{"id":"https://openalex.org/W1647098997","doi":"https://doi.org/10.1109/isit.2015.7282462","title":"The private key capacity of a cooperative pairwise-independent network","display_name":"The private key capacity of a cooperative pairwise-independent network","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1647098997","doi":"https://doi.org/10.1109/isit.2015.7282462","mag":"1647098997"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282462","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282462","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","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/A5103147008","display_name":"Peng Xu","orcid":"https://orcid.org/0000-0002-0757-3894"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]},{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peng Xu","raw_affiliation_strings":["Key Lab of Wireless-Optical Commun., Univ. Science & Tech. China, Hefei, Anhui, P.R. China","Key Lab of Wireless-Optical Commun., Chinese Acad. of Sciences, Sch. Info Science & Tech., Univ. Science & Tech. China, Hefei, Anhui, 230027, China"],"affiliations":[{"raw_affiliation_string":"Key Lab of Wireless-Optical Commun., Univ. Science & Tech. China, Hefei, Anhui, P.R. China","institution_ids":["https://openalex.org/I126520041","https://openalex.org/I143868143"]},{"raw_affiliation_string":"Key Lab of Wireless-Optical Commun., Chinese Acad. of Sciences, Sch. Info Science & Tech., Univ. Science & Tech. China, Hefei, Anhui, 230027, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002904166","display_name":"Zhiguo Ding","orcid":"https://orcid.org/0000-0001-5280-384X"},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zhiguo Ding","raw_affiliation_strings":["School of Computing and Communications, Lancaster University, UK","Sch. of Computing and Communications, Lancaster University, LA1 4WA, UK"],"affiliations":[{"raw_affiliation_string":"School of Computing and Communications, Lancaster University, UK","institution_ids":["https://openalex.org/I67415387"]},{"raw_affiliation_string":"Sch. of Computing and Communications, Lancaster University, LA1 4WA, UK","institution_ids":["https://openalex.org/I67415387"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035078428","display_name":"Xuchu Dai","orcid":"https://orcid.org/0000-0002-5190-7660"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]},{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuchu Dai","raw_affiliation_strings":["Key Lab of Wireless-Optical Commun., Univ. Science & Tech. China, Hefei, Anhui, P.R. China","Key Lab of Wireless-Optical Commun., Chinese Acad. of Sciences, Sch. Info Science & Tech., Univ. Science & Tech. China, Hefei, Anhui, 230027, China"],"affiliations":[{"raw_affiliation_string":"Key Lab of Wireless-Optical Commun., Univ. Science & Tech. China, Hefei, Anhui, P.R. China","institution_ids":["https://openalex.org/I126520041","https://openalex.org/I143868143"]},{"raw_affiliation_string":"Key Lab of Wireless-Optical Commun., Chinese Acad. of Sciences, Sch. Info Science & Tech., Univ. Science & Tech. China, Hefei, Anhui, 230027, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103147008"],"corresponding_institution_ids":["https://openalex.org/I126520041","https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":0.8028,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75788602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"5","issue":null,"first_page":"286","last_page":"290"},"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":0.9997000098228455,"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/T11498","display_name":"Security in Wireless Sensor Networks","score":0.9937000274658203,"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/key","display_name":"Key (lock)","score":0.7950308322906494},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6985064148902893},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.626809298992157},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6211913228034973},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.6051532030105591},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.5658756494522095},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.5513739585876465},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5115981698036194},{"id":"https://openalex.org/keywords/key-generation","display_name":"Key generation","score":0.4606063961982727},{"id":"https://openalex.org/keywords/pairwise-independence","display_name":"Pairwise independence","score":0.43189889192581177},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.42642539739608765},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.4121832847595215},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38315388560295105},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2744159400463104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25731974840164185},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.22186115384101868},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.12408846616744995},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1015586256980896},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07357531785964966}],"concepts":[{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.7950308322906494},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6985064148902893},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.626809298992157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6211913228034973},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.6051532030105591},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.5658756494522095},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.5513739585876465},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5115981698036194},{"id":"https://openalex.org/C163173736","wikidata":"https://www.wikidata.org/wiki/Q3308558","display_name":"Key generation","level":3,"score":0.4606063961982727},{"id":"https://openalex.org/C114928208","wikidata":"https://www.wikidata.org/wiki/Q17104952","display_name":"Pairwise independence","level":5,"score":0.43189889192581177},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.42642539739608765},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.4121832847595215},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38315388560295105},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2744159400463104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25731974840164185},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.22186115384101868},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.12408846616744995},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1015586256980896},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07357531785964966},{"id":"https://openalex.org/C182514268","wikidata":"https://www.wikidata.org/wiki/Q7636889","display_name":"Sum of normally distributed random variables","level":4,"score":0.0},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2015.7282462","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282462","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.lancs.ac.uk:81341","is_oa":false,"landing_page_url":"https://eprints.lancs.ac.uk/id/eprint/81341/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Contribution in Book/Report/Proceedings"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1974115142","https://openalex.org/W1992840746","https://openalex.org/W1995600116","https://openalex.org/W1997834106","https://openalex.org/W2005962614","https://openalex.org/W2007562433","https://openalex.org/W2014092260","https://openalex.org/W2014912629","https://openalex.org/W2070573401","https://openalex.org/W2108777864","https://openalex.org/W2131110609","https://openalex.org/W2144387589","https://openalex.org/W2154832352","https://openalex.org/W4300840296"],"related_works":["https://openalex.org/W2117280242","https://openalex.org/W2356627548","https://openalex.org/W2118324279","https://openalex.org/W4385492263","https://openalex.org/W2144910318","https://openalex.org/W2056664669","https://openalex.org/W2272369031","https://openalex.org/W2194570607","https://openalex.org/W2047762395","https://openalex.org/W3014037687"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,29,32,59,81,126,133,148,159,170,180,188],"private":[4,26,40,100,166],"key":[5,27,41,101,122],"generation":[6,123],"of":[7,31,66,70,78,103,135,161],"a":[8,25,39,89,116,153],"cooperative":[9,154],"pairwise-independent":[10],"network":[11,156],"(PIN)":[12],"with":[13,85],"M":[14,33,35,136,192],"+":[15],"2":[16],"terminals,":[17],"where":[18],"Alice":[19],"and":[20,125,157],"Bob":[21],"wish":[22],"to":[23,43,145,164,169,186],"generate":[24,165],"under":[28],"help":[30],"relays,":[34],"\u2265":[36],"2;":[37],"such":[38],"needs":[42],"be":[44,146],"protected":[45],"not":[46],"only":[47],"from":[48,52],"Eve":[49,97],"but":[50],"also":[51,94],"individual":[53],"relays":[54],"simultaneously.":[55],"In":[56],"this":[57,104],"PIN,":[58],"correlated":[60],"source":[61,138],"observed":[62,73,95],"by":[63,74,96,114],"every":[64],"pair":[65,77],"terminals":[67,82],"is":[68,93,107,112,129,178,184],"independent":[69],"those":[71],"sources":[72],"any":[75],"other":[76,87],"terminals.":[79],"All":[80],"can":[83],"communicate":[84],"each":[86],"over":[88],"public":[90],"channel":[91],"which":[92],"noiselessly.":[98],"The":[99,140],"capacity":[102],"PIN":[105],"model":[106],"established,":[108],"whose":[109,174],"lower":[110],"bound":[111,128],"obtained":[113,130],"proposing":[115],"novel":[117],"random":[118],"binning":[119],"(RB)":[120],"based":[121,131],"algorithm,":[124],"upper":[127],"on":[132],"construction":[134],"enhanced":[137],"models.":[139],"two":[141],"bounds":[142],"are":[143],"shown":[144],"exactly":[147],"same.":[149],"Then,":[150],"we":[151],"consider":[152],"wireless":[155],"use":[158],"estimates":[160],"fading":[162],"channels":[163],"keys.":[167],"Compared":[168],"existing":[171],"XOR-based":[172],"algorithm":[173,183],"achievable":[175],"multiplexing":[176,190],"gain":[177,191],"\u230aM/2\u230b,":[179],"proposed":[181],"RB-based":[182],"demonstrated":[185],"achieve":[187],"optimal":[189],"-":[193],"1.":[194]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}