Constructions are described of maximal arcs in Desarguesian projective planes utilizing sets of conics on a common nucleus in PG(2, q). Several new infinite families of maximal arcs in PG(2, q) are presented and a complete enumeration is carried out for Desarguesian planes of order 16, 32, and 64. F
โฆ LIBER โฆ
Some Maximal Arcs in Derived Dual Hall Planes
โ Scribed by Nicholas Hamilton
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 319 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0195-6698
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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