Unitals in Projective Planes of Order 25

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dc.authorwosidGezek, Mustafa/HTP-0402-2023
dc.contributor.authorStoichev, Stoicho D. D.
dc.contributor.authorGezek, Mustafa
dc.date.accessioned2023-05-06T17:20:50Z
dc.date.available2023-05-06T17:20:50Z
dc.date.issued2023
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, results of a non-exhaustive computer search for unitals in the known planes of order twenty-five are reported. The 2-(126, 6, 1) designs associated with newly found unitals are studied in detail. 938 non-isomorphic unital designs are discovered and we show that three of the unital designs are embeddable in two non-isomorphic planes and 239 of them are resolvable. The findings of this study improve some well-known lower bounds on the number of such designs and provide new connections between some pairs of planes. A conjecture concerning the p-ranks of unital designs embedded in planes of order q(2) is formulated.
dc.identifier.doi10.1007/s11786-023-00556-9
dc.identifier.issn1661-8270
dc.identifier.issn1661-8289
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85150179370
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1007/s11786-023-00556-9
dc.identifier.urihttps://hdl.handle.net/20.500.11776/11974
dc.identifier.volume17
dc.identifier.wosWOS:000949029600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorGezek, Mustafa
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofMathematics In Computer Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectUnital
dc.subjectProjective plane
dc.subjectSteiner design
dc.subjectBuekenhout-Metz Unitals
dc.subjectDesigns
dc.titleUnitals in Projective Planes of Order 25
dc.typeArticle

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