{"id":"https://openalex.org/W2291531694","doi":"https://doi.org/10.1007/s10623-013-9866-8","title":"On embeddings of minimum dimension of $${\\mathrm{PG}}(n,q)\\times {\\mathrm{PG}}(n,q)$$ PG ( n , q ) \u00d7 PG ( n , q )","display_name":"On embeddings of minimum dimension of $${\\mathrm{PG}}(n,q)\\times {\\mathrm{PG}}(n,q)$$ PG ( n , q ) \u00d7 PG ( n , q )","publication_year":2013,"publication_date":"2013-08-03","ids":{"openalex":"https://openalex.org/W2291531694","doi":"https://doi.org/10.1007/s10623-013-9866-8","mag":"2291531694"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-013-9866-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-013-9866-8","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-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/A5013614037","display_name":"Michel Lavrauw","orcid":"https://orcid.org/0000-0003-0973-5807"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Michel Lavrauw","raw_affiliation_strings":["Dipartimento di Tecnica e Gestione dei Sistemi Industriali, Universit\u00e0 degli Studi di Padova, Stradella S. Nicola 3, 36100 , Vicenza, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Tecnica e Gestione dei Sistemi Industriali, Universit\u00e0 degli Studi di Padova, Stradella S. Nicola 3, 36100 , Vicenza, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038859418","display_name":"John Sheekey","orcid":"https://orcid.org/0000-0002-8590-0301"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"John Sheekey","raw_affiliation_strings":["Dipartimento di Tecnica e Gestione dei Sistemi Industriali, Universit\u00e0 degli Studi di Padova, Stradella S. Nicola 3, 36100 , Vicenza, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Tecnica e Gestione dei Sistemi Industriali, Universit\u00e0 degli Studi di Padova, Stradella S. Nicola 3, 36100 , Vicenza, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002556964","display_name":"Corrado Zanella","orcid":"https://orcid.org/0000-0002-5031-1961"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Corrado Zanella","raw_affiliation_strings":["Dipartimento di Tecnica e Gestione dei Sistemi Industriali, Universit\u00e0 degli Studi di Padova, Stradella S. Nicola 3, 36100 , Vicenza, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Tecnica e Gestione dei Sistemi Industriali, Universit\u00e0 degli Studi di Padova, Stradella S. Nicola 3, 36100 , Vicenza, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013614037"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":7.5704,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.98247536,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"74","issue":"2","first_page":"427","last_page":"440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9994000196456909,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypersurface","display_name":"Hypersurface","score":0.8379647135734558},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7795916795730591},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.7052589654922485},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6890173554420471},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.6658986806869507},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.6240695714950562},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6090294718742371},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5668902397155762},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5380129218101501},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.49617108702659607},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.44568338990211487},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.43834561109542847},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.41402193903923035},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3307947516441345},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27135390043258667},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24274376034736633},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20743051171302795},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05550813674926758}],"concepts":[{"id":"https://openalex.org/C114410712","wikidata":"https://www.wikidata.org/wiki/Q973321","display_name":"Hypersurface","level":2,"score":0.8379647135734558},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7795916795730591},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7052589654922485},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6890173554420471},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.6658986806869507},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.6240695714950562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6090294718742371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5668902397155762},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5380129218101501},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.49617108702659607},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.44568338990211487},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.43834561109542847},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.41402193903923035},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3307947516441345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27135390043258667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24274376034736633},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20743051171302795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05550813674926758},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-013-9866-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-013-9866-8","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/2824295","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2824295","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1538336988","https://openalex.org/W1714061562","https://openalex.org/W1964535267","https://openalex.org/W1972056733","https://openalex.org/W1974012635","https://openalex.org/W2005636311","https://openalex.org/W2007789048","https://openalex.org/W2023831687","https://openalex.org/W2036380862","https://openalex.org/W2053097499","https://openalex.org/W2157738375","https://openalex.org/W2158532949","https://openalex.org/W2167413131","https://openalex.org/W2328455461","https://openalex.org/W2490728539","https://openalex.org/W2804466505","https://openalex.org/W2950314536","https://openalex.org/W2951358753"],"related_works":["https://openalex.org/W2379789905","https://openalex.org/W2610981215","https://openalex.org/W3048222808","https://openalex.org/W2341053671","https://openalex.org/W3103771854","https://openalex.org/W4381436145","https://openalex.org/W2896134808","https://openalex.org/W4293858057","https://openalex.org/W3172436493","https://openalex.org/W4287164812"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
