{"id":"https://openalex.org/W1599935916","doi":"https://doi.org/10.37236/2425","title":"Non-Classical Hyperplanes of $DW(5,q)$","display_name":"Non-Classical Hyperplanes of $DW(5,q)$","publication_year":2013,"publication_date":"2013-04-24","ids":{"openalex":"https://openalex.org/W1599935916","doi":"https://doi.org/10.37236/2425","mag":"1599935916"},"language":"en","primary_location":{"id":"doi:10.37236/2425","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2425","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p14/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":null,"license_id":null,"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/v20i2p14/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075866833","display_name":"Bart De Bruyn","orcid":"https://orcid.org/0000-0003-4941-7934"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Bart De Bruyn","raw_affiliation_strings":["Ghent University\r\nDepartment of Mathematics\r\nKrijgslaan 281 (S22)\r\nB-9000 Gent (Belgium)","Ghent University#R##N#Department of Mathematics#R##N#Krijgslaan 281 (S22)#R##N#B-9000 Gent (Belgium)"],"affiliations":[{"raw_affiliation_string":"Ghent University\r\nDepartment of Mathematics\r\nKrijgslaan 281 (S22)\r\nB-9000 Gent (Belgium)","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Ghent University#R##N#Department of Mathematics#R##N#Krijgslaan 281 (S22)#R##N#B-9000 Gent (Belgium)","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075866833"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.03858608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9866999983787537,"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/hyperplane","display_name":"Hyperplane","score":0.9792881011962891},{"id":"https://openalex.org/keywords/ovoid","display_name":"Ovoid","score":0.9440652132034302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8149005770683289},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6721293330192566},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6141573786735535},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4613608717918396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.335789293050766},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2168833315372467},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.058817923069000244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0552840530872345}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.9792881011962891},{"id":"https://openalex.org/C112109800","wikidata":"https://www.wikidata.org/wiki/Q7114196","display_name":"Ovoid","level":2,"score":0.9440652132034302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8149005770683289},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6721293330192566},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6141573786735535},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4613608717918396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.335789293050766},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2168833315372467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.058817923069000244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0552840530872345},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/2425","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2425","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p14/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:4241840","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-4241840","pdf_url":"https://biblio.ugent.be/publication/4241840/file/4241864.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1077-8926","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.37236/2425","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2425","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p14/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":null,"license_id":null,"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/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1599935916.pdf","grobid_xml":"https://content.openalex.org/works/W1599935916.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W168332408","https://openalex.org/W1485611827","https://openalex.org/W1523927998","https://openalex.org/W1583183878","https://openalex.org/W1665929684","https://openalex.org/W1965124955","https://openalex.org/W1974319441","https://openalex.org/W1991513770","https://openalex.org/W2001095195","https://openalex.org/W2010936147","https://openalex.org/W2021359987","https://openalex.org/W2022375278","https://openalex.org/W2034334180","https://openalex.org/W2050354656","https://openalex.org/W2057190613","https://openalex.org/W2060879599","https://openalex.org/W2063445159","https://openalex.org/W2070475456","https://openalex.org/W2084275789","https://openalex.org/W2088737283","https://openalex.org/W2094098171","https://openalex.org/W2321262614","https://openalex.org/W2733544347","https://openalex.org/W6664842003"],"related_works":["https://openalex.org/W1599935916","https://openalex.org/W2067732528","https://openalex.org/W1641727897","https://openalex.org/W2963035465","https://openalex.org/W2990229941","https://openalex.org/W2952352293","https://openalex.org/W562603802","https://openalex.org/W2482260433","https://openalex.org/W2117103344","https://openalex.org/W1856863206"],"abstract_inverted_index":{"The":[0],"hyperplanes":[1,15,32],"of":[2,16,33,49,53,56,69,79,83,86],"the":[3,12,23,26,47,77],"symplectic":[4],"dual":[5],"polar":[6],"space":[7],"$DW(5,q)$":[8,70],"arising":[9],"from":[10],"embedding,":[11],"so-called":[13],"classical":[14],"$DW(5,q)$,":[17,89],"have":[18],"been":[19],"determined":[20],"earlier":[21],"in":[22],"literature.":[24],"In":[25],"present":[27],"paper,":[28],"we":[29,40,63],"classify":[30],"non-classical":[31,51,67,81],"$DW(5,q)$.":[34,57,87],"If":[35,58,88],"$q$":[36,59,90,97],"is":[37,46,60,71,98],"even,":[38],"then":[39,62,96],"prove":[41,64],"that":[42,65],"every":[43,66],"such":[44],"hyperplane":[45,75],"extension":[48,78],"a":[50,54,73,80,84,93,100],"ovoid":[52,68,82],"quad":[55,85],"odd,":[61,91],"either":[72],"semi-singular":[74,94],"or":[76],"has":[92],"hyperplane,":[95],"not":[99],"prime":[101],"number.":[102]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
