{
  "id": "0904.4094",
  "version": "v1",
  "published": "2009-04-27T06:47:15.000Z",
  "updated": "2009-04-27T06:47:15.000Z",
  "title": "On the Upper Bounds of MDS Codes",
  "authors": [
    "Jiansheng Yang",
    "Yunying Zhang"
  ],
  "comment": "8 Pages",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "Let $M_{q}(k)$ be the maximum length of MDS codes with parameters $q,k$. In this paper, the properties of $M_{q}(k)$ are studied, and some new upper bounds of $M_{q}(k)$ are obtained. Especially we obtain that $M_{q}(q-1)\\leq q+2(q\\equiv4(mod 6)), M_{q}(q-2)\\leq q+1(q\\equiv4(mod 6)), M_{q}(k)\\leq q+k-3 (q=36(5s+1), s\\in N$ and $ k=6,7).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-27T06:47:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E20",
      "94B05",
      "94B65"
    ],
    "keywords": [
      "mds codes",
      "upper bounds",
      "maximum length"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.4094Y"
    }
  }
}