Unitals in the Desarguesian projective plane of order 16

DOI10.1016/j.jspi.2012.10.006zbMath1322.51001OpenAlexW2050220821WikidataQ56987481 ScholiaQ56987481MaRDI QIDQ389424

John Bamberg, Anton Betten, Cheryl E. Praeger, Alfred Wassermann

Publication date: 20 January 2014

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2012.10.006

zbMATH Keywords

projective planeunitalBuekenhout-Metz unitals

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20) Desarguesian and Pappian geometries (51A30)

Related Items (9)

Embedding of classical polar unitals in \(\mathrm{PG}(2,q^{2})\) ⋮ Unitals in projective planes of order 16 ⋮ Unitals in projective planes of order 25 ⋮ Unital designs with blocking sets ⋮ Unitals with many Baer secants through a fixed point ⋮ Preface ⋮ A non-classical unital of order four with many translations ⋮ Embedding of orthogonal Buekenhout-Metz unitals in the Desarguesian plane of order q^2 ⋮ On the geometry of full points of abstract unitals

Uses Software

• Gurobi

Cites Work

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• Finite geometries.
• On Buekenhout-Metz unitals of odd order
• On Buekenhout-Metz unitals of even order
• Existence of unitals in finite translation planes of order \(q^2\) with a kernel of order \(q\)
• On a class of unitals
• Sets of type \((m,n)\) in the affine and projective planes of order nine
• Characterizations of Buekenhout-Metz unitals
• The construction of translation planes from projective spaces
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• There is no Drake/Larson linear space on 30 points

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