On (q + t)-arcs of type (0, 2, t) in a desarguesian plane of order q

DOI10.1017/S0305004100069346zbMath0716.51010MaRDI QIDQ3203627

Francesco Mazzocca, Gábor Korchmáros

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

projective plane(k,t)-arc

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20)

Related Items (26)

\(r\)-fat linearized polynomials over finite fields ⋮ Small stopping sets in finite projective planes of order q ⋮ A study of \((x(q + 1), x; 2, q)\)-minihypers ⋮ Finite \(\{0,s,2s\}\)-affine linear spaces ⋮ Small sets of even type and codewords ⋮ On the number of roots of some linearized polynomials ⋮ Classifications and constructions of minimum size linear sets on the projective line ⋮ Cones from maximum \(h\)-scattered linear sets and a stability result for cylinders from hyperovals ⋮ Small sets of even type in finite projective planes of even order ⋮ Two pointsets in \(\mathrm{PG}(2,q^n)\) and the associated codes ⋮ On regular sets of affine type in finite Desarguesian planes and related codes ⋮ Codes of Desarguesian projective planes of even order, projective triads and \((q+t,t)\)-arcs of type \((0, 2, t)\) ⋮ On the stability of sets of even type ⋮ On bisecants of Rédei type blocking sets and applications ⋮ The Action of the Group, q Even, and Related Combinatorial Structures ⋮ On KM-arcs in small Desarguesian planes ⋮ The Kakeya problem: a gap in the spectrum and classification of the smallest examples ⋮ A lower bound for the minimum weight of the dual 7-ary code of a projective plane of order 49 ⋮ Small weight codewords in the LDPC codes arising from linear representations of geometries ⋮ A linear set view on KM-arcs ⋮ An upper bound for the minimum weight of the dual codes of desarguesian planes ⋮ Polar coordinates view on KM-arcs ⋮ A Carlitz type result for linearized polynomials ⋮ Generalizing Korchmáros-Mazzocca arcs ⋮ Small weight codewords in the dual code of points and hyperplanes in PG\((n, q), q\) even ⋮ On KM-arcs in non-Desarguesian projective planes

Cites Work

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• Le geometrie di Galois
• Recent results on (m,n)-type k-sets in an affine plane \(\alpha _ q\)
• Linear codes associated with geometric structures
• A family of ovals with few collineations
• Ovals in Desarguesian planes of even order
• Some new results on sets of type (m,n) in projective planes
• Polynomials with minimal value sets

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