{
  "id": "1910.13133",
  "version": "v1",
  "published": "2019-10-29T08:46:33.000Z",
  "updated": "2019-10-29T08:46:33.000Z",
  "title": "Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of $M_{11}$",
  "authors": [
    "Vedrana Mikulić Crnković",
    "Ivona Novak"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we generalize the construction of binary self-orthogonal codes obtained from weakly self-orthogonal designs described by Tonchev in [12] in order to obtain self-orthogonal codes over an arbitrary field. We extend construction self-orthogonal codes from orbit matrices of self-orthogonal designs and weakly self-orthogonal 1-designs such that block size is odd and block intersection numbers are even described in [5]. Also, we generalize mentioned construction in order to obtain self-orthogonal codes over an arbitrary field. We construct weakly self-orthogonal designs invariant under an action of Mathieu group $M_{11}$ and, from them, binary self-orthogonal codes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-29T08:46:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E18",
      "05E18"
    ],
    "keywords": [
      "binary self-orthogonal codes",
      "construct weakly self-orthogonal designs invariant",
      "arbitrary field",
      "extend construction self-orthogonal codes",
      "block intersection numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}