Disjoint maximal arcs in projective planes of order 16

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dc.contributor.authorGezek, Mustafa
dc.date.accessioned2024-10-29T17:58:53Z
dc.date.available2024-10-29T17:58:53Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractThis paper provides the results of some computer searches for disjoint maximal (52, 4) -arcs in the known planes of order 16. Thirty-seven new such sets are discovered: four in Johnson plane and thirty-three in Mathon plane, eighteen of which give examples of 104 -sets of type (4,8) coming from non -isomorphic pairs of maximal (52, 4) -arcs, providing first examples for such sets. A new lower bound on the number of 104 -sets of type (4,8) coming from disjoint maximal (52, 4) -arcs in the known planes of order 16 is obtained. The 104 -length binary and ternary linear codes generated by the blocks of 1 -designs associated with the known 104 -sets of type (4,8) are classified.
dc.identifier.doi10.14744/sigma.2024.00010
dc.identifier.endpage88
dc.identifier.issn1304-7205
dc.identifier.issn1304-7191
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85187274339
dc.identifier.scopusqualityN/A
dc.identifier.startpage82
dc.identifier.urihttps://doi.org/10.14744/sigma.2024.00010
dc.identifier.urihttps://hdl.handle.net/20.500.11776/14540
dc.identifier.volume42
dc.identifier.wosWOS:001171585700011
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherYildiz Technical Univ
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences-Sigma Muhendislik Ve Fen Bilimleri Dergisi
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDisjoint Maximal ARC
dc.subjectLinear Code
dc.subjectProjective Plane
dc.titleDisjoint maximal arcs in projective planes of order 16
dc.typeArticle

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