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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)=(3,8), lift P=37. Exponent array E (rows a=0..2, columns l=0..7): [[35, 29, 21, 1, 17, 21, 16, 31], [4, 14, 35, 35, 35, 19, 2, 33], [10, 30, 1, 32, 17, 36, 34, 22]]. Off-diagonal pair partitions M: {\"0,1\": [[0, 6], [1, 7], [2, 5], [3, 4]], \"0,2\": [[0, 7], [1, 3], [2, 4], [5, 6]], \"1,2\": [[0, 4], [1, 6], [2, 7], [3, 5]]}. The paper publishes no generators for its halved instances; this code is from a random search over the template. Distance 10 is the lightest Pauli logical found through 606 random per-qubit symplectic frames x 1,000,000 gf2_fast trials on the symplectic doubling (upper bound). The paper's Table VII lists [[148,39,12]] 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": 52324,
   "ris_trials_per_side": 606000000,
   "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 59705502, 2026-10-12), then 156 frames x 1,000,000 gf2_fast trials (jobs 59731365 to 59731368) and 450 further frames x 1,000,000 trials with fresh seeds (job 59779389, 2026-10-14). Lightest Pauli logical found: 10."
  }
 }
}
