{"id":"https://openalex.org/W2962976710","doi":"https://doi.org/10.1109/itw.2011.6089588","title":"Towards the capacity region of multiplicative linear operator broadcast channels","display_name":"Towards the capacity region of multiplicative linear operator broadcast channels","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2962976710","doi":"https://doi.org/10.1109/itw.2011.6089588","mag":"2962976710"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2011.6089588","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2011.6089588","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Information Theory Workshop","raw_type":"proceedings-article"},"type":"conference-paper","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/A5002912318","display_name":"Yimin Pang","orcid":"https://orcid.org/0000-0003-1818-4998"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yimin Pang","raw_affiliation_strings":["Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086666884","display_name":"Thomas Honold","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Thomas Honold","raw_affiliation_strings":["Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"703","last_page":"707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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":1.0,"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":0.9632999897003174,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9337999820709229,"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/computer-science","display_name":"Computer science","score":0.6333664059638977},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5662714838981628},{"id":"https://openalex.org/keywords/broadcasting","display_name":"Broadcasting (networking)","score":0.5622504353523254},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5507460832595825},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.5498188138008118},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.5418234467506409},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5284557342529297},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.49528804421424866},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4844827353954315},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.48420003056526184},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.447103351354599},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3503384590148926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29283976554870605}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6333664059638977},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5662714838981628},{"id":"https://openalex.org/C110157686","wikidata":"https://www.wikidata.org/wiki/Q922122","display_name":"Broadcasting (networking)","level":2,"score":0.5622504353523254},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5507460832595825},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.5498188138008118},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.5418234467506409},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5284557342529297},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.49528804421424866},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4844827353954315},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.48420003056526184},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.447103351354599},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3503384590148926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29283976554870605},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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":1,"locations":[{"id":"doi:10.1109/itw.2011.6089588","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2011.6089588","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1609085760","https://openalex.org/W1966367376","https://openalex.org/W1972508619","https://openalex.org/W2006601662","https://openalex.org/W2029236670","https://openalex.org/W2048235391","https://openalex.org/W2055060019","https://openalex.org/W2058891692","https://openalex.org/W2098313715","https://openalex.org/W2098577979","https://openalex.org/W2099111195","https://openalex.org/W2104185112","https://openalex.org/W2105831729","https://openalex.org/W2106403318","https://openalex.org/W2113444306","https://openalex.org/W2118174516","https://openalex.org/W2122627558","https://openalex.org/W2123562143","https://openalex.org/W2125306810","https://openalex.org/W2128461347","https://openalex.org/W2135298608","https://openalex.org/W2138928022","https://openalex.org/W2139416652","https://openalex.org/W2148986322","https://openalex.org/W2161405788","https://openalex.org/W2162421771","https://openalex.org/W3099741249","https://openalex.org/W3101800757","https://openalex.org/W3102505708","https://openalex.org/W3103260357","https://openalex.org/W6643324419"],"related_works":["https://openalex.org/W2072016134","https://openalex.org/W2351168932","https://openalex.org/W2465690287","https://openalex.org/W2376389741","https://openalex.org/W2108143034","https://openalex.org/W1997850251","https://openalex.org/W2084549431","https://openalex.org/W913430005","https://openalex.org/W1509695971","https://openalex.org/W1985021129"],"abstract_inverted_index":{"Recent":[0],"research":[1],"indicates":[2],"that":[3],"packet":[4,38],"transmission":[5],"employing":[6],"random":[7],"linear":[8,19,31],"network":[9],"coding":[10],"can":[11],"be":[12],"regarded":[13],"as":[14],"transmitting":[15],"subspaces":[16],"over":[17,40],"a":[18,56],"operator":[20,32],"channel":[21],"(LOC).":[22],"In":[23],"this":[24],"paper":[25],"we":[26,43],"propose":[27],"the":[28,48,83,86,90],"framework":[29],"of":[30,51,58,85],"broadcast":[33,59],"channels":[34],"(LOBCs)":[35],"to":[36,81],"model":[37],"broadcasting":[39],"LOCs,":[41],"and":[42,70,75],"do":[44],"initial":[45],"work":[46],"on":[47],"capacity":[49,87],"region":[50,88],"constant-dimension":[52],"multiplicative":[53],"LOBCs":[54],"(CMLOBCs),":[55],"generalization":[57],"erasure":[60],"channels.":[61],"Two":[62],"fundamental":[63],"problems":[64],"regarding":[65],"CMLOBCs":[66],"are":[67],"addressed-finding":[68],"necessary":[69],"sufficient":[71],"conditions":[72],"for":[73],"degradation":[74],"deciding":[76],"whether":[77],"time":[78],"sharing":[79],"suffices":[80],"achieve":[82],"boundary":[84],"in":[89],"degraded":[91],"case.":[92]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}