{
 "schema_version": "0.1",
 "name": "local-sat 8x8 G=20 w6 t2 model 0",
 "code_type": "CSS",
 "n": 64,
 "k": 24,
 "checks": {
  "X": [
   [
    35,
    49,
    50,
    51,
    52,
    58
   ],
   [
    1,
    8,
    17,
    18,
    19,
    33
   ],
   [
    45,
    54,
    55,
    61,
    62,
    63
   ],
   [
    14,
    15,
    22,
    23,
    30,
    39
   ],
   [
    23,
    31,
    38,
    39,
    47,
    55
   ],
   [
    42,
    50,
    51,
    56,
    57,
    59
   ],
   [
    9,
    16,
    17,
    18,
    24,
    26
   ],
   [
    41,
    48,
    57,
    58,
    59
   ],
   [
    0,
    1,
    2,
    3,
    9,
    10
   ],
   [
    39,
    46,
    47,
    53,
    54,
    63
   ],
   [
    52,
    53,
    59,
    60,
    62,
    63
   ],
   [
    16,
    25,
    33,
    34,
    40,
    48
   ],
   [
    5,
    13,
    19,
    22,
    28,
    37
   ],
   [
    3,
    4,
    5,
    6,
    7,
    14
   ],
   [
    6,
    14,
    15,
    21,
    29,
    38
   ],
   [
    2,
    4,
    12,
    13,
    20,
    27
   ],
   [
    29,
    37,
    43,
    44,
    45,
    52
   ],
   [
    32,
    40,
    41,
    48,
    50,
    56
   ],
   [
    3,
    10,
    11,
    12,
    18
   ],
   [
    20,
    26,
    34,
    35,
    36,
    43
   ]
  ],
  "Z": [
   [
    2,
    8,
    9,
    11,
    12,
    17
   ],
   [
    6,
    14,
    15,
    23,
    30,
    38
   ],
   [
    8,
    16,
    24,
    33
   ],
   [
    36,
    43,
    44,
    46,
    53,
    60
   ],
   [
    54,
    61,
    62,
    63
   ],
   [
    0,
    1,
    11,
    16,
    18,
    25
   ],
   [
    28,
    37,
    42,
    51,
    52,
    60
   ],
   [
    4,
    5,
    7,
    13,
    14,
    15
   ],
   [
    17,
    25,
    26,
    33,
    35,
    49
   ],
   [
    46,
    47,
    53,
    55,
    63
   ],
   [
    34,
    35,
    40,
    41,
    58
   ],
   [
    20,
    22,
    27,
    28,
    30,
    36
   ],
   [
    0,
    2,
    3,
    4,
    10
   ],
   [
    32,
    40,
    48,
    49,
    50,
    57
   ],
   [
    9,
    10,
    13,
    18,
    19,
    27
   ],
   [
    22,
    31,
    37,
    39,
    45,
    54
   ],
   [
    34,
    43,
    48,
    50,
    52,
    59
   ],
   [
    42,
    50,
    56,
    57,
    58
   ],
   [
    29,
    38,
    45,
    46,
    47,
    61
   ],
   [
    7,
    14,
    21,
    23,
    31
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    16,
    25,
    33
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    46,
    54,
    61
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "SAT search (research/local_sat.py build_local_cnf, n_side=8, G=20, max_weight=6, t=2 detection, anchor radius 2.0, shared_t3 encoding, CaDiCaL 1.9.5 via python-sat) over 2D-local CSS codes on a 8x8 grid; each check is anchored at a grid site and acts within radius 2.0 of it, so the interaction radius is at most 4.0 by construction. Model index 0 of the enumeration; distance is a witness-backed upper bound.",
  "references": [],
  "date": "2026-09-26",
  "notes": "Phase 1 of the 2D-local SAT t=2+ campaign (issue #2024); instance s8_G20_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": {
  "coordinates": [
   [
    0.0,
    0.0
   ],
   [
    1.0,
    0.0
   ],
   [
    2.0,
    0.0
   ],
   [
    3.0,
    0.0
   ],
   [
    4.0,
    0.0
   ],
   [
    5.0,
    0.0
   ],
   [
    6.0,
    0.0
   ],
   [
    7.0,
    0.0
   ],
   [
    0.0,
    1.0
   ],
   [
    1.0,
    1.0
   ],
   [
    2.0,
    1.0
   ],
   [
    3.0,
    1.0
   ],
   [
    4.0,
    1.0
   ],
   [
    5.0,
    1.0
   ],
   [
    6.0,
    1.0
   ],
   [
    7.0,
    1.0
   ],
   [
    0.0,
    2.0
   ],
   [
    1.0,
    2.0
   ],
   [
    2.0,
    2.0
   ],
   [
    3.0,
    2.0
   ],
   [
    4.0,
    2.0
   ],
   [
    5.0,
    2.0
   ],
   [
    6.0,
    2.0
   ],
   [
    7.0,
    2.0
   ],
   [
    0.0,
    3.0
   ],
   [
    1.0,
    3.0
   ],
   [
    2.0,
    3.0
   ],
   [
    3.0,
    3.0
   ],
   [
    4.0,
    3.0
   ],
   [
    5.0,
    3.0
   ],
   [
    6.0,
    3.0
   ],
   [
    7.0,
    3.0
   ],
   [
    0.0,
    4.0
   ],
   [
    1.0,
    4.0
   ],
   [
    2.0,
    4.0
   ],
   [
    3.0,
    4.0
   ],
   [
    4.0,
    4.0
   ],
   [
    5.0,
    4.0
   ],
   [
    6.0,
    4.0
   ],
   [
    7.0,
    4.0
   ],
   [
    0.0,
    5.0
   ],
   [
    1.0,
    5.0
   ],
   [
    2.0,
    5.0
   ],
   [
    3.0,
    5.0
   ],
   [
    4.0,
    5.0
   ],
   [
    5.0,
    5.0
   ],
   [
    6.0,
    5.0
   ],
   [
    7.0,
    5.0
   ],
   [
    0.0,
    6.0
   ],
   [
    1.0,
    6.0
   ],
   [
    2.0,
    6.0
   ],
   [
    3.0,
    6.0
   ],
   [
    4.0,
    6.0
   ],
   [
    5.0,
    6.0
   ],
   [
    6.0,
    6.0
   ],
   [
    7.0,
    6.0
   ],
   [
    0.0,
    7.0
   ],
   [
    1.0,
    7.0
   ],
   [
    2.0,
    7.0
   ],
   [
    3.0,
    7.0
   ],
   [
    4.0,
    7.0
   ],
   [
    5.0,
    7.0
   ],
   [
    6.0,
    7.0
   ],
   [
    7.0,
    7.0
   ]
  ],
  "interaction_radius": 4.0,
  "layers": 1
 }
}