论文信息 - A characterization of Denniston's maximal arcs

A characterization of Denniston's maximal arcs

Our main result is the following characterization of Denniston's maximal arcs: If a maximal arcK in PG(2,q),q even, is invariant under a linear collineation group of PG(2,q) which is cyclic and has orderq+1, thenK is a Denniston's maximal arc.

Vito Abatangelo | Bambina Larato | V. Abatangelo | B. Larato

[1] Lynn Batten. Combinatorics of Finite Geometries , 1986 .

[2] R. Denniston. Some maximal arcs in finite projective planes , 1969 .

[3] J. Thas. Construction of maximal arcs and partial geometries , 1974 .

[4] J. Hirschfeld. Projective Geometries Over Finite Fields , 1980 .

[5] Joseph A. Thas. Some Results Concerning {(q + 1)(n - 1); n}-Arcs and {(q + 1)(n - 1) + 1; n}-Arcs in Fintie Projective Planes of Order q , 1975, J. Comb. Theory, Ser. A.