On hyperovals in $Q^+(6,4)$
Dmitrii V. Pasechnik
TL;DR
This paper provides geometric descriptions of two types of hyperovals in the finite quadric $Q^+(6,4)$, identified through previous computational searches, enhancing understanding of their structure.
Contribution
It offers explicit geometric characterizations of hyperovals in $Q^+(6,4)$, expanding on prior computational findings.
Findings
Identification of hyperovals with 72 and 96 points
Geometric descriptions of these hyperovals
Enhanced understanding of hyperoval structures in $Q^+(6,4)$
Abstract
According to a computer search conducted by the author and described in [7], in there are two types of hyperovals, having 72 and 96 points, respectively. Here we give geometric descriptions for these examples.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFinite Group Theory Research · Mathematics and Applications · graph theory and CDMA systems