{"id":"https://openalex.org/W2168527529","doi":"https://doi.org/10.1109/tit.2012.2184692","title":"On Secrecy Capacity Scaling in Wireless Networks","display_name":"On Secrecy Capacity Scaling in Wireless Networks","publication_year":2012,"publication_date":"2012-01-31","ids":{"openalex":"https://openalex.org/W2168527529","doi":"https://doi.org/10.1109/tit.2012.2184692","mag":"2168527529"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2184692","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2184692","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":"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/A5001012632","display_name":"O. Ozan Koyluoglu","orcid":"https://orcid.org/0000-0001-8512-4755"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"O. Ozan Koyluoglu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA","Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030047891","display_name":"C. Emre Koksal","orcid":"https://orcid.org/0000-0001-8463-4446"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Can Emre Koksal","raw_affiliation_strings":["Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111747909","display_name":"Hesham El Gamal","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hesham El Gamal","raw_affiliation_strings":["Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":17.27,"has_fulltext":false,"cited_by_count":196,"citation_normalized_percentile":{"value":0.99461129,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"58","issue":"5","first_page":"3000","last_page":"3015"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9993000030517578,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9973999857902527,"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/computer-science","display_name":"Computer science","score":0.5405643582344055},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4536114037036896},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.4126337170600891},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39528554677963257},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3304665684700012},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32150787115097046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28166621923446655},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11608889698982239}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5405643582344055},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4536114037036896},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.4126337170600891},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39528554677963257},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3304665684700012},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32150787115097046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28166621923446655},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11608889698982239},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2012.2184692","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2184692","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W617886523","https://openalex.org/W1501138545","https://openalex.org/W1788426572","https://openalex.org/W1979408141","https://openalex.org/W1987767063","https://openalex.org/W1997102776","https://openalex.org/W2002649876","https://openalex.org/W2035732731","https://openalex.org/W2043769961","https://openalex.org/W2092573080","https://openalex.org/W2096037147","https://openalex.org/W2099111195","https://openalex.org/W2099199968","https://openalex.org/W2100364607","https://openalex.org/W2109394932","https://openalex.org/W2111621260","https://openalex.org/W2112081641","https://openalex.org/W2113629043","https://openalex.org/W2114949063","https://openalex.org/W2116844604","https://openalex.org/W2123421753","https://openalex.org/W2128153585","https://openalex.org/W2131603212","https://openalex.org/W2135356058","https://openalex.org/W2136608712","https://openalex.org/W2137775453","https://openalex.org/W2137777358","https://openalex.org/W2144007657","https://openalex.org/W2146794521","https://openalex.org/W2153646424","https://openalex.org/W2158782014","https://openalex.org/W3100547675","https://openalex.org/W4231557791","https://openalex.org/W4250226066"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W3008380943","https://openalex.org/W2317200988","https://openalex.org/W2115206405","https://openalex.org/W4387718383","https://openalex.org/W1528986568","https://openalex.org/W2500746363","https://openalex.org/W2295951338","https://openalex.org/W2804199312"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,21,54,64,75,83,109,123,148,156,162,175,181,187,190],"achievable":[4],"secure":[5,59,163],"rate":[6,60,143],"per":[7,165],"source-destination":[8],"pair":[9],"in":[10,82,101,177],"wireless":[11],"networks.":[12],"First,":[13],"a":[14,57,80,92,139],"path":[15],"loss":[16,81],"model":[17,115],"is":[18,43,89,99,120,135,159,193],"considered,":[19],"where":[20,97],"legitimate":[22,172],"and":[23,39,66,118,161],"eavesdropper":[24,153,184],"nodes":[25,55],"are":[26],"assumed":[27],"to":[28,32,104,137,174],"be":[29],"placed":[30],"according":[31],"Poisson":[33],"point":[34],"processes":[35],"with":[36,128],"intensities":[37],"\u03bb":[38],"\u03bbe,":[40],"respectively.":[41],"It":[42],"shown":[44,136],"that,":[45],"as":[46,48,168],"long":[47],"\u03bbe/\u03bb":[49],"=o((logn)-2),":[50],"almost":[51],"all":[52],"of":[53,61,183,189],"achieve":[56,138],"perfectly":[58],"\u03a9(1/\u221an)":[62],"for":[63,144],"extended":[65],"dense":[67],"network":[68,76,176],"models.":[69],"Therefore,":[70],"under":[71],"these":[72],"assumptions,":[73],"securing":[74],"does":[77,150],"not":[78,151],"entail":[79],"per-node":[84],"throughput.":[85],"The":[86],"achievability":[87],"argument":[88],"based":[90],"on":[91,186],"novel":[93],"multihop":[94],"forwarding":[95],"scheme":[96,127,149],"randomization":[98],"added":[100],"every":[102],"hop":[103],"ensure":[105],"maximal":[106],"ambiguity":[107],"at":[108],"eavesdropper(s).":[110],"Second,":[111],"an":[112,129],"ergodic":[113,124],"fading":[114],"withnsource-destination":[116],"pairs":[117],"neeavesdroppers":[119],"considered.":[121],"Employing":[122],"interference":[125],"alignment":[126],"appropriate":[130],"secrecy":[131],"precoding,":[132],"each":[133],"user":[134],"constant":[140],"positive":[141],"secret":[142],"sufficiently":[145],"largen.":[146],"Remarkably,":[147],"require":[152],"CSI":[154],"(only":[155],"statistical":[157],"knowledge":[158],"assumed)":[160],"throughput":[164],"node":[166],"increases":[167],"we":[169],"add":[170],"more":[171],"users":[173],"this":[178],"setting.":[179],"Finally,":[180],"effect":[182],"collusion":[185],"performance":[188],"proposed":[191],"schemes":[192],"characterized.":[194]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":23},{"year":2016,"cited_by_count":30},{"year":2015,"cited_by_count":22},{"year":2014,"cited_by_count":28},{"year":2013,"cited_by_count":25},{"year":2012,"cited_by_count":6}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}