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 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@FarLab"
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  "construction": "[[4,2,2]] distance amplification of [[40,10,4]] (arXiv:2609.37231, central truncation of the CSS tensor product of codes/40-10-4.json with the [[4,2,2]] code, G_X = G_Z = [1111]; n = 4 n_base + m_X + m_Z, k = 2 k_base, d = 2 d_base by the paper's Eq. 3)",
  "origin": "submission",
  "date": "2026-09-30",
  "model": "Claude Fable 5.1",
  "notes": "Base code: codes/40-10-4.json ([[40,10,4]], 2D-local bilayer layout, by @mathysrennela); this entry is its [[4,2,2]] tensor amplification per arXiv:2609.37231, which is that paper's construction applied to a board code, not a new construction. Dedup gate: no exact or WL-equivalent board entry; checked, not equivalent. Base distance is certified exact (certs/40-10-4.json), so the theorem gives d = 8 exactly; filed as upper_bound.",
  "references": [
   "arXiv:2609.37231",
   "arXiv:1512.07081"
  ]
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 "family": "other"
}