𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Degree 8 Maximal Arcs in PG(2,2h), h Odd

✍ Scribed by Nicholas Hamilton

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
136 KB
Volume
100
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

✦ Synopsis

In a recent paper R. Mathon gave a new construction method for maximal arcs in finite Desarguesian projective planes that generalised a construction of Denniston. He also gave several instances of the method to construct new maximal arcs. In this paper, the structure of the maximal arcs is examined to give geometric and algebraic methods for proving when the maximal arcs are not of Denniston type. New degree 8 maximal arcs are also constructed in PGð2; 2 h Þ; h55; h odd. This, combined with previous results, shows that every Desarguesian projective plane of (even) order greater that 8 contains a degree 8 maximal arc that is not of Denniston type. # 2002 Elsevier Science (USA)

πŸ“œ SIMILAR VOLUMES

On the Non-existence of Thas Maximal Arc
On the Non-existence of Thas Maximal Arcs in Odd Order Projective Planes
✍ A. Blokhuis; N. Hamilton; H. Wilbrink πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 91 KB

In this paper it is shown that given a non-degenerate elliptic quadric in the projective space PG(2n -1, q), q odd, then there does not exist a spread of PG(2n -1, q) such that each element of the spread meets the quadric in a maximal totally singular subspace. An immediate consequence is that the c