{
  "id": "1008.1927",
  "version": "v1",
  "published": "2010-08-11T14:56:28.000Z",
  "updated": "2010-08-11T14:56:28.000Z",
  "title": "A new class of codes over Z_2 x Z_2",
  "authors": [
    "Julia Galstad",
    "Gerald Hoehn"
  ],
  "comment": "LaTeX, 29 pages, 7 tables",
  "categories": [
    "math.CO",
    "math.QA"
  ],
  "abstract": "We study a new class of codes over Z_2 x Z_2 which we call L-codes. They arise as a natural fifth step in a series of analogies between Kleinian codes, binary codes, lattices and vertex operator algebras. This analogy will be explained in detail. We classify self-dual L-codes up to length 10 and provide tables for these codes and their weight enumerators up to length 4. We also discuss extremal codes for which a nearly complete classification is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-11T14:56:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vertex operator algebras",
      "natural fifth step",
      "kleinian codes",
      "binary codes",
      "classify self-dual l-codes"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.1927G"
    }
  }
}