{
 "schema_version": "0.2",
 "name": "[[66,20,7]]",
 "code_type": "CSS",
 "n": 66,
 "k": 20,
 "checks": {
  "X": [
   [
    1,
    6,
    23,
    28,
    30,
    31,
    32,
    33,
    34,
    36,
    42,
    44,
    51,
    53,
    59,
    61,
    62,
    63,
    65
   ],
   [
    0,
    2,
    7,
    24,
    29,
    31,
    32,
    33,
    34,
    35,
    37,
    43,
    45,
    52,
    54,
    60,
    62,
    63,
    64
   ],
   [
    0,
    1,
    3,
    8,
    25,
    30,
    32,
    34,
    35,
    36,
    38,
    44,
    46,
    53,
    55,
    61,
    63,
    64,
    65
   ],
   [
    0,
    1,
    2,
    4,
    9,
    26,
    31,
    33,
    35,
    36,
    37,
    39,
    45,
    47,
    54,
    56,
    62,
    64,
    65
   ],
   [
    1,
    2,
    3,
    5,
    10,
    27,
    32,
    33,
    34,
    36,
    37,
    38,
    40,
    46,
    48,
    55,
    57,
    63,
    65
   ],
   [
    0,
    2,
    3,
    4,
    6,
    11,
    28,
    33,
    34,
    35,
    37,
    38,
    39,
    41,
    47,
    49,
    56,
    58,
    64
   ],
   [
    1,
    3,
    4,
    5,
    7,
    12,
    29,
    34,
    35,
    36,
    38,
    39,
    40,
    42,
    48,
    50,
    57,
    59,
    65
   ],
   [
    2,
    4,
    5,
    6,
    8,
    13,
    30,
    33,
    35,
    36,
    37,
    39,
    40,
    41,
    43,
    49,
    51,
    58,
    60
   ],
   [
    3,
    5,
    6,
    7,
    9,
    14,
    31,
    34,
    36,
    37,
    38,
    40,
    41,
    42,
    44,
    50,
    52,
    59,
    61
   ],
   [
    4,
    6,
    7,
    8,
    10,
    15,
    32,
    35,
    37,
    38,
    39,
    41,
    42,
    43,
    45,
    51,
    53,
    60,
    62
   ],
   [
    0,
    5,
    7,
    8,
    9,
    11,
    16,
    36,
    38,
    39,
    40,
    42,
    43,
    44,
    46,
    52,
    54,
    61,
    63
   ],
   [
    1,
    6,
    8,
    9,
    10,
    12,
    17,
    37,
    39,
    40,
    41,
    43,
    44,
    45,
    47,
    53,
    55,
    62,
    64
   ],
   [
    2,
    7,
    9,
    10,
    11,
    13,
    18,
    38,
    40,
    41,
    42,
    44,
    45,
    46,
    48,
    54,
    56,
    63,
    65
   ],
   [
    3,
    8,
    10,
    11,
    12,
    14,
    19,
    33,
    39,
    41,
    42,
    43,
    45,
    46,
    47,
    49,
    55,
    57,
    64
   ],
   [
    4,
    9,
    11,
    12,
    13,
    15,
    20,
    34,
    40,
    42,
    43,
    44,
    46,
    47,
    48,
    50,
    56,
    58,
    65
   ],
   [
    5,
    10,
    12,
    13,
    14,
    16,
    21,
    33,
    35,
    41,
    43,
    44,
    45,
    47,
    48,
    49,
    51,
    57,
    59
   ],
   [
    6,
    11,
    13,
    14,
    15,
    17,
    22,
    34,
    36,
    42,
    44,
    45,
    46,
    48,
    49,
    50,
    52,
    58,
    60
   ],
   [
    7,
    12,
    14,
    15,
    16,
    18,
    23,
    35,
    37,
    43,
    45,
    46,
    47,
    49,
    50,
    51,
    53,
    59,
    61
   ],
   [
    8,
    13,
    15,
    16,
    17,
    19,
    24,
    36,
    38,
    44,
    46,
    47,
    48,
    50,
    51,
    52,
    54,
    60,
    62
   ],
   [
    9,
    14,
    16,
    17,
    18,
    20,
    25,
    37,
    39,
    45,
    47,
    48,
    49,
    51,
    52,
    53,
    55,
    61,
    63
   ],
   [
    10,
    15,
    17,
    18,
    19,
    21,
    26,
    38,
    40,
    46,
    48,
    49,
    50,
    52,
    53,
    54,
    56,
    62,
    64
   ],
   [
    11,
    16,
    18,
    19,
    20,
    22,
    27,
    39,
    41,
    47,
    49,
    50,
    51,
    53,
    54,
    55,
    57,
    63,
    65
   ],
   [
    12,
    17,
    19,
    20,
    21,
    23,
    28,
    33,
    40,
    42,
    48,
    50,
    51,
    52,
    54,
    55,
    56,
    58,
    64
   ],
   [
    13,
    18,
    20,
    21,
    22,
    24,
    29,
    34,
    41,
    43,
    49,
    51,
    52,
    53,
    55,
    56,
    57,
    59,
    65
   ],
   [
    14,
    19,
    21,
    22,
    23,
    25,
    30,
    33,
    35,
    42,
    44,
    50,
    52,
    53,
    54,
    56,
    57,
    58,
    60
   ],
   [
    15,
    20,
    22,
    23,
    24,
    26,
    31,
    34,
    36,
    43,
    45,
    51,
    53,
    54,
    55,
    57,
    58,
    59,
    61
   ],
   [
    16,
    21,
    23,
    24,
    25,
    27,
    32,
    35,
    37,
    44,
    46,
    52,
    54,
    55,
    56,
    58,
    59,
    60,
    62
   ],
   [
    0,
    17,
    22,
    24,
    25,
    26,
    28,
    36,
    38,
    45,
    47,
    53,
    55,
    56,
    57,
    59,
    60,
    61,
    63
   ],
   [
    1,
    18,
    23,
    25,
    26,
    27,
    29,
    37,
    39,
    46,
    48,
    54,
    56,
    57,
    58,
    60,
    61,
    62,
    64
   ],
   [
    2,
    19,
    24,
    26,
    27,
    28,
    30,
    38,
    40,
    47,
    49,
    55,
    57,
    58,
    59,
    61,
    62,
    63,
    65
   ],
   [
    3,
    20,
    25,
    27,
    28,
    29,
    31,
    33,
    39,
    41,
    48,
    50,
    56,
    58,
    59,
    60,
    62,
    63,
    64
   ],
   [
    4,
    21,
    26,
    28,
    29,
    30,
    32,
    34,
    40,
    42,
    49,
    51,
    57,
    59,
    60,
    61,
    63,
    64,
    65
   ],
   [
    0,
    5,
    22,
    27,
    29,
    30,
    31,
    33,
    35,
    41,
    43,
    50,
    52,
    58,
    60,
    61,
    62,
    64,
    65
   ]
  ],
  "Z": [
   [
    0,
    1,
    3,
    4,
    5,
    7,
    13,
    15,
    22,
    24,
    30,
    32,
    34,
    35,
    36,
    38,
    43,
    60,
    65
   ],
   [
    0,
    1,
    2,
    4,
    5,
    6,
    8,
    14,
    16,
    23,
    25,
    31,
    33,
    35,
    36,
    37,
    39,
    44,
    61
   ],
   [
    1,
    2,
    3,
    5,
    6,
    7,
    9,
    15,
    17,
    24,
    26,
    32,
    34,
    36,
    37,
    38,
    40,
    45,
    62
   ],
   [
    0,
    2,
    3,
    4,
    6,
    7,
    8,
    10,
    16,
    18,
    25,
    27,
    35,
    37,
    38,
    39,
    41,
    46,
    63
   ],
   [
    1,
    3,
    4,
    5,
    7,
    8,
    9,
    11,
    17,
    19,
    26,
    28,
    36,
    38,
    39,
    40,
    42,
    47,
    64
   ],
   [
    2,
    4,
    5,
    6,
    8,
    9,
    10,
    12,
    18,
    20,
    27,
    29,
    37,
    39,
    40,
    41,
    43,
    48,
    65
   ],
   [
    3,
    5,
    6,
    7,
    9,
    10,
    11,
    13,
    19,
    21,
    28,
    30,
    33,
    38,
    40,
    41,
    42,
    44,
    49
   ],
   [
    4,
    6,
    7,
    8,
    10,
    11,
    12,
    14,
    20,
    22,
    29,
    31,
    34,
    39,
    41,
    42,
    43,
    45,
    50
   ],
   [
    5,
    7,
    8,
    9,
    11,
    12,
    13,
    15,
    21,
    23,
    30,
    32,
    35,
    40,
    42,
    43,
    44,
    46,
    51
   ],
   [
    0,
    6,
    8,
    9,
    10,
    12,
    13,
    14,
    16,
    22,
    24,
    31,
    36,
    41,
    43,
    44,
    45,
    47,
    52
   ],
   [
    1,
    7,
    9,
    10,
    11,
    13,
    14,
    15,
    17,
    23,
    25,
    32,
    37,
    42,
    44,
    45,
    46,
    48,
    53
   ],
   [
    0,
    2,
    8,
    10,
    11,
    12,
    14,
    15,
    16,
    18,
    24,
    26,
    38,
    43,
    45,
    46,
    47,
    49,
    54
   ],
   [
    1,
    3,
    9,
    11,
    12,
    13,
    15,
    16,
    17,
    19,
    25,
    27,
    39,
    44,
    46,
    47,
    48,
    50,
    55
   ],
   [
    2,
    4,
    10,
    12,
    13,
    14,
    16,
    17,
    18,
    20,
    26,
    28,
    40,
    45,
    47,
    48,
    49,
    51,
    56
   ],
   [
    3,
    5,
    11,
    13,
    14,
    15,
    17,
    18,
    19,
    21,
    27,
    29,
    41,
    46,
    48,
    49,
    50,
    52,
    57
   ],
   [
    4,
    6,
    12,
    14,
    15,
    16,
    18,
    19,
    20,
    22,
    28,
    30,
    42,
    47,
    49,
    50,
    51,
    53,
    58
   ],
   [
    5,
    7,
    13,
    15,
    16,
    17,
    19,
    20,
    21,
    23,
    29,
    31,
    43,
    48,
    50,
    51,
    52,
    54,
    59
   ],
   [
    6,
    8,
    14,
    16,
    17,
    18,
    20,
    21,
    22,
    24,
    30,
    32,
    44,
    49,
    51,
    52,
    53,
    55,
    60
   ],
   [
    0,
    7,
    9,
    15,
    17,
    18,
    19,
    21,
    22,
    23,
    25,
    31,
    45,
    50,
    52,
    53,
    54,
    56,
    61
   ],
   [
    1,
    8,
    10,
    16,
    18,
    19,
    20,
    22,
    23,
    24,
    26,
    32,
    46,
    51,
    53,
    54,
    55,
    57,
    62
   ],
   [
    0,
    2,
    9,
    11,
    17,
    19,
    20,
    21,
    23,
    24,
    25,
    27,
    47,
    52,
    54,
    55,
    56,
    58,
    63
   ],
   [
    1,
    3,
    10,
    12,
    18,
    20,
    21,
    22,
    24,
    25,
    26,
    28,
    48,
    53,
    55,
    56,
    57,
    59,
    64
   ],
   [
    2,
    4,
    11,
    13,
    19,
    21,
    22,
    23,
    25,
    26,
    27,
    29,
    49,
    54,
    56,
    57,
    58,
    60,
    65
   ],
   [
    3,
    5,
    12,
    14,
    20,
    22,
    23,
    24,
    26,
    27,
    28,
    30,
    33,
    50,
    55,
    57,
    58,
    59,
    61
   ],
   [
    4,
    6,
    13,
    15,
    21,
    23,
    24,
    25,
    27,
    28,
    29,
    31,
    34,
    51,
    56,
    58,
    59,
    60,
    62
   ],
   [
    5,
    7,
    14,
    16,
    22,
    24,
    25,
    26,
    28,
    29,
    30,
    32,
    35,
    52,
    57,
    59,
    60,
    61,
    63
   ],
   [
    0,
    6,
    8,
    15,
    17,
    23,
    25,
    26,
    27,
    29,
    30,
    31,
    36,
    53,
    58,
    60,
    61,
    62,
    64
   ],
   [
    1,
    7,
    9,
    16,
    18,
    24,
    26,
    27,
    28,
    30,
    31,
    32,
    37,
    54,
    59,
    61,
    62,
    63,
    65
   ],
   [
    0,
    2,
    8,
    10,
    17,
    19,
    25,
    27,
    28,
    29,
    31,
    32,
    33,
    38,
    55,
    60,
    62,
    63,
    64
   ],
   [
    0,
    1,
    3,
    9,
    11,
    18,
    20,
    26,
    28,
    29,
    30,
    32,
    34,
    39,
    56,
    61,
    63,
    64,
    65
   ],
   [
    0,
    1,
    2,
    4,
    10,
    12,
    19,
    21,
    27,
    29,
    30,
    31,
    33,
    35,
    40,
    57,
    62,
    64,
    65
   ],
   [
    1,
    2,
    3,
    5,
    11,
    13,
    20,
    22,
    28,
    30,
    31,
    32,
    33,
    34,
    36,
    41,
    58,
    63,
    65
   ],
   [
    0,
    2,
    3,
    4,
    6,
    12,
    14,
    21,
    23,
    29,
    31,
    32,
    33,
    34,
    35,
    37,
    42,
    59,
    64
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    2,
    11,
    21,
    38,
    43,
    44,
    56
   ]
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    4,
    9,
    10,
    22,
    34,
    43,
    53
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Cyclic bicycle over F_2[Z_33], from arXiv:2608.09115v1 Table II/III",
  "origin": "submission",
  "date": "2026-08-20",
  "model": "Solar Pro 4 (Upstage AI)"
 },
 "family": "generalized-bicycle",
 "locality": {
  "coordinates": [
   [
    1.0,
    6.0
   ],
   [
    1.0,
    3.0
   ],
   [
    4.0,
    5.0
   ],
   [
    0.0,
    2.0
   ],
   [
    0.0,
    4.0
   ],
   [
    1.0,
    3.0
   ],
   [
    2.0,
    2.0
   ],
   [
    1.0,
    4.0
   ],
   [
    2.0,
    5.0
   ],
   [
    1.0,
    2.0
   ],
   [
    3.0,
    2.0
   ],
   [
    2.0,
    1.0
   ],
   [
    0.0,
    3.0
   ],
   [
    4.0,
    2.0
   ],
   [
    1.0,
    4.0
   ],
   [
    0.0,
    0.0
   ],
   [
    3.0,
    0.0
   ],
   [
    0.0,
    0.0
   ],
   [
    4.0,
    1.0
   ],
   [
    1.0,
    0.0
   ],
   [
    4.0,
    3.0
   ],
   [
    3.0,
    5.0
   ],
   [
    3.0,
    2.0
   ],
   [
    0.0,
    4.0
   ],
   [
    3.0,
    1.0
   ],
   [
    3.0,
    0.0
   ],
   [
    4.0,
    5.0
   ],
   [
    0.0,
    5.0
   ],
   [
    2.0,
    6.0
   ],
   [
    3.0,
    4.0
   ],
   [
    1.0,
    5.0
   ],
   [
    1.0,
    6.0
   ],
   [
    2.0,
    1.0
   ],
   [
    4.0,
    1.0
   ],
   [
    4.0,
    3.0
   ],
   [
    3.0,
    6.0
   ],
   [
    1.0,
    1.0
   ],
   [
    2.0,
    6.0
   ],
   [
    3.0,
    4.0
   ],
   [
    4.0,
    2.0
   ],
   [
    0.0,
    5.0
   ],
   [
    2.0,
    2.0
   ],
   [
    3.0,
    3.0
   ],
   [
    0.0,
    3.0
   ],
   [
    1.0,
    2.0
   ],
   [
    3.0,
    1.0
   ],
   [
    1.0,
    1.0
   ],
   [
    2.0,
    3.0
   ],
   [
    2.0,
    3.0
   ],
   [
    4.0,
    0.0
   ],
   [
    4.0,
    4.0
   ],
   [
    2.0,
    4.0
   ],
   [
    1.0,
    0.0
   ],
   [
    3.0,
    5.0
   ],
   [
    1.0,
    5.0
   ],
   [
    3.0,
    3.0
   ],
   [
    2.0,
    0.0
   ],
   [
    0.0,
    2.0
   ],
   [
    3.0,
    6.0
   ],
   [
    4.0,
    4.0
   ],
   [
    0.0,
    1.0
   ],
   [
    2.0,
    5.0
   ],
   [
    2.0,
    4.0
   ],
   [
    2.0,
    0.0
   ],
   [
    0.0,
    1.0
   ],
   [
    4.0,
    0.0
   ]
  ],
  "layers": 2,
  "interaction_radius": 6.7083,
  "contributed_by": {
   "by": [
    "@dorakingx"
   ],
   "date": "2026-10-02",
   "method": "Simulated annealing over site assignments on an integer grid with the repo's own research/local2d/fold_layout.search_layout (max-diameter objective, several bounding boxes and seeds); single layer at radius 4 tried first, then two layers at 7. Radius and per-site occupancy re-measured with the verifier's rule."
  }
 }
}
