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  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
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 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Open-boundary planar bivariate-bicycle code (arXiv:2504.08887) with f = x + x^2 + y^2 and g = 1 + x^2 y + x^2 y^2 on a 18 x 18 grid (research/local2d/planar.py build_open_directional(18, 18), n = 648, k = 8, d <= 19), reduced to n = 590 by 58 restricted r=1 lattice grafts: a qubit lying in exactly one stabilizer of some type is removed together with that stabilizer, accepted only if k stays 8 and a bit-packed random information set search (verify/gf2_fast.cpp, pair depth 8) screened at 5000 fixed-seed trials and confirmed at 40000 fresh-seed trials finds nothing lighter than 19; then the weight-1 stabilizer cleanup of research/local2d/boundary_engine.py. Layout: a surviving qubit of unreduced index q = c*324 + i*18 + j sits at (i + j, j - i + c), one layer, spacing 1.",
  "origin": "submission",
  "date": "2026-09-22",
  "model": "Claude Fable 5.1",
  "notes": "Derived from the flagship planar family at L = (18,18) by r=1 grafting at distance floor 19; not an independent construction. Claim: d <= 19, a witness-backed upper bound (RIS ladder in the research note). Advances the weight-6 x local-2d-single board; novelty vs the literature unverified. GPU RIS pass (verify/ris_gpu.py, 300,000,000 trials per side, seed 2026): lightest logical X 19, Z 19.",
  "search_budget": {
   "candidates_screened": 139,
   "ris_trials_per_side": 300000000,
   "wall_clock_hours": 1.0,
   "tool": "research/kit search funnel, gf2_fast RIS, verify/ris_gpu (A40)"
  }
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 "family": "bivariate-bicycle",
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