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On the Non-existence of Thas Maximal Arcs in Odd Order Projective Planes

✍ Scribed by A. Blokhuis; N. Hamilton; H. Wilbrink

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
91 KB
Volume
19
Category
Article
ISSN
0195-6698

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✦ Synopsis

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 construction of [9] does not give maximal arcs in projective planes for q odd. It is also shown that the all one vector is not contained in the binary code spanned by the tangents to an elliptic quadric in PG(3, q), q odd.

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