{
  "id": "2309.01228",
  "version": "v1",
  "published": "2023-09-03T17:22:23.000Z",
  "updated": "2023-09-03T17:22:23.000Z",
  "title": "An infinite family of hyperovals of $Q^+(5,q)$, $q$ even",
  "authors": [
    "Bart De Bruyn"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We construct an infinite family of hyperovals on the Klein quadric $Q^+(5,q)$, $q$ even. The construction makes use of ovoids of the symplectic generalized quadrangle $W(q)$ that is associated with an elliptic quadric which arises as solid intersection with $Q^+(5,q)$. We also solve the isomorphism problem: we determine necessary and sufficient conditions for two hyperovals arising from the construction to be isomorphic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-03T17:22:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite family",
      "hyperovals",
      "sufficient conditions",
      "determine necessary",
      "klein quadric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}