Caps in PG(n,q),q even,n⩾3 |
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| Authors: | L. Storme T. Szönyi |
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| Affiliation: | 1. Seminar of Geometry and Combinatorics, University of Gent, Krijgslaan 281, B-9000, Gent, Belgium
2. Department of Computer Science, E?tv?s University, Múzeum krt. 6-8, H-1088, Budapest, Hungary
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| Abstract: | Letm′2(3,q) be the largest value ofk(k<q 2+1) for which there exists a completek-cap in PG(3,q),q even. In this paper, the known upper bound onm′2(3,q) is improved. We also describe a number of intervals, fork, for which there does not exist a completek-cap in PG(3,q),q even. These results are then used to improve the known upper bounds on the number of points of a cap in PG(n, q),q even,n?4. |
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