{
  "id": "dg13-general",
  "categoryId": "ssip-classical-heuristic",
  "paperId": "dg13",
  "date": "2013-10-29",
  "datePrecision": "day",
  "time": {
    "coefficient": 0.5,
    "expression": "O~(p^{1/2})"
  },
  "space": {
    "coefficient": null,
    "expression": "Not stated in the checked source"
  },
  "tags": [],
  "review": {
    "status": "source-checked"
  },
  "certificate": {
    "status": "not-provided",
    "lean": null
  },
  "notes": "The F_p-subfield strategy gives a low-storage general isogeny-search method. The source uses random-walk heuristics; its F_p connectivity argument uses GRH. The p^{1/4} subroutine does not make the general algorithm p^{1/4}.",
  "extra": {
    "output": "A composition of isogenies; not necessarily a fixed-degree short path"
  },
  "evidence": {
    "url": "https://arxiv.org/pdf/1310.7789",
    "locator": "Section 4: The General Isogeny Problem",
    "sourceVersion": "Checked 2026-11-08; see linked source version/date"
  }
}