{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-5NMXAQQU/3dbdc2e9-6a72-4110-a43d-f08b5a76119b/PDF","dcterms:extent":"307 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-5NMXAQQU/0a858fbc-4595-4408-ac79-bf63285d7cbc/TEXT","dcterms:extent":"19 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-5NMXAQQU/c917f18f-3a4a-47b5-b2e3-f4cb2fb63ae6/PDF","dcterms:extent":"134 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-5NMXAQQU/040c3356-24c3-4900-adfa-3cdb35857872/TEXT","dcterms:extent":"2 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-5NMXAQQU","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2023","dc:creator":"Caggegi, Andrea","dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:23"},{"@xml:lang":"sl","#text":"P2.07 (7 str.)"}],"dc:identifier":["DOI:10.26493/1855-3974.2707.29c","COBISSID_HOST:151636227","ISSN:1855-3966","URN:URN:NBN:SI:doc-5NMXAQQU"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"additive designs"},{"@xml:lang":"sl","#text":"aditivni dizajni"},{"@xml:lang":"en","#text":"block designs"},{"@xml:lang":"sl","#text":"blok dizajni"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"A new family of additive designs|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper we construct a family of ?$2$?-?$(q^n,sp^2,\\lambda)$? additive designs ?$\\mathcal{D}=(\\mathcal{P},\\mathcal{B})$?, where ?$q$? is a power of a prime ?$p$? and ?$\\mathcal{P}$? is an ?$n$?-dimensional vector space over ?$\\mathrm{GF}(q)$?, and we compute their parameters explicitly. These designs, except for some special cases, had not been considered in the previous literature on additive block designs"},{"@xml:lang":"sl","#text":"V članku konstruiramo družino ?$2$?-?$(q^n,sp^2,\\lambda)$? aditivnih dizajnov ?$\\mathcal{D}=(\\mathcal{P},\\mathcal{B})$?, kjer je ?$q$? potenca praštevila ?$p$? in ?$\\mathcal{P}$? ?$n$?-dimenzionalen vektorski prostor nad ?$\\mathrm{GF}(q)$?, in natančno izračunamo njihove parametre. Ti dizajni, razen v nekaj posebnih primerih, niso bili obravnavani v dosedanji literaturi o aditivnih blok dizajnih"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-5NMXAQQU","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-5NMXAQQU"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-5NMXAQQU/3dbdc2e9-6a72-4110-a43d-f08b5a76119b/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-5NMXAQQU/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-5NMXAQQU"}}}}