{
 "schema_version": "0.1",
 "name": "[[230,40,6]] [[4,2,2]]-amplified local-sat bilayer 5x5x2 G=15 w6 t2 model 0",
 "code_type": "CSS",
 "n": 230,
 "k": 40,
 "checks": {
  "X": [
   [
    84,
    124,
    132,
    148,
    172,
    215
   ],
   [
    85,
    125,
    133,
    149,
    173,
    215
   ],
   [
    86,
    126,
    134,
    150,
    174,
    215
   ],
   [
    87,
    127,
    135,
    151,
    175,
    215
   ],
   [
    0,
    4,
    8,
    44,
    180,
    184,
    216
   ],
   [
    1,
    5,
    9,
    45,
    181,
    185,
    216
   ],
   [
    2,
    6,
    10,
    46,
    182,
    186,
    216
   ],
   [
    3,
    7,
    11,
    47,
    183,
    187,
    216
   ],
   [
    24,
    48,
    80,
    128,
    172,
    192,
    217
   ],
   [
    25,
    49,
    81,
    129,
    173,
    193,
    217
   ],
   [
    26,
    50,
    82,
    130,
    174,
    194,
    217
   ],
   [
    27,
    51,
    83,
    131,
    175,
    195,
    217
   ],
   [
    56,
    68,
    72,
    108,
    156,
    164,
    218
   ],
   [
    57,
    69,
    73,
    109,
    157,
    165,
    218
   ],
   [
    58,
    70,
    74,
    110,
    158,
    166,
    218
   ],
   [
    59,
    71,
    75,
    111,
    159,
    167,
    218
   ],
   [
    36,
    48,
    120,
    160,
    180,
    196,
    219
   ],
   [
    37,
    49,
    121,
    161,
    181,
    197,
    219
   ],
   [
    38,
    50,
    122,
    162,
    182,
    198,
    219
   ],
   [
    39,
    51,
    123,
    163,
    183,
    199,
    219
   ],
   [
    24,
    32,
    60,
    84,
    88,
    136,
    220
   ],
   [
    25,
    33,
    61,
    85,
    89,
    137,
    220
   ],
   [
    26,
    34,
    62,
    86,
    90,
    138,
    220
   ],
   [
    27,
    35,
    63,
    87,
    91,
    139,
    220
   ],
   [
    16,
    52,
    56,
    100,
    112,
    148,
    221
   ],
   [
    17,
    53,
    57,
    101,
    113,
    149,
    221
   ],
   [
    18,
    54,
    58,
    102,
    114,
    150,
    221
   ],
   [
    19,
    55,
    59,
    103,
    115,
    151,
    221
   ],
   [
    40,
    52,
    132,
    140,
    168,
    188,
    222
   ],
   [
    41,
    53,
    133,
    141,
    169,
    189,
    222
   ],
   [
    42,
    54,
    134,
    142,
    170,
    190,
    222
   ],
   [
    43,
    55,
    135,
    143,
    171,
    191,
    222
   ],
   [
    92,
    140,
    144,
    152,
    192,
    196,
    223
   ],
   [
    93,
    141,
    145,
    153,
    193,
    197,
    223
   ],
   [
    94,
    142,
    146,
    154,
    194,
    198,
    223
   ],
   [
    95,
    143,
    147,
    155,
    195,
    199,
    223
   ],
   [
    4,
    20,
    28,
    36,
    60,
    176,
    224
   ],
   [
    5,
    21,
    29,
    37,
    61,
    177,
    224
   ],
   [
    6,
    22,
    30,
    38,
    62,
    178,
    224
   ],
   [
    7,
    23,
    31,
    39,
    63,
    179,
    224
   ],
   [
    8,
    12,
    16,
    28,
    164,
    168,
    225
   ],
   [
    9,
    13,
    17,
    29,
    165,
    169,
    225
   ],
   [
    10,
    14,
    18,
    30,
    166,
    170,
    225
   ],
   [
    11,
    15,
    19,
    31,
    167,
    171,
    225
   ],
   [
    40,
    64,
    68,
    100,
    116,
    136,
    226
   ],
   [
    41,
    65,
    69,
    101,
    117,
    137,
    226
   ],
   [
    42,
    66,
    70,
    102,
    118,
    138,
    226
   ],
   [
    43,
    67,
    71,
    103,
    119,
    139,
    226
   ],
   [
    88,
    92,
    104,
    128,
    140,
    184,
    227
   ],
   [
    89,
    93,
    105,
    129,
    141,
    185,
    227
   ],
   [
    90,
    94,
    106,
    130,
    142,
    186,
    227
   ],
   [
    91,
    95,
    107,
    131,
    143,
    187,
    227
   ],
   [
    60,
    64,
    76,
    108,
    152,
    176,
    228
   ],
   [
    61,
    65,
    77,
    109,
    153,
    177,
    228
   ],
   [
    62,
    66,
    78,
    110,
    154,
    178,
    228
   ],
   [
    63,
    67,
    79,
    111,
    155,
    179,
    228
   ],
   [
    4,
    44,
    96,
    156,
    160,
    176,
    229
   ],
   [
    5,
    45,
    97,
    157,
    161,
    177,
    229
   ],
   [
    6,
    46,
    98,
    158,
    162,
    178,
    229
   ],
   [
    7,
    47,
    99,
    159,
    163,
    179,
    229
   ],
   [
    0,
    1,
    2,
    3,
    201,
    209,
    210
   ],
   [
    4,
    5,
    6,
    7,
    208
   ],
   [
    8,
    9,
    10,
    11,
    210,
    213
   ],
   [
    12,
    13,
    14,
    15,
    210
   ],
   [
    16,
    17,
    18,
    19,
    200,
    211
   ],
   [
    20,
    21,
    22,
    23,
    207,
    213
   ],
   [
    24,
    25,
    26,
    27,
    204,
    208
   ],
   [
    28,
    29,
    30,
    31,
    206,
    213
   ],
   [
    32,
    33,
    34,
    35,
    204,
    208,
    213
   ],
   [
    36,
    37,
    38,
    39,
    205,
    208
   ],
   [
    40,
    41,
    42,
    43,
    200,
    207
   ],
   [
    44,
    45,
    46,
    47,
    208,
    212
   ],
   [
    48,
    49,
    50,
    51,
    202,
    208
   ],
   [
    52,
    53,
    54,
    55,
    202,
    203,
    210
   ],
   [
    56,
    57,
    58,
    59,
    211
   ],
   [
    60,
    61,
    62,
    63,
    205
   ],
   [
    64,
    65,
    66,
    67,
    207,
    212
   ],
   [
    68,
    69,
    70,
    71,
    203,
    205
   ],
   [
    72,
    73,
    74,
    75,
    203,
    206
   ],
   [
    76,
    77,
    78,
    79,
    204,
    212
   ],
   [
    80,
    81,
    82,
    83,
    201,
    204
   ],
   [
    84,
    85,
    86,
    87,
    214
   ],
   [
    88,
    89,
    90,
    91,
    213
   ],
   [
    92,
    93,
    94,
    95,
    203,
    209,
    211
   ],
   [
    96,
    97,
    98,
    99,
    207
   ],
   [
    100,
    101,
    102,
    103,
    203,
    214
   ],
   [
    104,
    105,
    106,
    107,
    201,
    211
   ],
   [
    108,
    109,
    110,
    111,
    205,
    206
   ],
   [
    112,
    113,
    114,
    115,
    210,
    214
   ],
   [
    116,
    117,
    118,
    119,
    200,
    212
   ],
   [
    120,
    121,
    122,
    123,
    201,
    205
   ],
   [
    124,
    125,
    126,
    127,
    200,
    209
   ],
   [
    128,
    129,
    130,
    131,
    201
   ],
   [
    132,
    133,
    134,
    135,
    202,
    214
   ],
   [
    136,
    137,
    138,
    139,
    205,
    214
   ],
   [
    140,
    141,
    142,
    143,
    203
   ],
   [
    144,
    145,
    146,
    147,
    204,
    211
   ],
   [
    148,
    149,
    150,
    151,
    200,
    202
   ],
   [
    152,
    153,
    154,
    155,
    204
   ],
   [
    156,
    157,
    158,
    159,
    206
   ],
   [
    160,
    161,
    162,
    163,
    212
   ],
   [
    164,
    165,
    166,
    167,
    206,
    211
   ],
   [
    168,
    169,
    170,
    171,
    200
   ],
   [
    172,
    173,
    174,
    175,
    209
   ],
   [
    176,
    177,
    178,
    179,
    206,
    207
   ],
   [
    180,
    181,
    182,
    183,
    201,
    212
   ],
   [
    184,
    185,
    186,
    187,
    209,
    213
   ],
   [
    188,
    189,
    190,
    191,
    207,
    210,
    214
   ],
   [
    192,
    193,
    194,
    195,
    202,
    209
   ],
   [
    196,
    197,
    198,
    199,
    202
   ]
  ],
  "Z": [
   [
    16,
    40,
    116,
    124,
    148,
    168,
    200
   ],
   [
    17,
    41,
    117,
    125,
    149,
    169,
    200
   ],
   [
    18,
    42,
    118,
    126,
    150,
    170,
    200
   ],
   [
    19,
    43,
    119,
    127,
    151,
    171,
    200
   ],
   [
    0,
    80,
    104,
    120,
    128,
    180,
    201
   ],
   [
    1,
    81,
    105,
    121,
    129,
    181,
    201
   ],
   [
    2,
    82,
    106,
    122,
    130,
    182,
    201
   ],
   [
    3,
    83,
    107,
    123,
    131,
    183,
    201
   ],
   [
    48,
    52,
    132,
    148,
    192,
    196,
    202
   ],
   [
    49,
    53,
    133,
    149,
    193,
    197,
    202
   ],
   [
    50,
    54,
    134,
    150,
    194,
    198,
    202
   ],
   [
    51,
    55,
    135,
    151,
    195,
    199,
    202
   ],
   [
    52,
    68,
    72,
    92,
    100,
    140,
    203
   ],
   [
    53,
    69,
    73,
    93,
    101,
    141,
    203
   ],
   [
    54,
    70,
    74,
    94,
    102,
    142,
    203
   ],
   [
    55,
    71,
    75,
    95,
    103,
    143,
    203
   ],
   [
    24,
    32,
    76,
    80,
    144,
    152,
    204
   ],
   [
    25,
    33,
    77,
    81,
    145,
    153,
    204
   ],
   [
    26,
    34,
    78,
    82,
    146,
    154,
    204
   ],
   [
    27,
    35,
    79,
    83,
    147,
    155,
    204
   ],
   [
    36,
    60,
    68,
    108,
    120,
    136,
    205
   ],
   [
    37,
    61,
    69,
    109,
    121,
    137,
    205
   ],
   [
    38,
    62,
    70,
    110,
    122,
    138,
    205
   ],
   [
    39,
    63,
    71,
    111,
    123,
    139,
    205
   ],
   [
    28,
    72,
    108,
    156,
    164,
    176,
    206
   ],
   [
    29,
    73,
    109,
    157,
    165,
    177,
    206
   ],
   [
    30,
    74,
    110,
    158,
    166,
    178,
    206
   ],
   [
    31,
    75,
    111,
    159,
    167,
    179,
    206
   ],
   [
    20,
    40,
    64,
    96,
    176,
    188,
    207
   ],
   [
    21,
    41,
    65,
    97,
    177,
    189,
    207
   ],
   [
    22,
    42,
    66,
    98,
    178,
    190,
    207
   ],
   [
    23,
    43,
    67,
    99,
    179,
    191,
    207
   ],
   [
    4,
    24,
    32,
    36,
    44,
    48,
    208
   ],
   [
    5,
    25,
    33,
    37,
    45,
    49,
    208
   ],
   [
    6,
    26,
    34,
    38,
    46,
    50,
    208
   ],
   [
    7,
    27,
    35,
    39,
    47,
    51,
    208
   ],
   [
    0,
    92,
    124,
    172,
    184,
    192,
    209
   ],
   [
    1,
    93,
    125,
    173,
    185,
    193,
    209
   ],
   [
    2,
    94,
    126,
    174,
    186,
    194,
    209
   ],
   [
    3,
    95,
    127,
    175,
    187,
    195,
    209
   ],
   [
    0,
    8,
    12,
    52,
    112,
    188,
    210
   ],
   [
    1,
    9,
    13,
    53,
    113,
    189,
    210
   ],
   [
    2,
    10,
    14,
    54,
    114,
    190,
    210
   ],
   [
    3,
    11,
    15,
    55,
    115,
    191,
    210
   ],
   [
    16,
    56,
    92,
    104,
    144,
    164,
    211
   ],
   [
    17,
    57,
    93,
    105,
    145,
    165,
    211
   ],
   [
    18,
    58,
    94,
    106,
    146,
    166,
    211
   ],
   [
    19,
    59,
    95,
    107,
    147,
    167,
    211
   ],
   [
    44,
    64,
    76,
    116,
    160,
    180,
    212
   ],
   [
    45,
    65,
    77,
    117,
    161,
    181,
    212
   ],
   [
    46,
    66,
    78,
    118,
    162,
    182,
    212
   ],
   [
    47,
    67,
    79,
    119,
    163,
    183,
    212
   ],
   [
    8,
    20,
    28,
    32,
    88,
    184,
    213
   ],
   [
    9,
    21,
    29,
    33,
    89,
    185,
    213
   ],
   [
    10,
    22,
    30,
    34,
    90,
    186,
    213
   ],
   [
    11,
    23,
    31,
    35,
    91,
    187,
    213
   ],
   [
    84,
    100,
    112,
    132,
    136,
    188,
    214
   ],
   [
    85,
    101,
    113,
    133,
    137,
    189,
    214
   ],
   [
    86,
    102,
    114,
    134,
    138,
    190,
    214
   ],
   [
    87,
    103,
    115,
    135,
    139,
    191,
    214
   ],
   [
    0,
    1,
    2,
    3,
    216
   ],
   [
    4,
    5,
    6,
    7,
    216,
    224,
    229
   ],
   [
    8,
    9,
    10,
    11,
    216,
    225
   ],
   [
    12,
    13,
    14,
    15,
    225
   ],
   [
    16,
    17,
    18,
    19,
    221,
    225
   ],
   [
    20,
    21,
    22,
    23,
    224
   ],
   [
    24,
    25,
    26,
    27,
    217,
    220
   ],
   [
    28,
    29,
    30,
    31,
    224,
    225
   ],
   [
    32,
    33,
    34,
    35,
    220
   ],
   [
    36,
    37,
    38,
    39,
    219,
    224
   ],
   [
    40,
    41,
    42,
    43,
    222,
    226
   ],
   [
    44,
    45,
    46,
    47,
    216,
    229
   ],
   [
    48,
    49,
    50,
    51,
    217,
    219
   ],
   [
    52,
    53,
    54,
    55,
    221,
    222
   ],
   [
    56,
    57,
    58,
    59,
    218,
    221
   ],
   [
    60,
    61,
    62,
    63,
    220,
    224,
    228
   ],
   [
    64,
    65,
    66,
    67,
    226,
    228
   ],
   [
    68,
    69,
    70,
    71,
    218,
    226
   ],
   [
    72,
    73,
    74,
    75,
    218
   ],
   [
    76,
    77,
    78,
    79,
    228
   ],
   [
    80,
    81,
    82,
    83,
    217
   ],
   [
    84,
    85,
    86,
    87,
    215,
    220
   ],
   [
    88,
    89,
    90,
    91,
    220,
    227
   ],
   [
    92,
    93,
    94,
    95,
    223,
    227
   ],
   [
    96,
    97,
    98,
    99,
    229
   ],
   [
    100,
    101,
    102,
    103,
    221,
    226
   ],
   [
    104,
    105,
    106,
    107,
    227
   ],
   [
    108,
    109,
    110,
    111,
    218,
    228
   ],
   [
    112,
    113,
    114,
    115,
    221
   ],
   [
    116,
    117,
    118,
    119,
    226
   ],
   [
    120,
    121,
    122,
    123,
    219
   ],
   [
    124,
    125,
    126,
    127,
    215
   ],
   [
    128,
    129,
    130,
    131,
    217,
    227
   ],
   [
    132,
    133,
    134,
    135,
    215,
    222
   ],
   [
    136,
    137,
    138,
    139,
    220,
    226
   ],
   [
    140,
    141,
    142,
    143,
    222,
    223,
    227
   ],
   [
    144,
    145,
    146,
    147,
    223
   ],
   [
    148,
    149,
    150,
    151,
    215,
    221
   ],
   [
    152,
    153,
    154,
    155,
    223,
    228
   ],
   [
    156,
    157,
    158,
    159,
    218,
    229
   ],
   [
    160,
    161,
    162,
    163,
    219,
    229
   ],
   [
    164,
    165,
    166,
    167,
    218,
    225
   ],
   [
    168,
    169,
    170,
    171,
    222,
    225
   ],
   [
    172,
    173,
    174,
    175,
    215,
    217
   ],
   [
    176,
    177,
    178,
    179,
    224,
    228,
    229
   ],
   [
    180,
    181,
    182,
    183,
    216,
    219
   ],
   [
    184,
    185,
    186,
    187,
    216,
    227
   ],
   [
    188,
    189,
    190,
    191,
    222
   ],
   [
    192,
    193,
    194,
    195,
    217,
    223
   ],
   [
    196,
    197,
    198,
    199,
    219,
    223
   ]
  ]
 },
 "distance": {
  "d": 6,
  "X": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    16,
    17,
    56,
    57,
    168,
    169
   ]
  },
  "Z": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    40,
    41,
    52,
    53,
    100,
    101
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Distance-amplified code: one [[4,2,2]] tensor-product amplification step (central three-term truncation of the chain-complex tensor product, arXiv:2609.37231 Eq. 1/Eq. 12-15) applied to the board's local-sat bilayer 5x5x2 G=15 w6 t2 model 0 entry, using a sparse independent-row presentation of its checks: n' = 4n + m_X + m_Z = 230, k' = 2k = 40, check weight w' = w+1 = 7. X/Z witnesses are the base witnesses tensored with the weight-2 [[4,2,2]] logical on the central register (weights 6/6); a 100000-trial fast-backend search (seed 5000) found nothing lighter (min weight 6). Base provenance: SAT search (research/local_sat.py build_local_cnf with the grid site list repeated 2 times, n_side=5, G=15, 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 5x5 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": [
   "arXiv:2609.37231"
  ],
  "date": "2026-09-30",
  "notes": "Constructed and packaged with the Space Bunny Alpha 1.0 model.",
  "model": "Space Bunny Alpha 1.0"
 },
 "family": "distance-amplified"
}