{"?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-OYOXST37/3eb28a5b-ded2-4a52-a76e-08b488ca6fe2/PDF","dcterms:extent":"414 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-OYOXST37/1299da20-d4c7-4760-8889-d3bafe458e37/TEXT","dcterms:extent":"39 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-OYOXST37","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2020","dc:creator":["Bartoli, Daniele","Zanella, Corrado","Zullo, Ferdinando"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:19"},{"@xml:lang":"sl","#text":"str. 125-145"}],"dc:identifier":["ISSN:1855-3974","COBISSID_HOST:43524099","URN:URN:NBN:SI:doc-OYOXST37"],"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":"linearized polynomial"},{"@xml:lang":"sl","#text":"linearizirani polinom"},{"@xml:lang":"en","#text":"MRD-code"},{"@xml:lang":"sl","#text":"MRD-koda"},{"@xml:lang":"sl","#text":"razpršena linearna množica"},{"@xml:lang":"en","#text":"scattered linear set"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"A new family of maximum scattered linear sets in PG(1, qsup6)|"},"dc:description":[{"@xml:lang":"sl","#text":"We generalize the example of linear set presented by the last two authors in \"Vertex properties of maximum scattered linear sets of ?$\\mathrm{PG}(1,q^n)$?\" (2019) to a more general family, proving that such linear sets are maximum scattered when ?$q$? is odd and, apart from a special case, they are are new. This solves an open problem posed in \"Vertex properties of maximum scattered linear sets of ?$\\mathrm{PG}(1,q^n)$?\" (2019). As a consequence of Sheekey's results in \"A new family of linear maximum rank distance codes\" (2016), this family yields to new MRD-codes with parameters ?$(6,6,q;5)$?"},{"@xml:lang":"sl","#text":"Posplošimo primer linearne množice iz članka zadnjih dveh avtorjev \"Vertex properties of maximum scattered linear sets of ?$\\mathrm{PG}(1,q^n)$?\" (2019) na splošnejšo družino, pri čemer dokažemo, da so takšne linearne množice maksimalno razpršene, kadar je ?$q$? lih, in da so, razen v enem posebnem primeru, nove. S tem rešimo odprt problem iz članka \"Vertex properties of maximum scattered linear sets of ?$\\mathrm{PG}(1,q^n)$?\" (2019). Upoštevaje Sheekeyeve rezultate iz članka \"A new family of linear maximum rank distance codes\" (2016), ta družina vodi k novim MRD-kodam s parametri ?$(6,6,q;5)$?"}],"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-OYOXST37","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-OYOXST37"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-OYOXST37/3eb28a5b-ded2-4a52-a76e-08b488ca6fe2/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-OYOXST37/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-OYOXST37"}}}}