{"id":"https://openalex.org/W4404822338","doi":"https://doi.org/10.37236/12424","title":"On the Minimum Size of Linear Sets","display_name":"On the Minimum Size of Linear Sets","publication_year":2024,"publication_date":"2024-11-28","ids":{"openalex":"https://openalex.org/W4404822338","doi":"https://doi.org/10.37236/12424"},"language":"en","primary_location":{"id":"doi:10.37236/12424","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12424","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p52/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p52/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031469231","display_name":"Sam Adriaensen","orcid":"https://orcid.org/0000-0002-0925-9305"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sam Adriaensen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101964663","display_name":"Paolo Santonastaso","orcid":"https://orcid.org/0000-0002-9525-7049"},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Santonastaso","raw_affiliation_strings":["University of Campania \"Luigi Vanvitelli\""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Campania \"Luigi Vanvitelli\"","institution_ids":["https://openalex.org/I197809005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031469231"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3885,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62480472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"31","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.36399999260902405,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.36399999260902405,"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/mathematics","display_name":"Mathematics","score":0.38680893182754517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3633357882499695}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38680893182754517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3633357882499695}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/12424","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12424","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p52/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:180237","is_oa":true,"landing_page_url":"https://biblio.vub.ac.be/vubir/on-the-minimum-size-of-linear-sets(6f9a8e6d-7c80-464e-a817-098cfea90695).html","pdf_url":"https://biblio.vub.ac.be/vubirfiles/121079339/2024e_Adriaensen_Santonastaso_On_the_Minimum_Size_of_Linear_Sets.pdf","source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"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":"publishedVersion"}],"best_oa_location":{"id":"doi:10.37236/12424","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12424","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p52/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320322634","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04"},{"id":"https://openalex.org/F4320334045","display_name":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404822338.pdf","grobid_xml":"https://content.openalex.org/works/W4404822338.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Recently,":[0],"a":[1,14,17,47,52,96,105],"lower":[2,54,106],"bound":[3,29,38,55],"on":[4,56],"the":[5,57,86,91,100],"size":[6,58],"of":[7,59,80],"linear":[8,40,81],"sets":[9,41,82],"in":[10,16,46,66,85,90,99],"projective":[11],"spaces":[12],"intersecting":[13],"hyperplane":[15],"canonical":[18,48],"subgeometry":[19],"was":[20],"established.":[21],"There":[22],"are":[23],"several":[24],"constructions":[25,79],"showing":[26],"that":[27,68,93,102],"this":[28,33,37],"is":[30,74,95,104],"tight.":[31],"In":[32],"paper,":[34],"we":[35],"generalize":[36],"to":[39],"meeting":[42],"some":[43],"subspace":[44],"$\\pi$":[45,94,103],"subgeometry.":[49],"We":[50,76],"obtain":[51],"tight":[53],"any":[60],"${\\mathbb":[61],"F}_{q}$-linear":[62],"set":[63],"spanning":[64],"$\\mathrm{PG}(d,q^n)$":[65],"case":[67,92,101],"$n":[69],"\\leq":[70],"q$":[71],"and":[72,98],"$n$":[73],"prime.":[75],"also":[77],"give":[78],"attaining":[83],"equality":[84],"former":[87],"bound,":[88],"both":[89],"hyperplane,":[97],"dimensional":[107],"subspace.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-14T08:36:36.166977","created_date":"2025-10-10T00:00:00"}
