{"id":"https://openalex.org/W3115457927","doi":"https://doi.org/10.23919/pemwn50727.2020.9293080","title":"On the Problem of Finding \"Sets Ensuring Linearly Independent Transversals\" (SELIT), and its Application to Network Coding","display_name":"On the Problem of Finding \"Sets Ensuring Linearly Independent Transversals\" (SELIT), and its Application to Network Coding","publication_year":2020,"publication_date":"2020-12-01","ids":{"openalex":"https://openalex.org/W3115457927","doi":"https://doi.org/10.23919/pemwn50727.2020.9293080","mag":"3115457927"},"language":"en","primary_location":{"id":"doi:10.23919/pemwn50727.2020.9293080","is_oa":false,"landing_page_url":"https://doi.org/10.23919/pemwn50727.2020.9293080","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 9th IFIP International Conference on Performance Evaluation and Modeling in Wireless Networks (PEMWN)","raw_type":"proceedings-article"},"type":"preprint","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/A5075874513","display_name":"Hirah Malik","orcid":"https://orcid.org/0000-0002-8022-1211"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hirah Malik","raw_affiliation_strings":["Inria, Saclay, Palaiseau, France","Inria Saclay - Ile de France (1 rue Honor\u00e9 d'Estienne d'Orves\r\n\r\nB\u00e2timent Alan Turing\r\n\r\nCampus de l'\u00c9cole Polytechnique\r\n\r\n91120 Palaiseau - France)"],"affiliations":[{"raw_affiliation_string":"Inria, Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"Inria Saclay - Ile de France (1 rue Honor\u00e9 d'Estienne d'Orves\r\n\r\nB\u00e2timent Alan Turing\r\n\r\nCampus de l'\u00c9cole Polytechnique\r\n\r\n91120 Palaiseau - France)","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075832513","display_name":"C\u00e9dric Adjih","orcid":"https://orcid.org/0000-0003-3924-5374"},"institutions":[{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cedric Adjih","raw_affiliation_strings":["Inria, Saclay, Palaiseau, France","Inria Saclay - Ile de France (1 rue Honor\u00e9 d'Estienne d'Orves\r\n\r\nB\u00e2timent Alan Turing\r\n\r\nCampus de l'\u00c9cole Polytechnique\r\n\r\n91120 Palaiseau - France)"],"affiliations":[{"raw_affiliation_string":"Inria, Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"Inria Saclay - Ile de France (1 rue Honor\u00e9 d'Estienne d'Orves\r\n\r\nB\u00e2timent Alan Turing\r\n\r\nCampus de l'\u00c9cole Polytechnique\r\n\r\n91120 Palaiseau - France)","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090674929","display_name":"Michel Kieffer","orcid":"https://orcid.org/0000-0002-1049-3123"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Kieffer","raw_affiliation_strings":["CNRS CentraleSupelec, L2S, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"CNRS CentraleSupelec, L2S, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053680671","display_name":"Claudio Weidmann","orcid":"https://orcid.org/0000-0002-7073-9981"},"institutions":[{"id":"https://openalex.org/I4210148552","display_name":"Equipes Traitement de l'Information et Syst\u00e8mes","ror":"https://ror.org/0592ata02","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210142324","https://openalex.org/I4210148552","https://openalex.org/I4210159245","https://openalex.org/I86175216"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Claudio Weidmann","raw_affiliation_strings":["ETIS UMR8051, CY University, ENSEA, CNRS, Cergy, France","ETIS - UMR 8051 - Equipes Traitement de l'Information et Syst\u00e8mes (6, avenue du Ponceau. F 95014 CERGY-PONTOISE CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"ETIS UMR8051, CY University, ENSEA, CNRS, Cergy, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ETIS - UMR 8051 - Equipes Traitement de l'Information et Syst\u00e8mes (6, avenue du Ponceau. F 95014 CERGY-PONTOISE CEDEX - France)","institution_ids":["https://openalex.org/I4210148552"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5075874513"],"corresponding_institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210126360"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2085548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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/T11478","display_name":"Caching and Content Delivery","score":0.9923999905586243,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9139999747276306,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.7179536819458008},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.6938016414642334},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.6344444155693054},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.6311519145965576},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.6056974530220032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5713151693344116},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.48172786831855774},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4396529197692871},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42487823963165283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4183429777622223},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.367139995098114},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09656080603599548},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06161373853683472}],"concepts":[{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.7179536819458008},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.6938016414642334},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.6344444155693054},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.6311519145965576},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.6056974530220032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5713151693344116},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.48172786831855774},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4396529197692871},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42487823963165283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4183429777622223},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.367139995098114},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09656080603599548},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06161373853683472},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/pemwn50727.2020.9293080","is_oa":false,"landing_page_url":"https://doi.org/10.23919/pemwn50727.2020.9293080","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 9th IFIP International Conference on Performance Evaluation and Modeling in Wireless Networks (PEMWN)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04492104v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-04492104","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2020 9th IFIP International Conference on Performance Evaluation and Modeling in Wireless Networks (PEMWN)","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W968309248","https://openalex.org/W1987068702","https://openalex.org/W2014952121","https://openalex.org/W2105831729","https://openalex.org/W2119861934","https://openalex.org/W2123051422","https://openalex.org/W2262362834","https://openalex.org/W3010034557","https://openalex.org/W3038594746","https://openalex.org/W3119743573","https://openalex.org/W6780429530"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W3009369890","https://openalex.org/W4312490297","https://openalex.org/W2062212388"],"abstract_inverted_index":{"This":[0,104],"paper":[1],"introduces":[2],"a":[3,44,76,99],"new":[4],"formal":[5],"mathematical":[6],"problem":[7],"initially":[8],"motivated":[9],"by":[10,32,109],"an":[11,80,106],"application":[12],"of":[13,24,52,102],"Network":[14],"Coding":[15],"(NC)":[16],"to":[17,78],"Information":[18],"Centric":[19],"Networks":[20],"(ICN).":[21],"It":[22,38,111],"is":[23,29,39,75,93,105],"more":[25],"limited":[26],"scope":[27],"but":[28],"remotely":[30],"inspired":[31],"the":[33,64,94],"well-known":[34],"index":[35],"coding":[36],"problem.":[37],"presented":[40],"as":[41],"follows:":[42],"\"given":[43],"vector":[45,60],"space,":[46],"can":[47],"one":[48,59,125],"construct":[49,79],"several":[50],"subsets":[51],"vectors,":[53],"such":[54],"that":[55,88,114],"when":[56],"drawing":[57],"arbitrarily":[58],"from":[61],"each":[62],"subset,":[63],"selected":[65],"vectors":[66],"would":[67],"be":[68],"always":[69],"linearly":[70],"independent?\".":[71],"Answering":[72],"this":[73,120],"question":[74],"step":[77],"ICN":[81],"efficient":[82],"scheme":[83],"with":[84],"NC.":[85],"We":[86],"prove":[87],"our":[89],"previously":[90],"introduced":[91],"construction":[92],"only":[95],"possible":[96],"solution":[97],"for":[98],"large":[100],"family":[101,121],"constructions.":[103],"important":[107],"result":[108],"itself.":[110],"also":[112],"implies":[113],"any":[115],"alternate":[116],"solutions":[117],"are":[118],"outside":[119],"and":[122],"we":[123],"propose":[124],"example.":[126]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}