{
  "id": "1603.00006",
  "version": "v1",
  "published": "2016-02-28T17:24:01.000Z",
  "updated": "2016-02-28T17:24:01.000Z",
  "title": "Partitioning Hadamard vectors into Hadamard matrices",
  "authors": [
    "Peter G. Casazza",
    "Janet C. Tremain"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We will show that in a space of dimension $m$, any family of $2^{m-1}$ distinct Hadamard vectors (where you can choose x or -x but not both) can be partitioned into Hadamard matrices if and only if $m=2^n$ for some n. We will solve this problem with a simple algorithm for assigning the vectors to the Hadamard matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-28T17:24:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hadamard matrices",
      "partitioning hadamard vectors",
      "distinct hadamard vectors",
      "simple algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160300006C"
    }
  }
}