{
  "annotation_id": "ae235ecc-5f0f-49c0-927f-651954399184",
  "date_created": "2026-03-02T18:02:27.456000Z",
  "date_modified": "2026-03-02T18:02:27.456000Z",
  "file_hash": "6a04b78861c7488b730d5f28b13dfdb863e8641b8ae2debb5d58bcb65046b7b7",
  "private": false,
  "record": {
    "abstract": "Classical BCH codes that contain their (Euclidean or Hermitian) dual codes\ncan be used to construct quantum stabilizer codes; this correspondence studies\nthe properties of such codes. It is shown that a BCH code of length n can\ncontain its dual code only if its designed distance d=O(sqrt(n)), and the\nconverse is proved in the case of narrow-sense codes. Furthermore, the\ndimension of narrow-sense BCH codes with small design distance is completely\ndetermined, and - consequently - the bounds on their minimum distance are\nimproved. These results make it possible to determine the parameters of quantum\nBCH codes in terms of their design parameters.",
    "arxiv_id": "quant-ph/0604102",
    "authors": [
      "Salah A. Aly",
      "Andreas Klappenecker",
      "Pradeep Kiran Sarvepalli"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On Quantum and Classical BCH Codes",
    "url": "https://arxiv.org/abs/quant-ph/0604102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "16c162e4-fcf1-45e9-82ab-7a3cb66fe81a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}