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 "name": "[[126,6,5]]",
 "code_type": "CSS",
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 "k": 6,
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  "X": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
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   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@Xo1otl"
  ],
  "construction": "contributed via qldpc submit",
  "origin": "submission",
  "date": "2026-08-20",
  "model": "Claude Opus 5",
  "notes": "Same multi-band construction as the board's [[202,10,5]], [[278,14,5]] and the open [[676,36,5]], at the minimum size: k = 4*2-2 = 6. Not equivalent to any board entry: n and k both differ. Pareto scope stated honestly: frontier in the 8 layout-restricted cells; in the 4 unrestricted cells [[112,8,5]] (weight 4, no layout) dominates it. Distance is a witness-backed upper bound from 20000 RIS trials per side, not a certified exact distance."
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 "circuit": {
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    "confidence": "upper_bound",
    "witness": [
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    "confidence": "upper_bound",
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  "rounds": 5,
  "stim_version": "1.16.0",
  "notes": "Generic sequential two-block extraction: one ancilla per check, X checks then Z checks each round with joint reset/measure layers; CX layers are a proper edge coloring of each Tanner graph (4 X + 4 Z CX layers per round, schedule seed 0; hook-aware orders: every CNOT order suffix needs >= d-1 further data errors to complete a logical, layered by min-conflicts search). Screened by RIS on ker(H_dem) and an observable-constrained seeded BP+OSD search; witnesses validated in GF(2).",
  "contributed_by": {
   "by": [
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   "date": "2026-09-17",
   "method": "generic CSS memory schedule: one ancilla per check, CX layers from a bipartite edge coloring, CNOT orders filtered by a hook-error criterion; screened by RIS on ker(H_dem) and an observable-constrained seeded BP+OSD search"
  }
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}