{
 "schema_version": "0.1",
 "name": "[[71,1,11]]",
 "code_type": "CSS",
 "n": 71,
 "k": 1,
 "checks": {
  "X": [
   [
    24,
    25,
    35,
    36
   ],
   [
    15,
    16,
    26,
    27
   ],
   [
    37,
    38,
    46,
    47
   ],
   [
    8,
    9,
    17,
    18
   ],
   [
    28,
    29,
    39,
    40
   ],
   [
    48,
    49,
    55,
    56
   ],
   [
    3,
    4,
    10,
    11
   ],
   [
    19,
    20,
    30,
    31
   ],
   [
    41,
    42,
    50,
    51
   ],
   [
    57,
    58,
    62,
    63
   ],
   [
    0,
    1,
    5,
    6
   ],
   [
    12,
    13,
    21,
    22
   ],
   [
    32,
    33,
    43,
    44
   ],
   [
    52,
    53,
    59,
    60
   ],
   [
    64,
    65,
    67,
    68
   ],
   [
    1,
    2,
    6,
    7
   ],
   [
    13,
    14,
    22,
    23
   ],
   [
    33,
    34,
    44,
    45
   ],
   [
    53,
    54,
    60,
    61
   ],
   [
    65,
    66,
    68,
    69
   ],
   [
    25,
    26,
    27,
    28,
    36,
    37,
    38,
    39
   ],
   [
    16,
    17,
    18,
    19,
    27,
    28,
    29,
    30
   ],
   [
    38,
    39,
    40,
    41,
    47,
    48,
    49,
    50
   ],
   [
    9,
    10,
    11,
    12,
    18,
    19,
    20,
    21
   ],
   [
    29,
    30,
    31,
    32,
    40,
    41,
    42,
    43
   ],
   [
    49,
    50,
    51,
    52,
    56,
    57,
    58,
    59
   ],
   [
    4,
    5,
    6,
    7,
    11,
    12,
    13,
    14
   ],
   [
    20,
    21,
    22,
    23,
    31,
    32,
    33,
    34
   ],
   [
    42,
    43,
    44,
    45,
    51,
    52,
    53,
    54
   ],
   [
    58,
    59,
    60,
    61,
    63,
    64,
    65,
    66
   ],
   [
    0,
    3,
    4,
    5
   ],
   [
    8,
    15,
    16,
    17
   ],
   [
    35,
    36,
    37,
    46
   ],
   [
    55,
    56,
    57,
    62
   ],
   [
    67,
    68,
    69,
    70
   ]
  ],
  "Z": [
   [
    24,
    25,
    35,
    36
   ],
   [
    15,
    16,
    26,
    27
   ],
   [
    37,
    38,
    46,
    47
   ],
   [
    8,
    9,
    17,
    18
   ],
   [
    28,
    29,
    39,
    40
   ],
   [
    48,
    49,
    55,
    56
   ],
   [
    3,
    4,
    10,
    11
   ],
   [
    19,
    20,
    30,
    31
   ],
   [
    41,
    42,
    50,
    51
   ],
   [
    57,
    58,
    62,
    63
   ],
   [
    0,
    1,
    5,
    6
   ],
   [
    12,
    13,
    21,
    22
   ],
   [
    32,
    33,
    43,
    44
   ],
   [
    52,
    53,
    59,
    60
   ],
   [
    64,
    65,
    67,
    68
   ],
   [
    1,
    2,
    6,
    7
   ],
   [
    13,
    14,
    22,
    23
   ],
   [
    33,
    34,
    44,
    45
   ],
   [
    53,
    54,
    60,
    61
   ],
   [
    65,
    66,
    68,
    69
   ],
   [
    25,
    26,
    27,
    28,
    36,
    37,
    38,
    39
   ],
   [
    16,
    17,
    18,
    19,
    27,
    28,
    29,
    30
   ],
   [
    38,
    39,
    40,
    41,
    47,
    48,
    49,
    50
   ],
   [
    9,
    10,
    11,
    12,
    18,
    19,
    20,
    21
   ],
   [
    29,
    30,
    31,
    32,
    40,
    41,
    42,
    43
   ],
   [
    49,
    50,
    51,
    52,
    56,
    57,
    58,
    59
   ],
   [
    4,
    5,
    6,
    7,
    11,
    12,
    13,
    14
   ],
   [
    20,
    21,
    22,
    23,
    31,
    32,
    33,
    34
   ],
   [
    42,
    43,
    44,
    45,
    51,
    52,
    53,
    54
   ],
   [
    58,
    59,
    60,
    61,
    63,
    64,
    65,
    66
   ],
   [
    0,
    3,
    4,
    5
   ],
   [
    8,
    15,
    16,
    17
   ],
   [
    35,
    36,
    37,
    46
   ],
   [
    55,
    56,
    57,
    62
   ],
   [
    67,
    68,
    69,
    70
   ]
  ]
 },
 "distance": {
  "d": 11,
  "X": {
   "value": 11,
   "confidence": "upper_bound",
   "witness": [
    1,
    6,
    13,
    22,
    33,
    44,
    54,
    58,
    59,
    60,
    63
   ]
  },
  "Z": {
   "value": 11,
   "confidence": "upper_bound",
   "witness": [
    1,
    6,
    13,
    22,
    33,
    44,
    54,
    58,
    59,
    60,
    63
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Triangular 4.8.8 (square-octagon) color code at distance 11, reproduced from arXiv:2609.21376 Appendix D: data qubits on a triangular region of the square lattice (row widths 3,5,7,9,11,11,9,7,5,3,1), square weight-4 and octagon weight-8 faces, each face carrying both an XX and a ZZ check; H_X = H_Z = face-incidence matrix.",
  "origin": "submission",
  "date": "2026-09-21",
  "model": "GLM 5.3 Flash",
  "notes": "Reproduction of the published triangular 4.8.8 color code family (arXiv:2609.21376v1, Appendix D); parameters known in the literature. Checked against the board: no exact or WL-equivalent match to an existing entry. The paper proves circuit distance d_circ = d at d = 11 under superdense extraction; the code distance here is a witness-backed upper bound."
 },
 "family": "topological",
 "locality": {
  "coordinates": [
   [
    8.0,
    0.0
   ],
   [
    9.0,
    0.0
   ],
   [
    10.0,
    0.0
   ],
   [
    6.0,
    2.0
   ],
   [
    7.0,
    2.0
   ],
   [
    8.0,
    2.0
   ],
   [
    9.0,
    2.0
   ],
   [
    10.0,
    2.0
   ],
   [
    4.0,
    4.0
   ],
   [
    5.0,
    4.0
   ],
   [
    6.0,
    4.0
   ],
   [
    7.0,
    4.0
   ],
   [
    8.0,
    4.0
   ],
   [
    9.0,
    4.0
   ],
   [
    10.0,
    4.0
   ],
   [
    2.0,
    6.0
   ],
   [
    3.0,
    6.0
   ],
   [
    4.0,
    6.0
   ],
   [
    5.0,
    6.0
   ],
   [
    6.0,
    6.0
   ],
   [
    7.0,
    6.0
   ],
   [
    8.0,
    6.0
   ],
   [
    9.0,
    6.0
   ],
   [
    10.0,
    6.0
   ],
   [
    0.0,
    8.0
   ],
   [
    1.0,
    8.0
   ],
   [
    2.0,
    8.0
   ],
   [
    3.0,
    8.0
   ],
   [
    4.0,
    8.0
   ],
   [
    5.0,
    8.0
   ],
   [
    6.0,
    8.0
   ],
   [
    7.0,
    8.0
   ],
   [
    8.0,
    8.0
   ],
   [
    9.0,
    8.0
   ],
   [
    10.0,
    8.0
   ],
   [
    0.0,
    10.0
   ],
   [
    1.0,
    10.0
   ],
   [
    2.0,
    10.0
   ],
   [
    3.0,
    10.0
   ],
   [
    4.0,
    10.0
   ],
   [
    5.0,
    10.0
   ],
   [
    6.0,
    10.0
   ],
   [
    7.0,
    10.0
   ],
   [
    8.0,
    10.0
   ],
   [
    9.0,
    10.0
   ],
   [
    10.0,
    10.0
   ],
   [
    2.0,
    12.0
   ],
   [
    3.0,
    12.0
   ],
   [
    4.0,
    12.0
   ],
   [
    5.0,
    12.0
   ],
   [
    6.0,
    12.0
   ],
   [
    7.0,
    12.0
   ],
   [
    8.0,
    12.0
   ],
   [
    9.0,
    12.0
   ],
   [
    10.0,
    12.0
   ],
   [
    4.0,
    14.0
   ],
   [
    5.0,
    14.0
   ],
   [
    6.0,
    14.0
   ],
   [
    7.0,
    14.0
   ],
   [
    8.0,
    14.0
   ],
   [
    9.0,
    14.0
   ],
   [
    10.0,
    14.0
   ],
   [
    6.0,
    16.0
   ],
   [
    7.0,
    16.0
   ],
   [
    8.0,
    16.0
   ],
   [
    9.0,
    16.0
   ],
   [
    10.0,
    16.0
   ],
   [
    8.0,
    18.0
   ],
   [
    9.0,
    18.0
   ],
   [
    10.0,
    18.0
   ],
   [
    10.0,
    20.0
   ]
  ],
  "layers": 1,
  "interaction_radius": 3.605551275463989
 }
}
