The small Kakeya sets in T2 ∗ (C), C a conic
Abstract
A Kakeya set in the linear representation T2∗(C), C a nonsingular conic, is the point set covered by a set of q+1 lines, one through each point of C. In this article, we classify the small Kakeya sets in T2∗(C). The smallest Kakeya sets have size 3q2+2q4, and all Kakeya sets with weight less than 3(q2-1)4+q are classified: there are approximately q2 types.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
De Boeck, M. (2016). The small Kakeya sets in T2 ∗ (C), C a conic. Journal of Combinatorial Designs, 24 (6), 265-278. https://doi.org/10.1002/jcd.21507
COinS
