A new proof of the existence of \((q^ 2-q+1)\)-arcs in \(PG(2,q^ 2)\)

DOI10.1007/BF01224038zbMath0839.51009MaRDI QIDQ1895160

Antonio Cossidente

Publication date: 26 June 2000

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

zbMATH Keywords

\((q^ 2 - q + 1)\)-arcs

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21)

Related Items (9)

Complete arcs in \(PG(2,25)\): The spectrum of the sizes and the classification of the smallest complete arcs ⋮ Projective planes and dihedral groups ⋮ The geometric description of a cyclic \((q- \sqrt{q}+1)\)-arc in \(\text{PG} (q-\sqrt{q}-3,q)\), \(q\) square ⋮ 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 ⋮ Complete unital-derived arcs in the Hall planes ⋮ Arcs and curves over a finite field ⋮ On curves covered by the Hermitian curve. ⋮ Transitive ovoids of the Hermitian surface of PG\((3,q ^{2}\)), \(q\) even

Cites Work

• On the sharpness of a theorem of B. Segre
• Unital intersections in finite projective planes
• A family of complete arcs in finite projective planes
• Unnamed Item

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