{"id":"https://openalex.org/W2921439919","doi":"https://doi.org/10.23919/isita.2018.8664234","title":"Optimal Scalar Linear Index Codes for Some Two-Sender Unicast Index Coding Problems","display_name":"Optimal Scalar Linear Index Codes for Some Two-Sender Unicast Index Coding Problems","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2921439919","doi":"https://doi.org/10.23919/isita.2018.8664234","mag":"2921439919"},"language":"en","primary_location":{"id":"doi:10.23919/isita.2018.8664234","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","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/A5067979087","display_name":"A Chinmayananda","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"A. Chinmayananda","raw_affiliation_strings":["Dept. of Electrical Communication Engg., Indian Institute of Science, Bengaluru, KA, India"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Communication Engg., Indian Institute of Science, Bengaluru, KA, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015398340","display_name":"B. Sundar Rajan","orcid":"https://orcid.org/0000-0002-7847-0200"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. Sundar Rajan","raw_affiliation_strings":["Dept. of Electrical Communication Engg., Indian Institute of Science, Bengaluru, KA, India"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Communication Engg., Indian Institute of Science, Bengaluru, KA, India","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067979087"],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":0.5862,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73935249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"105","last_page":"109"},"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/T11478","display_name":"Caching and Content Delivery","score":0.9968000054359436,"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":0.9879000186920166,"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/unicast","display_name":"Unicast","score":0.8663202524185181},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6178898215293884},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5781667828559875},{"id":"https://openalex.org/keywords/communication-source","display_name":"Communication source","score":0.5574917197227478},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5542018413543701},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47775569558143616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4759927988052368},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.46253159642219543},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.4292046129703522},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.401007741689682},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38472995162010193},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.33152586221694946},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.24495112895965576},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09736412763595581},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08402615785598755}],"concepts":[{"id":"https://openalex.org/C11704745","wikidata":"https://www.wikidata.org/wiki/Q918337","display_name":"Unicast","level":3,"score":0.8663202524185181},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6178898215293884},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5781667828559875},{"id":"https://openalex.org/C198104137","wikidata":"https://www.wikidata.org/wiki/Q974688","display_name":"Communication source","level":2,"score":0.5574917197227478},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5542018413543701},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47775569558143616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4759927988052368},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.46253159642219543},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4292046129703522},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.401007741689682},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38472995162010193},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.33152586221694946},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.24495112895965576},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09736412763595581},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08402615785598755},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/isita.2018.8664234","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.iisc.ac.in:62907","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Proceedings"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1479863711","https://openalex.org/W1512160561","https://openalex.org/W1972738071","https://openalex.org/W1974811277","https://openalex.org/W2105406958","https://openalex.org/W2111851330","https://openalex.org/W2130507035","https://openalex.org/W2148940141","https://openalex.org/W2527502753","https://openalex.org/W2610397343","https://openalex.org/W2770103714","https://openalex.org/W2796873834","https://openalex.org/W2949511711","https://openalex.org/W2962985178","https://openalex.org/W3101887184","https://openalex.org/W3106198739","https://openalex.org/W6737166877","https://openalex.org/W6746046056","https://openalex.org/W6750338454"],"related_works":["https://openalex.org/W2508558984","https://openalex.org/W3008817519","https://openalex.org/W4288633135","https://openalex.org/W2952300997","https://openalex.org/W2794998165","https://openalex.org/W2910872135","https://openalex.org/W4288375770","https://openalex.org/W2931591690","https://openalex.org/W2930886415","https://openalex.org/W2059349845"],"abstract_inverted_index":{"In":[0],"this":[1,189],"paper,":[2],"two-sender":[3],"unicast":[4,37],"index":[5,38,89],"coding":[6,39],"problem":[7],"(TUICP)":[8],"is":[9,28,75,131],"studied,":[10],"where":[11],"the":[12,43,57,61,66,71,79,84,101,118,142,147,164,178,195,206],"senders":[13],"possibly":[14],"have":[15],"some":[16],"messages":[17,69],"in":[18],"common,":[19],"and":[20,42,172,194],"each":[21],"receiver":[22],"requests":[23],"a":[24,92,108,135,173,183],"unique":[25],"message.":[26],"It":[27],"analyzed":[29],"using":[30,98,117],"three":[31,52],"independent":[32],"subproblems":[33],"(which":[34],"are":[35,49,96,115,150,180,200],"single-sender":[36],"problems":[40],"(SUICPs))":[41],"interactions":[44,82],"among":[45,83],"them.":[46],"These":[47],"sub-problems":[48],"described":[50],"by":[51],"disjoint":[53,151],"vertex-induced":[54],"subgraphs":[55],"of":[56,60,68,81,94,100,120,123,138,145,153,155,166,177,185,205],"side-information":[58],"graph":[59],"TUICP":[62,74,95],"respectively,":[63],"based":[64,77],"on":[65,78],"availability":[67],"at":[70],"senders.":[72],"The":[73],"classified":[76],"type":[80],"sub-problems.":[85,102],"Optimal":[86],"scalar":[87,112,191],"linear":[88,113,170,192],"codes":[90,114,171,179,193],"for":[91,110,175,182,197,202],"class":[93,184],"obtained":[97,116,201],"those":[99],"For":[103],"two":[104,203],"classes,":[105],"we":[106],"identify":[107],"sub-class":[109],"which":[111],"notion":[119,165],"joint":[121,136,186],"extensions":[122,162],"SUICPs.":[124],"An":[125],"SUICP":[126],"I":[127,156],"<sub":[128,157],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[129,158],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">E</sub>":[130,159],"said":[132],"to":[133],"be":[134],"extension":[137],"l":[139,148],"SUICPs":[140,149],"if":[141],"fitting":[143],"matrices":[144],"all":[146],"submatrices":[152],"that":[154],".":[160],"Joint":[161],"generalize":[163],"rank-invariant":[167],"extensions.":[168,187],"Scalar":[169],"condition":[174],"optimality":[176,199],"given":[181],"Using":[188],"result,":[190],"conditions":[196],"their":[198],"classes":[204],"TUICP.":[207]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
