The nonexistence of ovals in a projective plane of order 10

DOI10.1016/0012-365X(83)90049-3zbMath0511.05020OpenAlexW2062228483WikidataQ56688835 ScholiaQ56688835MaRDI QIDQ5917314

S. Swiercz, John McKay, Clement Wing Hong Lam, Larry Thiel

Publication date: 1983

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(83)90049-3

zbMATH Keywords

fixed point free involutionsovalconfiguration in a plane

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items

Classification Results for Hyperovals of Generalized Quadrangles, Rings of geometries. II, No extendable biplane of order nine, Regular 2-graphs and extensions of partial geometries, Quasi-symmetric designs and biplanes of characteristic three, A nonexistence certificate for projective planes of order ten with weight 15 codewords, The nonexistence of code words of weight 16 in a projective plane of order 10

Cites Work

• Weight enumerators of self-orthogonal codes
• On the existence of a projective plane of order 10
• Configurations in a Plane of Order Ten
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