{"id":"https://openalex.org/W2039664633","doi":"https://doi.org/10.1109/isit.2010.5513516","title":"On an outer bound and an inner bound for the general broadcast channel","display_name":"On an outer bound and an inner bound for the general broadcast channel","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2039664633","doi":"https://doi.org/10.1109/isit.2010.5513516","mag":"2039664633"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513516","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513516","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","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/A5015573260","display_name":"Amin Gohari","orcid":"https://orcid.org/0000-0002-9667-7627"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amin Aminzadeh Gohari","raw_affiliation_strings":["EECS Department, University of California, Berkeley, CA, USA","EECS Department University of California, Berkeley, 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Department, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS Department University of California, Berkeley, 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","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":["EE Department, University of Stanford, Stanford, CA, USA","EE Dept., Stanford University, CA 94305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EE Department, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"EE Dept., Stanford University, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013689450","display_name":"Venkat Anantharam","orcid":"https://orcid.org/0000-0002-6214-7927"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkat Anantharam","raw_affiliation_strings":["EECS Department, University of California, Berkeley, CA, USA","EECS Department University of California, Berkeley, 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Department, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS Department University of California, Berkeley, 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8253,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.93476992,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"540","last_page":"544"},"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":0.996399998664856,"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/T12029","display_name":"DNA and Biological Computing","score":0.9872999787330627,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7457020878791809},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5196644067764282},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5076740980148315},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5005989074707031},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4685092270374298},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.45902687311172485},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.45589685440063477},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39018285274505615},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.330445259809494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3292434513568878},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24358582496643066},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15062031149864197},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.089793860912323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07202419638633728}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7457020878791809},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5196644067764282},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5076740980148315},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5005989074707031},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4685092270374298},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.45902687311172485},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.45589685440063477},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39018285274505615},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.330445259809494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3292434513568878},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24358582496643066},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15062031149864197},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.089793860912323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07202419638633728},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2010.5513516","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513516","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1547414707","https://openalex.org/W1549664537","https://openalex.org/W1909901432","https://openalex.org/W1978188352","https://openalex.org/W2039664633","https://openalex.org/W2099111195","https://openalex.org/W2123577883","https://openalex.org/W2125369889","https://openalex.org/W2157639858","https://openalex.org/W2541816323","https://openalex.org/W2949446015","https://openalex.org/W6639744107"],"related_works":["https://openalex.org/W4308749380","https://openalex.org/W2037841693","https://openalex.org/W2372481764","https://openalex.org/W1977264433","https://openalex.org/W2746368218","https://openalex.org/W4308448008","https://openalex.org/W2347371661","https://openalex.org/W2012943989","https://openalex.org/W3005471417","https://openalex.org/W2287286086"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,36,71,108],"study":[4],"the":[5,22,33,41,67,79,84,92],"Nair-El":[6,23],"Gamal":[7,24],"outer":[8,25],"bound":[9,13,26],"and":[10,98],"Marton's":[11,54,87,104],"inner":[12,34,88,105,118],"for":[14,44,65,82,86],"general":[15,63],"two-receiver":[16],"broadcast":[17,47],"channels.":[18],"We":[19,90],"show":[20,37,99],"that":[21,75,100,112],"can":[27],"be":[28],"made":[29],"fully":[30],"computable.":[31],"For":[32],"bound,":[35],"that,":[38],"unlike":[39],"in":[40,62],"Gaussian":[42],"case,":[43],"a":[45,51,58,116],"degraded":[46],"channel":[48],"even":[49],"without":[50,57],"common":[52],"message,":[53],"coding":[55],"scheme":[56],"superposition":[59],"variable":[60],"is":[61],"insufficient":[64],"obtaining":[66],"capacity":[68,93],"region.":[69],"Further,":[70],"prove":[72],"various":[73],"results":[74],"help":[76],"to":[77,115],"restrict":[78],"search":[80],"space":[81],"computing":[83],"sum-rate":[85],"bound.":[89,106,119],"establish":[91],"region":[94],"along":[95],"certain":[96],"directions":[97],"it":[101],"coincides":[102],"with":[103],"Lastly,":[107],"discuss":[109],"an":[110],"idea":[111],"may":[113],"lead":[114],"larger":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"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"}
