Name
Abstract | ||
|---|---|---|
In this paper, we study translation hyperovals in PG(2, q(k)). The main result of this paper characterises the point sets defined by translation hyperovals in the Andre/Bruck-Bose representation. We show that the affine point sets of translation hyperovals in PG(2, q(k)) are precisely those that have a scattered F-2 -linear set of pseudoregulus type in PG(2k -1, q) as set of directions. This correspondence is used to generalise the results of Barwick and Jackson who provided a characterisation for translation hyperovals in PG(2, q(2)). |
Year | DOI | Venue |
|---|---|---|
2020 | 10.37236/8818 | ELECTRONIC JOURNAL OF COMBINATORICS |
DocType | Volume | Issue |
Journal | 27 | 3 |
ISSN | Citations | PageRank |
1077-8926 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jozefien D'haeseleer | 1 | 1 | 1.79 |
| van de voorde | 2 | 35 | 7.85 |