On planar arcs of size (q+3)∕2

DOI10.1002/jcd.21793arXiv2105.10994OpenAlexW3170004991MaRDI QIDQ6145738

Gülizar Günay, Michel Lavrauw

Publication date: 2 February 2024

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10994

zbMATH Keywords

arcfinite geometryprojective planeabsolutely irreducible curve

Mathematics Subject Classification ID

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

Cites Work

• New examples of complete k-arcs in PG(2,q)
• Small complete arcs in Galois planes
• Note on the order of magnitude of k for complete k-arcs in PG(2,q)
• Archi completi di ordine (q+3)/2 nei piani di Galois, S(2,9) con q=3 (mod. 4)
• Complete arcs containing \((q+1)/2\) points of a conic in Galois fields of odd order
• Complete arcs arising from conics
• Arcs in finite projective spaces
• Ovali ed altre curve nei piani di Galois di caratteristica due
• Numbers of solutions of equations in finite fields
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