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A Family of Caps in Projective 4-Space in Odd Characteristic

✍ Scribed by Jürgen Bierbrauer; Yves Edel

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
124 KB
Volume
6
Category
Article
ISSN
1071-5797

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✦ Synopsis

We construct caps in projective 4-space PG(4, q) in odd characteristic, whose cardinality is O( q).

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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 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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