Hyperovals in Knuth's binary semifield planes
Combinatorics
2016-05-23 v1
Abstract
In each of the three projective planes coordinatised by the Knuth's binary semifield of order and two of its Knuth derivatives, we exhibit a new family of infinitely many translation hyperovals. In particular, when , we also present complete lists of all translation hyperovals in them. The properties of some designs associated with these hyperovals are also studied.
Cite
@article{arxiv.1605.06267,
title = {Hyperovals in Knuth's binary semifield planes},
author = {Nicola Durante and Rocco Trombetti and Yue Zhou},
journal= {arXiv preprint arXiv:1605.06267},
year = {2016}
}