{
  "id": "2310.10200",
  "version": "v1",
  "published": "2023-10-16T09:10:54.000Z",
  "updated": "2023-10-16T09:10:54.000Z",
  "title": "Circular External Difference Families: Construction and Non-Existence",
  "authors": [
    "Huawei Wu",
    "Jing Yang",
    "Keqin Feng"
  ],
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "The circular external difference family and its strong version, which themselves are of independent combinatorial interest, were proposed as variants of the difference family to construct new unconditionally secure non-malleable threshold schemes. In this paper, we present new results regarding the construction and non-existence of (strong) circular external difference families, thereby solving several open problems on this topic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-16T09:10:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "circular external difference family",
      "non-existence",
      "construction",
      "independent combinatorial interest",
      "unconditionally secure non-malleable threshold schemes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}