{"id":"https://openalex.org/W2920987563","doi":"https://doi.org/10.23919/isita.2018.8664366","title":"On the Power of Vector Linear Network Coding","display_name":"On the Power of Vector Linear Network Coding","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2920987563","doi":"https://doi.org/10.23919/isita.2018.8664366","mag":"2920987563"},"language":"en","primary_location":{"id":"doi:10.23919/isita.2018.8664366","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664366","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/A5048074449","display_name":"Niladri Das","orcid":"https://orcid.org/0000-0002-9494-2845"},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Niladri Das","raw_affiliation_strings":["Department of Electronics and Electrical Engineering, Indian Institute of Technology Guwahati"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Electrical Engineering, Indian Institute of Technology Guwahati","institution_ids":["https://openalex.org/I1317621060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031492698","display_name":"Brijesh Kumar","orcid":"https://orcid.org/0000-0001-9719-956X"},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Brijesh Kumar Rai","raw_affiliation_strings":["Department of Electronics and Electrical Engineering, Indian Institute of Technology Guwahati"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Electrical Engineering, Indian Institute of Technology Guwahati","institution_ids":["https://openalex.org/I1317621060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048074449"],"corresponding_institution_ids":["https://openalex.org/I1317621060"],"apc_list":null,"apc_paid":null,"fwci":0.3691,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67099296,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"232","last_page":"236"},"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9606999754905701,"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":0.9362000226974487,"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/linear-network-coding","display_name":"Linear network coding","score":0.8123456835746765},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6907014846801758},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6514652967453003},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.5375926494598389},{"id":"https://openalex.org/keywords/vector-laplacian","display_name":"Vector Laplacian","score":0.49178698658943176},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.48392993211746216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.481544554233551},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.47716063261032104},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.477050244808197},{"id":"https://openalex.org/keywords/vector-potential","display_name":"Vector potential","score":0.4597172737121582},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.44794559478759766},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40861204266548157},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37303346395492554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3614048361778259},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31031954288482666},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28651338815689087},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18653005361557007},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1737540066242218},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.08447739481925964},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07949569821357727}],"concepts":[{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.8123456835746765},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6907014846801758},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6514652967453003},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.5375926494598389},{"id":"https://openalex.org/C37312099","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Vector Laplacian","level":4,"score":0.49178698658943176},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.48392993211746216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.481544554233551},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.47716063261032104},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.477050244808197},{"id":"https://openalex.org/C2027888","wikidata":"https://www.wikidata.org/wiki/Q521126","display_name":"Vector potential","level":3,"score":0.4597172737121582},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.44794559478759766},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40861204266548157},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37303346395492554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3614048361778259},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31031954288482666},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28651338815689087},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18653005361557007},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1737540066242218},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.08447739481925964},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07949569821357727},{"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/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/isita.2018.8664366","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664366","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1483151078","https://openalex.org/W2105831729","https://openalex.org/W2167703619","https://openalex.org/W2475505336","https://openalex.org/W2791874884","https://openalex.org/W2963430405","https://openalex.org/W3080929694","https://openalex.org/W3098342432","https://openalex.org/W6782648086"],"related_works":["https://openalex.org/W2962934782","https://openalex.org/W4302314184","https://openalex.org/W2036447444","https://openalex.org/W2266819685","https://openalex.org/W4210331724","https://openalex.org/W4366307899","https://openalex.org/W2112617451","https://openalex.org/W2003029503","https://openalex.org/W2565000035","https://openalex.org/W2478780871"],"abstract_inverted_index":{"This":[0],"paper":[1,78],"presents":[2],"yet":[3],"another":[4],"instance":[5],"of":[6,9,26,43,84,101,131],"the":[7,24,27,44,82,99,129,132],"power":[8],"vector":[10,34,73,92,141],"linear":[11,16,35,52,68,74,93,109,123,142],"network":[12,17,89,118],"coding":[13],"over":[14,86,103,144],"scalar":[15,51,67,108,122],"coding.":[18],"Previous":[19],"works":[20],"have":[21,65,71],"established":[22],"that":[23,41,81],"size":[25,42],"finite":[28,45,133,146],"field":[29,46,134],"required":[30,47],"to":[31,48],"achieve":[32,49],"a":[33,50,66,72,88,91,107,117,121,139],"solution":[36,69,94,124,143],"may":[37,95],"be":[38,96],"smaller":[39],"than":[40,98],"solution.":[53,75,110],"It":[54],"has":[55,90,106,120,138],"been":[56],"also":[57],"shown":[58],"there":[59],"exist":[60],"networks":[61],"which":[62,87,104,119],"do":[63],"not":[64],"but":[70,137],"In":[76],"this":[77,113],"we":[79],"show":[80],"set":[83,100],"characteristics":[85,102],"larger":[97],"it":[105],"We":[111],"prove":[112],"result":[114],"by":[115],"showing":[116],"if":[125,128],"and":[126],"only":[127],"characteristic":[130],"is":[135],"2,":[136],"2-dimensional":[140],"every":[145],"fields.":[147]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
