{
 "schema_version": "0.1",
 "name": "local-sat bilayer 4x4x2 G=10 w6 t2 model 0",
 "code_type": "CSS",
 "n": 32,
 "k": 12,
 "checks": {
  "X": [
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    2,
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    18,
    19,
    21,
    22
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    12,
    26,
    29,
    31
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    10,
    13,
    26,
    29
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   [
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    17,
    18,
    20,
    22
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    8,
    10,
    11,
    23
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    21,
    24,
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    12,
    20,
    25,
    27
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    4,
    6,
    14,
    16,
    22
   ],
   [
    0,
    7,
    13,
    23,
    26,
    31
   ],
   [
    0,
    6,
    11,
    27,
    28,
    31
   ],
   [
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    8,
    10,
    24,
    29
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   [
    1,
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    26,
    28,
    29,
    31
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   [
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   [
    2,
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    19,
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    24
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   [
    5,
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    15,
    24,
    25,
    27
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   [
    3,
    12,
    16,
    19,
    20,
    29
   ],
   [
    14,
    16,
    20,
    21,
    25,
    30
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 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    9,
    11,
    28
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    13,
    29,
    31
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "SAT search (research/local_sat.py build_local_cnf with the grid site list repeated 2 times, n_side=4, G=10, max_weight=6, t=2 detection, anchor radius 3.5, shared_t3 encoding, CaDiCaL 1.9.5 via python-sat) over bilayer 2D-local CSS codes: 2 qubits per site of a 4x4 grid (layers=2), each check anchored at a grid site and acting within radius 3.5 of it, so the interaction radius is at most 7.0 by construction. Model index 0 of the enumeration; distance is a witness-backed upper bound.",
  "references": [],
  "date": "2026-09-26",
  "notes": "Phase 2 (bilayer) of the 2D-local SAT t=2+ campaign (issue #2024); instance b4_G10_w6_t2. Distance is an upper bound from the kit's RIS witness search at 20000 trials per side.",
  "model": "Claude Fable 5.1 (Claude Code)"
 },
 "family": "local-sat-css",
 "locality": {
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}