{
  "id": "1906.06220",
  "version": "v1",
  "published": "2019-06-14T14:18:06.000Z",
  "updated": "2019-06-14T14:18:06.000Z",
  "title": "Generalized Hadamard full propelinear codes",
  "authors": [
    "José Andrés Armario",
    "Ivan Bailera",
    "Ronan Egan"
  ],
  "comment": "Submitted to Designs, Codes and Cryptography",
  "categories": [
    "math.CO"
  ],
  "abstract": "Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized Hadamard full propelinear codes turns out. We prove that their existence is equivalent to the existence of central relative $(v,w,v,v/w)$-difference sets. Moreover, some structural properties of these codes are studied and examples are provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-14T14:18:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B20",
      "05E18",
      "94B60"
    ],
    "keywords": [
      "generalized hadamard full propelinear codes",
      "generalized hadamard matrices",
      "hadamard full propelinear codes turns",
      "difference sets",
      "structural properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}