Arcs in projective planes over prime fields

DOI10.1007/BF01222904zbMath0707.51010OpenAlexW2061847884MaRDI QIDQ919609

José Felipe Voloch

Publication date: 1990

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222904

zbMATH Keywords

projective planecomplete arc

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Blocking sets, ovals, (k)-arcs (51E21)

Related Items (19)

Blocking sets of almost Rédei type ⋮ On the completeness of certain plane arcs ⋮ Caps in finite projective spaces of odd order ⋮ Complete arcs ⋮ Planar arcs ⋮ On \(q\)-analogues and stability theorems ⋮ The main conjecture for MDS codes ⋮ Extending pseudo-arcs in odd characteristic ⋮ Complete \(k\)-arcs in PG(\(n,q\)), \(q\) even ⋮ Completeness of normal rational curves ⋮ M.D.S. codes and arcs in \(\mathrm{PG}(n,q)\) with \(q\) even: an improvement of the bounds of Bruen, Thas, and Blokhuis ⋮ Caps in \(\mathrm{PG}(n,q)\), \(q\) even, \(n\ge 3\) ⋮ Infinite family of large complete arcs in PG\((2, q ^{n })\), with \(q\) odd and \(n > 1\) odd ⋮ Existence of canonically inherited arcs in Moulton planes of odd order ⋮ Partial flocks of the quadratic cone. ⋮ Arcs and tensors ⋮ Arcs and curves over a finite field ⋮ Lower and upper bounds for some generalized arcs ⋮ The packing problem in statistics, coding theory and finite projective spaces

Cites Work

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• Weierstrass Points and Curves Over Finite Fields
• Caps in Elliptic Quadrics

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