{"id":"https://openalex.org/W2039499262","doi":"https://doi.org/10.1109/tit.2012.2184668","title":"Three-Receiver Broadcast Channels With Common and Confidential Messages","display_name":"Three-Receiver Broadcast Channels With Common and Confidential Messages","publication_year":2012,"publication_date":"2012-01-31","ids":{"openalex":"https://openalex.org/W2039499262","doi":"https://doi.org/10.1109/tit.2012.2184668","mag":"2039499262"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2184668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2184668","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/A5103477649","display_name":"Yeow-Khiang Chia","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yeow-Khiang Chia","raw_affiliation_strings":["Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078716556","display_name":"Abbas El Gamal","orcid":"https://orcid.org/0000-0002-0853-0415"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abbas El Gamal","raw_affiliation_strings":["Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.4958,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.96966622,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"58","issue":"5","first_page":"2748","last_page":"2765"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"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":1.0,"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":0.9987999796867371,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9837999939918518,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/secrecy","display_name":"Secrecy","score":0.7716720104217529},{"id":"https://openalex.org/keywords/information-theoretic-security","display_name":"Information-theoretic security","score":0.728634238243103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7064540982246399},{"id":"https://openalex.org/keywords/codebook","display_name":"Codebook","score":0.7024672627449036},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6920298933982849},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.5163828134536743},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5128729343414307},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5096473693847656},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46004652976989746},{"id":"https://openalex.org/keywords/confidentiality","display_name":"Confidentiality","score":0.4271974265575409},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.382673442363739},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3314835727214813},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2988615334033966},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2923505902290344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23900794982910156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2334098219871521},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0686749815940857}],"concepts":[{"id":"https://openalex.org/C2776452267","wikidata":"https://www.wikidata.org/wiki/Q1503443","display_name":"Secrecy","level":2,"score":0.7716720104217529},{"id":"https://openalex.org/C47191418","wikidata":"https://www.wikidata.org/wiki/Q3510462","display_name":"Information-theoretic security","level":3,"score":0.728634238243103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7064540982246399},{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.7024672627449036},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6920298933982849},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.5163828134536743},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5128729343414307},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5096473693847656},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46004652976989746},{"id":"https://openalex.org/C71745522","wikidata":"https://www.wikidata.org/wiki/Q2476929","display_name":"Confidentiality","level":2,"score":0.4271974265575409},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.382673442363739},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3314835727214813},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2988615334033966},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2923505902290344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23900794982910156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2334098219871521},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0686749815940857},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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":1,"locations":[{"id":"doi:10.1109/tit.2012.2184668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2184668","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":[{"score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1978188352","https://openalex.org/W2009132493","https://openalex.org/W2043769961","https://openalex.org/W2044951885","https://openalex.org/W2079364662","https://openalex.org/W2115894396","https://openalex.org/W2116789335","https://openalex.org/W2122627558","https://openalex.org/W2130334496","https://openalex.org/W2135536003","https://openalex.org/W2144007657","https://openalex.org/W2157032401","https://openalex.org/W2172233962","https://openalex.org/W2478708596","https://openalex.org/W2536833123","https://openalex.org/W4293702014","https://openalex.org/W4300840296"],"related_works":["https://openalex.org/W2150391494","https://openalex.org/W4323970276","https://openalex.org/W2951637176","https://openalex.org/W2150528942","https://openalex.org/W2154832352","https://openalex.org/W1483037127","https://openalex.org/W2340481533","https://openalex.org/W2898567960","https://openalex.org/W2036210457","https://openalex.org/W2369043755"],"abstract_inverted_index":{"This":[0,140],"paper":[1,106],"establishes":[2],"inner":[3,73,141],"bounds":[4],"on":[5],"the":[6,11,32,46,60,97,109,123],"secrecy":[7,65],"capacity":[8],"regions":[9],"for":[10,80,149],"general":[12],"three-receiver":[13],"broadcast":[14,86],"channel":[15,57,135],"with":[16],"one":[17,20,117],"common":[18],"and":[19,42,59,88,119,137],"confidential":[21,33,110],"message":[22,34,111],"sets.":[23],"We":[24],"consider":[25],"two":[26,40,125],"setups.":[27],"The":[28,72,100],"first":[29],"is":[30,35,50,75,107,112,143],"when":[31,89,108],"to":[36,39,77,113,116,146],"be":[37,78,114,147],"sent":[38,115],"receivers":[41,92],"kept":[43,120],"secret":[44,121],"from":[45,66,122,132],"third":[47,98],"receiver.":[48,99],"Achievability":[49,127],"established":[51],"using":[52],"indirect":[53,138],"decoding,":[54],"Wyner":[55,133],"wiretap":[56,134],"coding,":[58],"new":[61],"idea":[62],"of":[63,83],"generating":[64],"a":[67,81],"publicly":[68],"available":[69],"superposition":[70],"codebook.":[71],"bound":[74,142],"shown":[76,145],"tight":[79,148],"class":[82],"reversely":[84],"degraded":[85],"channels":[87],"both":[90],"legitimate":[91],"are":[93],"less":[94],"noisy":[95],"than":[96],"second":[101],"setup":[102],"investigated":[103],"in":[104,128],"this":[105,129],"receiver":[118],"other":[124],"receivers.":[126],"case":[130],"follows":[131],"coding":[136],"decoding.":[139],"also":[144],"several":[150],"special":[151],"cases.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
