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 "distance": {
  "d": 27,
  "X": {
   "value": 28,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
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    "date": "2026-10-09",
    "found_at_samples": 300000000,
    "tool": "Clifford witness transform",
    "seeds": [
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    "survived_samples": 16240320
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  "Z": {
   "value": 27,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
     "@dorakingx"
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    "date": "2026-10-04",
    "found_at_samples": 5000000,
    "survived_samples": 16240320,
    "tool": "Clifford witness transform",
    "seeds": [
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 "provenance": {
  "authors": [
   "@DennisWayo"
  ],
  "construction": "One-qubit Clifford reduction of the board entry codes/794-18-27.json. The source tile construction and its prior six-qubit reduction are credited to @dorakingx; its underlying [[800,18,27]] source is credited to @e-eight. The inherited X witness is credited to @vprusso and the inherited Z witness to @dorakingx. Use source X row 0 as S={1,4,42,60,400,420,436,459} and choose a=1. Clear a from the only other incident X generator by R_287 <- R_287 + S. Apply CNOT fan-out from control 1 to targets {4,42,60,400,420,436,459}; this maps S to X_1 and maps column 1 of H_Z to zero by CSS commutation. Delete X_1 and qubit 1, then renumber every surviving source qubit q>1 as q-1. This is a Clifford equivalence followed by removal of a disentangled qubit, so k remains 18. Surviving qubits keep their source coordinates; maximum check weight remains 8, interaction radius remains 6.708203932499369, and the layout remains bilayer.",
  "references": [
   "arXiv:2504.08887"
  ],
  "date": "2026-10-11",
  "notes": "Derivative contribution, not an independent tile construction. The source [[794,18,d<=27]] code and layout are credited to @dorakingx, the underlying [[800,18,27]] source to @e-eight, the transformed weight-28 X witness to @vprusso, and the transformed weight-27 Z witness to @dorakingx. The current official verifier recomputes k=18, maximum check weight 8, bilayer locality, and interaction radius 6.708203932499369. Two independent CI-style fire passes used seeds 2026101101 and 2027101104. Each pass ran the structural detector, the 50000-trial orbit-fold gate, 120160 ordinary RIS trials, and 8000000 RIS-fast trials. Neither pass found a logical below weight 27; RIS-fast reached weight 27 in both passes. Total post-reduction RIS search: 16240320 trials. Distance remains a witness-backed upper bound, not an exact-distance claim.\n\nDerived by a one-qubit Clifford reduction on X-type row-space stabilizer support [0, 399], removing source qubit 0. The row-space element used source rows [285]. Distance remains a witness-backed upper bound.",
  "model": "GPT-5 (Codex)",
  "origin": "submission",
  "novelty": "new_parameters",
  "search_budget": {
   "cpu_hours": 1.3,
   "ris_trials_per_side": 16240320,
   "tool": "current CI-style orbit-fold and gf2_fast RIS",
   "candidates_screened": 10
  }
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