{
  "id": "1406.6526",
  "version": "v2",
  "published": "2014-06-25T11:25:33.000Z",
  "updated": "2015-02-10T04:01:10.000Z",
  "title": "Cameron-Liebler line classes with parameter $x=\\frac{q^2-1}{2}$",
  "authors": [
    "Tao Feng",
    "Koji Momihara",
    "Qing Xiang"
  ],
  "comment": "22 pages, reviced version",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we give an algebraic construction of a new infinite family of Cameron-Liebler line classes with parameter $x=\\frac{q^2-1}{2}$ for $q\\equiv 5$ or $9\\pmod{12}$, which generalizes the examples found by Rodgers in \\cite{rodgers} through a computer search. Furthermore, in the case where $q$ is an even power of $3$, we construct the first infinite family of affine two-intersection sets in $\\mathrm{AG}(2,q)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-25T11:25:33.000Z",
      "comment": "22 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-02-10T04:01:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B25",
      "11T24",
      "05E30"
    ],
    "keywords": [
      "cameron-liebler line classes",
      "affine two-intersection sets",
      "algebraic construction",
      "computer search",
      "first infinite family"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.6526F"
    }
  }
}