Construction of maximal arcs and dual ovals in translation planes

DOI10.1016/S0195-6698(80)80052-7zbMath0449.51011OpenAlexW2018348718MaRDI QIDQ1147364

Joseph A. Thas

Publication date: 1980

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(80)80052-7

zbMATH Keywords

maximal arcsdual ovals

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial structures in finite projective spaces (51E20) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (23)

On Mathon's construction of maximal arcs in Desarguesian planes. II ⋮ A characterisation of Thas maximal arcs in translation planes of square order ⋮ Some maximal arcs in Hall planes ⋮ Some inherited maximal arcs in derived dual translation planes ⋮ Finite \(\{0,s,2s\}\)-affine linear spaces ⋮ Sets of type \((m,n)\) in the affine and projective planes of order nine ⋮ Maximal arcs in Desarguesian planes of odd order do not exist ⋮ Finite Bolyai-Lobachevskii planes ⋮ On sets with few intersection numbers in finite projective and affine spaces ⋮ Linear codes from Denniston maximal arcs ⋮ Maximal arcs and extended cyclic codes ⋮ On regular {v, n}‐arcs in finite projective spaces ⋮ Unitals of PG(2,q²) Containing Conics ⋮ Groups of maximal arcs ⋮ Strongly regular \((\alpha,\beta)\)-geometries ⋮ A remark on symplectic spreads ⋮ Algebraic curves and maximal arcs ⋮ Maximal arcs, codes, and new links between projective planes of order 16 ⋮ Maximal arcs in projective planes of order 16 and related designs ⋮ Existence and non-existence of \(m\)-systems of polar spaces ⋮ New maximal arcs in Desarguesian planes ⋮ On k-sets of class \([0,q/2-1,q/2,q/2+1,q\) in a plane of even order q] ⋮ On partial geometries arising from maximal arcs

Cites Work

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• Some results concerning \(\{(q+1)(n-1);\;n\}\)-arcs and \(\{(q+1)\;(n-1)+1;\;n\}\)-arcs in finite projective planes of order \(q\)
• Partitions and their stabilizers for line complexes and quadrics
• Construction of maximal arcs and partial geometries
• Die Suzukigruppen und ihre Geometrien. Vorlesung Sommersemester 1965 in Mainz
• Ovoidal translation planes
• Sets of Type (1, n, q + 1) in PG(d, q)
• Some maximal arcs in finite projective planes

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