{"id":"https://openalex.org/W2161470672","doi":"https://doi.org/10.1109/itwitwn.2007.4318043","title":"On the Strong Converse for the Broadcast Capacity Region of Two-Pase Bidirectional Relaying","display_name":"On the Strong Converse for the Broadcast Capacity Region of Two-Pase Bidirectional Relaying","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2161470672","doi":"https://doi.org/10.1109/itwitwn.2007.4318043","mag":"2161470672"},"language":"en","primary_location":{"id":"doi:10.1109/itwitwn.2007.4318043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itwitwn.2007.4318043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks","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/A5064460928","display_name":"Igor Bjelakovi\u0107","orcid":"https://orcid.org/0000-0002-4588-6357"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Igor Bjelakovic","raw_affiliation_strings":["Technical University of Berlin, Institut f\u00fcr Mathematik, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Technical University of Berlin, Institut f\u00fcr Mathematik, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079492269","display_name":"Tobias J. Oechtering","orcid":"https://orcid.org/0000-0002-0036-9049"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias J. Oechtering","raw_affiliation_strings":["Heinrich-Hertz-Chair for Mobile Communications, Technical University of Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Heinrich-Hertz-Chair for Mobile Communications, Technical University of Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003505319","display_name":"Clemens Schnurr","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Clemens Schnurr","raw_affiliation_strings":["Technical University of Berlin, Institut f\u00fcr Mathematik, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Technical University of Berlin, Institut f\u00fcr Mathematik, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000732219","display_name":"Holger Boche","orcid":"https://orcid.org/0000-0002-8375-8946"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Holger Boche","raw_affiliation_strings":["Technical University of Berlin, Institut f\u00fcr Mathematik, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Technical University of Berlin, Institut f\u00fcr Mathematik, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064460928"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":1.3536,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.84302298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9869999885559082,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9793999791145325,"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/converse","display_name":"Converse","score":0.9365379810333252},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.6101728677749634},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.5107643604278564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4823174476623535},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.47791963815689087},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4447649419307709},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43414053320884705},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.429416298866272},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42688918113708496},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42456716299057007},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.421405553817749},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39436858892440796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39160430431365967},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36184272170066833},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31682199239730835},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2709343731403351},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2563437521457672},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1451874077320099},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10650691390037537}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.9365379810333252},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.6101728677749634},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.5107643604278564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4823174476623535},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.47791963815689087},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4447649419307709},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43414053320884705},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.429416298866272},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42688918113708496},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42456716299057007},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.421405553817749},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39436858892440796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39160430431365967},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36184272170066833},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31682199239730835},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2709343731403351},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2563437521457672},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1451874077320099},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10650691390037537},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/itwitwn.2007.4318043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itwitwn.2007.4318043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks","raw_type":"proceedings-article"},{"id":"pmh:oai:fraunhofer.de:N-68488","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-68488.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer HHI","raw_type":"Conference Paper"},{"id":"pmh:oai:publica.fraunhofer.de:publica/355775","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/355775","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1530386473","https://openalex.org/W1549664537","https://openalex.org/W1592482298","https://openalex.org/W2014031743","https://openalex.org/W2090226360","https://openalex.org/W2098567664","https://openalex.org/W2115602633","https://openalex.org/W2129504043","https://openalex.org/W2168169614","https://openalex.org/W3173652044","https://openalex.org/W6633073622","https://openalex.org/W6635532581","https://openalex.org/W6684359686","https://openalex.org/W6797322502"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W4297790016","https://openalex.org/W2359260952","https://openalex.org/W2769269860","https://openalex.org/W2151578621","https://openalex.org/W2020347709"],"abstract_inverted_index":{"In":[0,53],"our":[1,58],"previous":[2],"work":[3],"we":[4,56],"determined":[5],"the":[6,11,23,32,41,50,64,70,75,79,86],"weak":[7],"capacity":[8,87],"region":[9,88],"for":[10,78,94],"broadcast":[12,80],"phase":[13,91],"of":[14,25,63,89,98,100],"two-phase":[15],"bidirectional":[16],"relay":[17],"channel.":[18],"It":[19],"turned":[20],"out":[21],"that":[22,37,85,90],"set":[24],"achievable":[26],"rates":[27],"obtained":[28,38],"by":[29,39,46,60],"optimizing":[30],"over":[31],"two":[33],"communication":[34],"phases":[35],"exceeds":[36],"using":[40],"network":[42],"coding":[43,76],"principle,":[44],"i.e.":[45],"applying":[47],"XOR":[48],"to":[49,69,74],"decoded":[51],"messages.":[52],"this":[54],"paper":[55],"supplement":[57],"result":[59,83],"a":[61,95],"proof":[62],"strong":[65],"converse":[66],"with":[67],"respect":[68],"maximum":[71],"error":[72,102],"probability":[73],"theorem":[77],"phase.":[81],"This":[82],"implies":[84],"remains":[92],"constant":[93],"certain":[96],"range":[97],"values":[99],"average":[101],"parameters":[103],"[epsiv":[104],"<sub":[105,109],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[106,110],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[107],",epsiv":[108],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[111],"].":[112]},"counts_by_year":[],"updated_date":"2026-03-30T08:08:38.191290","created_date":"2025-10-10T00:00:00"}
