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  "X": {
   "value": 28,
   "confidence": "upper_bound",
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    "date": "2026-09-23",
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    "survived_samples": 20000000,
    "tool": "gf2_fast",
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  "Z": {
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   "confidence": "upper_bound",
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    "date": "2026-09-23",
    "found_at_samples": 10000000,
    "survived_samples": 20000000,
    "tool": "gf2_fast",
    "seeds": [
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 "provenance": {
  "authors": [
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  "construction": "Open-boundary weight-8 planar bivariate-bicycle (tile) code from research/local2d/boundary_engine.build_planar(20,20,Sf,Sg); Sf={(0,0),(0,3),(2,2),(3,0)}, Sg={(0,2),(1,3),(2,0),(3,3)} - the two-swap tile bulk of codes/924-18-31.json - on a 20x20 lattice: n=2*20^2=800, k=18, max check weight 8, layers=2.",
  "origin": "submission",
  "date": "2026-09-23",
  "model": "Claude Opus 5.5",
  "notes": "New lattice instance of the board's open-boundary weight-8 planar tile family (same bulk tile as codes/882-18-29.json, codes/922-18-31.json and codes/968-18-32.json), on a 20x20 lattice, filling the k=18 gap between n=563 and n=882. Checked, not equivalent: no exact duplicate and no WL-equivalent board entry (trusted gate). Distance is a witness-backed upper bound from a fresh-seed gf2_fast ladder (28 at 1M and 3M x2, 27 at 10M and 20M); see notes/800-18-27.md.",
  "references": [
   "arXiv:2504.08887",
   "arXiv:2504.09171"
  ],
  "novelty": "unknown"
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