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 "distance": {
  "d": 7,
  "P": {
   "value": 7,
   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "origin": "submission",
  "construction": "search",
  "date": "2026-10-15",
  "references": [
   "arXiv:2609.30069"
  ],
  "notes": "Halved CPM pair-partition code of arXiv:2609.30069 (Definition 1, reversing fold of Proposition 4) at (J,L)=(3,10), lift P=30. Exponent array E (rows a=0..2, columns l=0..9): [[26, 27, 18, 13, 5, 19, 16, 0, 18, 7], [9, 1, 7, 5, 1, 22, 4, 20, 16, 16], [13, 10, 26, 22, 27, 0, 9, 0, 28, 18]]. Off-diagonal pair partitions M: {\"0,1\": [[0, 4], [1, 6], [2, 9], [3, 5], [7, 8]], \"0,2\": [[0, 8], [1, 2], [3, 7], [4, 9], [5, 6]], \"1,2\": [[0, 5], [1, 9], [2, 7], [3, 4], [6, 8]]}. The paper publishes no generators for its halved instances; this code is from a random search over the template. Distance 7 is the lightest Pauli logical found through 482 random per-qubit symplectic frames x 1,000,000 gf2_fast trials on the symplectic doubling (upper bound). The paper's Table VII lists [[150,62,8]] at this lift under the plain fold, as an exact value; this entry uses the reversing fold, for which the table has no row at this lift.",
  "model": "Claude Fable 5.1",
  "search_budget": {
   "candidates_screened": 17515,
   "ris_trials_per_side": 482000000,
   "tool": "halved_pp.py templates; verify/heuristic_distance.py Pauli RIS; gf2_fast on the symplectic doubling under random per-qubit symplectic frames (frame_screen.py)",
   "notes": "Pauli-weight RIS screen at 2000 trials per template (Perlmutter job 59705503, 2026-10-12), then 132 frames x 1,000,000 gf2_fast trials (jobs 59731365 to 59731368) and 350 further frames x 1,000,000 trials with fresh seeds (job 59779389, 2026-10-14). Lightest Pauli logical found: 7."
  }
 }
}