiliation_strings":["Electrical Engineering Department, Princeton University, Princeton, NJ, USA","Princeton University"],"raw_orcid":"https://orcid.org/0000-0003-4836-8026","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026048440","display_name":"Paul Cuff","orcid":"https://orcid.org/0000-0003-2936-9939"},"institutions":[{"id":"https://openalex.org/I4210152936","display_name":"Renaissance Services (United States)","ror":"https://ror.org/04p52xd50","country_code":"US","type":"company","lineage":["https://openalex.org/I4210152936"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Cuff","raw_affiliation_strings":["Renaissance Technologies LLC, Long Island, NY, USA","Renaissance Technologies#TAB#"],"raw_orcid":"https://orcid.org/0000-0003-2936-9939","affiliations":[{"raw_affiliation_string":"Renaissance Technologies LLC, Long Island, NY, USA","institution_ids":["https://openalex.org/I4210152936"]},{"raw_affiliation_string":"Renaissance Technologies#TAB#","institution_ids":["https://openalex.org/I4210152936"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02675464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"10","first_page":"6234","last_page":"6262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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/T12029","display_name":"DNA and Biological Computing","score":0.9994999766349792,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/exponent","display_name":"Exponent","score":0.8406620621681213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6479955315589905},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5268777012825012},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47103410959243774},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4669308066368103},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.43008098006248474},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4226989448070526},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4091186821460724},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3919474482536316},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32524779438972473},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16217464208602905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15372538566589355},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11353704333305359},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10661405324935913},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07198402285575867}],"concepts":[{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.8406620621681213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6479955315589905},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5268777012825012},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47103410959243774},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4669308066368103},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.43008098006248474},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4226989448070526},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4091186821460724},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3919474482536316},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32524779438972473},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16217464208602905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15372538566589355},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11353704333305359},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10661405324935913},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07198402285575867},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2019.2917182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2917182","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"},{"id":"pmh:oai:arXiv.org:1801.00714","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.00714","pdf_url":"https://arxiv.org/pdf/1801.00714","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"text"},{"id":"mag:2940610932","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1801.00714v8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1801.00714","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1801.00714","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1801.00714","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.00714","pdf_url":"https://arxiv.org/pdf/1801.00714","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5}],"awards":[{"id":"https://openalex.org/G4741230905","display_name":null,"funder_award_id":"CCF-1350595","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7247502720","display_name":null,"funder_award_id":"FA9550-15-1-0180","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W245337057","https://openalex.org/W1409569118","https://openalex.org/W1631312317","https://openalex.org/W1849062559","https://openalex.org/W1899372466","https://openalex.org/W1996725403","https://openalex.org/W1998812578","https://openalex.org/W2026653933","https://openalex.org/W2027642452","https://openalex.org/W2031420654","https://openalex.org/W2034681107","https://openalex.org/W2043769961","https://openalex.org/W2059475362","https://openalex.org/W2061890144","https://openalex.org/W2066673595","https://openalex.org/W2068887604","https://openalex.org/W2099111195","https://openalex.org/W2103674915","https://openalex.org/W2106864314","https://openalex.org/W2134348739","https://openalex.org/W2141432745","https://openalex.org/W2141761557","https://openalex.org/W2142901448","https://openalex.org/W2148587342","https://openalex.org/W2162169298","https://openalex.org/W2162635854","https://openalex.org/W2174534725","https://openalex.org/W2186012205","https://openalex.org/W2592179752","https://openalex.org/W2725029573","https://openalex.org/W2762400634","https://openalex.org/W2763740675","https://openalex.org/W2962685448","https://openalex.org/W2963045111","https://openalex.org/W2963348957","https://openalex.org/W2963645489","https://openalex.org/W3100328068","https://openalex.org/W3103409729","https://openalex.org/W4206719239","https://openalex.org/W4240666298","https://openalex.org/W4252822198","https://openalex.org/W4302366875"],"related_works":["https://openalex.org/W2962725488","https://openalex.org/W2908286069","https://openalex.org/W1875398854","https://openalex.org/W2018824919","https://openalex.org/W2963375637","https://openalex.org/W2997455209","https://openalex.org/W3178780836","https://openalex.org/W2964048382","https://openalex.org/W1806878848","https://openalex.org/W2950741961","https://openalex.org/W2988499581","https://openalex.org/W2779388876","https://openalex.org/W2050316506","https://openalex.org/W3033626336","https://openalex.org/W1529356992","https://openalex.org/W2647681439","https://openalex.org/W2918938639","https://openalex.org/W2578263278","https://openalex.org/W3039298518","https://openalex.org/W50856701"],"abstract_inverted_index":{"This":[0,44],"paper":[1],"establishes":[2],"the":[3,7,15,42,46,50,54,59,71,96,100,104],"exact":[4,51],"exponents":[5,52,75],"for":[6,81,95],"soft-covering":[8,86],"phenomenon":[9],"of":[10],"a":[11],"memoryless":[12],"channel":[13,24],"under":[14,53],"total":[16],"variation":[17],"metric":[18],"when":[19],"random":[20],"(i.i.d.":[21],"and":[22,65,78,99],"constant-composition)":[23],"codes":[25],"are":[26,32],"used.":[27],"The":[28,73],"exponents,":[29],"established":[30],"herein,":[31],"strict":[33],"improvements":[34],"in":[35,41,103],"both":[36],"directions":[37],"on":[38],"bounds":[39,80,94],"found":[40,74],"literature.":[43],"complements":[45],"recent":[47],"literature":[48],"establishing":[49],"relative":[55],"entropy":[56],"metric;":[57],"however,":[58],"proof":[60],"techniques":[61],"have":[62],"significant":[63],"differences,":[64],"thus,":[66],"neither":[67],"result":[68],"trivially":[69],"implies":[70],"other.":[72],"imply":[76],"new":[77,92],"improved":[79],"various":[82],"problems":[83],"that":[84],"use":[85],"as":[87],"their":[88],"achievability":[89],"argument,":[90],"including":[91],"lower":[93],"resolvability":[97],"exponent":[98,102],"secrecy":[101],"wiretap":[105],"channel.":[106]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}