{"id":"https://openalex.org/W2036210457","doi":"https://doi.org/10.1109/tnet.2013.2244230","title":"Asymptotic Analysis on Secrecy Capacity in Large-Scale Wireless Networks","display_name":"Asymptotic Analysis on Secrecy Capacity in Large-Scale Wireless Networks","publication_year":2013,"publication_date":"2013-02-25","ids":{"openalex":"https://openalex.org/W2036210457","doi":"https://doi.org/10.1109/tnet.2013.2244230","mag":"2036210457"},"language":"en","primary_location":{"id":"doi:10.1109/tnet.2013.2244230","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2013.2244230","pdf_url":null,"source":{"id":"https://openalex.org/S62238642","display_name":"IEEE/ACM Transactions on Networking","issn_l":"1063-6692","issn":["1063-6692","1558-2566"],"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/ACM Transactions on Networking","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/A5004595691","display_name":"Jinbei Zhang","orcid":"https://orcid.org/0000-0003-2348-1970"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinbei Zhang","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","Dept of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Dept of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048486573","display_name":"Luoyi Fu","orcid":"https://orcid.org/0000-0001-7796-9168"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luoyi Fu","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","Dept of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Dept of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034483183","display_name":"Xinbing Wang","orcid":"https://orcid.org/0000-0002-0357-8356"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinbing Wang","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","Dept of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Dept of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004595691"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":6.7172,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.97108862,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"22","issue":"1","first_page":"66","last_page":"79"},"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/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"}},{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9901000261306763,"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/secrecy","display_name":"Secrecy","score":0.9286552667617798},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6388024687767029},{"id":"https://openalex.org/keywords/information-theoretic-security","display_name":"Information-theoretic security","score":0.5994109511375427},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.596886396408081},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5946634411811829},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.5121111869812012},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4979386329650879},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.47581034898757935},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.47341328859329224},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38375023007392883},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.28625285625457764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2039545476436615},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2036879062652588},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.16740813851356506},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11697137355804443}],"concepts":[{"id":"https://openalex.org/C2776452267","wikidata":"https://www.wikidata.org/wiki/Q1503443","display_name":"Secrecy","level":2,"score":0.9286552667617798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6388024687767029},{"id":"https://openalex.org/C47191418","wikidata":"https://www.wikidata.org/wiki/Q3510462","display_name":"Information-theoretic security","level":3,"score":0.5994109511375427},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.596886396408081},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5946634411811829},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.5121111869812012},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4979386329650879},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.47581034898757935},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.47341328859329224},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38375023007392883},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.28625285625457764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2039545476436615},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2036879062652588},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.16740813851356506},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11697137355804443},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnet.2013.2244230","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2013.2244230","pdf_url":null,"source":{"id":"https://openalex.org/S62238642","display_name":"IEEE/ACM Transactions on Networking","issn_l":"1063-6692","issn":["1063-6692","1558-2566"],"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/ACM Transactions on Networking","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.711.3512","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.711.3512","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://iwct.sjtu.edu.cn/Personal/xwang8/paper/TON2013.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W157873018","https://openalex.org/W630423399","https://openalex.org/W2002649876","https://openalex.org/W2007529001","https://openalex.org/W2028974285","https://openalex.org/W2043769961","https://openalex.org/W2045619381","https://openalex.org/W2056746002","https://openalex.org/W2057399436","https://openalex.org/W2057411153","https://openalex.org/W2062168357","https://openalex.org/W2104562009","https://openalex.org/W2109394932","https://openalex.org/W2112027676","https://openalex.org/W2120925548","https://openalex.org/W2121860415","https://openalex.org/W2122125652","https://openalex.org/W2126906340","https://openalex.org/W2127066052","https://openalex.org/W2133286957","https://openalex.org/W2133406100","https://openalex.org/W2135356058","https://openalex.org/W2137775453","https://openalex.org/W2144007657","https://openalex.org/W2145913720","https://openalex.org/W2149959815","https://openalex.org/W2153646424","https://openalex.org/W2153811089","https://openalex.org/W2156214717","https://openalex.org/W2159753313","https://openalex.org/W2161725792","https://openalex.org/W2168527529","https://openalex.org/W2171471095"],"related_works":["https://openalex.org/W2114007974","https://openalex.org/W2150528942","https://openalex.org/W2154832352","https://openalex.org/W1483037127","https://openalex.org/W2340481533","https://openalex.org/W2898567960","https://openalex.org/W2369043755","https://openalex.org/W2039752281","https://openalex.org/W1608200561","https://openalex.org/W2119812855"],"abstract_inverted_index":{"Since":[0],"wireless":[1],"channel":[2,48],"is":[3,12,38,94,122,177,185],"vulnerable":[4],"to":[5,79,157],"eavesdroppers,":[6],"the":[7,41,45,84,90,100,105,108,118,138,178,190,194,201,207,212,227],"secrecy":[8,30,42,92,110,148,204],"during":[9],"message":[10],"delivery":[11],"a":[13,81,186],"major":[14],"concern":[15],"in":[16,31,97,226],"many":[17],"applications":[18],"such":[19],"as":[20,137,221,223],"commercial,":[21],"governmental,":[22],"and":[23,34,47,71,134,155,193,217],"military":[24],"networks.":[25],"This":[26],"paper":[27],"investigates":[28],"information-theoretic":[29],"large-scale":[32],"networks":[33],"studies":[35],"how":[36],"capacity":[37,93,111,149,208],"affected":[39,96],"by":[40,99,160],"constraint":[43,205],"where":[44,64,75,175],"locations":[46],"state":[49],"information":[50],"(CSI)":[51],"of":[52,102,112,140,203,209,214],"eavesdroppers":[53,65,76,141],"are":[54,150],"both":[55,153],"unknown.":[56],"We":[57,181],"consider":[58],"two":[59],"scenarios:":[60],"1)":[61],"noncolluding":[62,85],"case":[63,74],"can":[66,77,114],"only":[67],"decode":[68,80],"messages":[69],"individually;":[70],"2)":[72],"colluding":[73,106],"collude":[78],"message.":[82],"For":[83,104],"case,":[86,107],"we":[87,198],"show":[88,182],"that":[89,183],"network":[91,147],"not":[95],"order-sense":[98],"presence":[101],"eavesdroppers.":[103],"per-node":[109],"\u0398([1/(\u221an)])":[113],"be":[115,158],"achieved":[116],"when":[117,163],"eavesdropper":[119],"density":[120,139],"\u03c8e(n)":[121],"O(n":[123],"<sup":[124,165,171],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[125,166,172],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-\u03b2</sup>":[126,167],"),":[127],"for":[128,152],"any":[129],"constant":[130],"\u03b2":[131],">":[132],"0":[133],"decreases":[135],"monotonously":[136],"increases.":[142],"The":[143],"upper":[144],"bounds":[145],"on":[146,206],"derived":[151],"cases":[154],"shown":[156],"achievable":[159,195],"our":[161],"scheme":[162],"\u03c8e(n)=O(n":[164],")":[168],"or":[169],"\u03c8e(n)=\u03a9(log":[170],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">[(\u03b1-2)/(\u03b1)]</sup>":[173],"n),":[174],"\u03b1":[176],"path-loss":[179],"gain.":[180],"there":[184],"clear":[187],"tradeoff":[188],"between":[189],"security":[191],"constraints":[192],"capacity.":[196],"Furthermore,":[197],"also":[199],"investigate":[200],"impact":[202,213],"dense":[210],"network,":[211],"active":[215],"attacks":[216],"other":[218],"traffic":[219],"patterns,":[220],"well":[222],"mobility":[224],"models":[225],"context.":[228]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}