Arcs and curves over a finite field

DOI10.1006/ffta.1999.0260zbMath0958.51012OpenAlexW2014389771WikidataQ127646328 ScholiaQ127646328MaRDI QIDQ1808849

J. W. P. Hirschfeld, Gábor Korchmáros

Publication date: 30 August 2000

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1999.0260

zbMATH Keywords

rational pointsHermitian curvecomplete arc

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (11)

On the Dickson-Guralnick-Zieve curve ⋮ Complete arcs in \(PG(2,25)\): The spectrum of the sizes and the classification of the smallest complete arcs ⋮ On Small Complete Arcs and Transitive A5-Invariant Arcs in the Projective Plane PG(2,q) ⋮ Separable degree of the Gauss map and strict dual curves over finite fields ⋮ A new family of Castle and Frobenius nonclassical curves ⋮ On \(q\)-analogues and stability theorems ⋮ 42-arcs in \(\mathrm{PG}(2, q)\) left invariant by \(\mathrm{PSL}(2, 7)\) ⋮ Transitive \(A_6\)-invariant \(k\)-arcs in \(\mathrm{PG}(2,q)\) ⋮ The Kakeya problem: a gap in the spectrum and classification of the smallest examples ⋮ Algebraic curves and maximal arcs ⋮ Embedding of orthogonal Buekenhout-Metz unitals in the Desarguesian plane of order q^2

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