{
  "id": "1811.05936",
  "version": "v1",
  "published": "2018-11-14T18:07:13.000Z",
  "updated": "2018-11-14T18:07:13.000Z",
  "title": "Regular subgroups with large intersection",
  "authors": [
    "Riccardo Aragona",
    "Roberto Civino",
    "Norberto Gavioli",
    "Carlo Maria Scoppola"
  ],
  "categories": [
    "math.GR",
    "cs.CR"
  ],
  "abstract": "In this paper we study the relationships between the elementary abelian regular subgroups and the Sylow $2$-subgroups of their normalisers in the symmetric group $\\mathrm{Sym}(\\mathbb{F}_2^n)$, in view of the interest that they have recently raised for their applications in symmetric cryptography.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-14T18:07:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B35",
      "20D20",
      "94A60"
    ],
    "keywords": [
      "large intersection",
      "elementary abelian regular subgroups",
      "symmetric group",
      "symmetric cryptography",
      "normalisers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}