{
 "schema_version": "0.1",
 "name": "[[73,37,6]]",
 "code_type": "CSS",
 "n": 73,
 "k": 37,
 "checks": {
  "X": [
   [
    0,
    1,
    4,
    8,
    12,
    14,
    18,
    20,
    21,
    22,
    24,
    25,
    26,
    28,
    31,
    33,
    36,
    37,
    38,
    39,
    40,
    45,
    46,
    48,
    49,
    51,
    52,
    55
   ],
   [
    0,
    3,
    7,
    11,
    13,
    17,
    19,
    20,
    21,
    23,
    24,
    25,
    27,
    30,
    32,
    35,
    36,
    37,
    38,
    39,
    44,
    45,
    47,
    48,
    50,
    51,
    54,
    72
   ],
   [
    2,
    6,
    10,
    12,
    16,
    18,
    19,
    20,
    22,
    23,
    24,
    26,
    29,
    31,
    34,
    35,
    36,
    37,
    38,
    43,
    44,
    46,
    47,
    49,
    50,
    53,
    71,
    72
   ],
   [
    1,
    5,
    9,
    11,
    15,
    17,
    18,
    19,
    21,
    22,
    23,
    25,
    28,
    30,
    33,
    34,
    35,
    36,
    37,
    42,
    43,
    45,
    46,
    48,
    49,
    52,
    70,
    71
   ],
   [
    0,
    4,
    8,
    10,
    14,
    16,
    17,
    18,
    20,
    21,
    22,
    24,
    27,
    29,
    32,
    33,
    34,
    35,
    36,
    41,
    42,
    44,
    45,
    47,
    48,
    51,
    69,
    70
   ],
   [
    3,
    7,
    9,
    13,
    15,
    16,
    17,
    19,
    20,
    21,
    23,
    26,
    28,
    31,
    32,
    33,
    34,
    35,
    40,
    41,
    43,
    44,
    46,
    47,
    50,
    68,
    69,
    72
   ],
   [
    2,
    6,
    8,
    12,
    14,
    15,
    16,
    18,
    19,
    20,
    22,
    25,
    27,
    30,
    31,
    32,
    33,
    34,
    39,
    40,
    42,
    43,
    45,
    46,
    49,
    67,
    68,
    71
   ],
   [
    1,
    5,
    7,
    11,
    13,
    14,
    15,
    17,
    18,
    19,
    21,
    24,
    26,
    29,
    30,
    31,
    32,
    33,
    38,
    39,
    41,
    42,
    44,
    45,
    48,
    66,
    67,
    70
   ],
   [
    0,
    4,
    6,
    10,
    12,
    13,
    14,
    16,
    17,
    18,
    20,
    23,
    25,
    28,
    29,
    30,
    31,
    32,
    37,
    38,
    40,
    41,
    43,
    44,
    47,
    65,
    66,
    69
   ],
   [
    3,
    5,
    9,
    11,
    12,
    13,
    15,
    16,
    17,
    19,
    22,
    24,
    27,
    28,
    29,
    30,
    31,
    36,
    37,
    39,
    40,
    42,
    43,
    46,
    64,
    65,
    68,
    72
   ],
   [
    2,
    4,
    8,
    10,
    11,
    12,
    14,
    15,
    16,
    18,
    21,
    23,
    26,
    27,
    28,
    29,
    30,
    35,
    36,
    38,
    39,
    41,
    42,
    45,
    63,
    64,
    67,
    71
   ],
   [
    1,
    3,
    7,
    9,
    10,
    11,
    13,
    14,
    15,
    17,
    20,
    22,
    25,
    26,
    27,
    28,
    29,
    34,
    35,
    37,
    38,
    40,
    41,
    44,
    62,
    63,
    66,
    70
   ],
   [
    0,
    2,
    6,
    8,
    9,
    10,
    12,
    13,
    14,
    16,
    19,
    21,
    24,
    25,
    26,
    27,
    28,
    33,
    34,
    36,
    37,
    39,
    40,
    43,
    61,
    62,
    65,
    69
   ],
   [
    1,
    5,
    7,
    8,
    9,
    11,
    12,
    13,
    15,
    18,
    20,
    23,
    24,
    25,
    26,
    27,
    32,
    33,
    35,
    36,
    38,
    39,
    42,
    60,
    61,
    64,
    68,
    72
   ],
   [
    0,
    4,
    6,
    7,
    8,
    10,
    11,
    12,
    14,
    17,
    19,
    22,
    23,
    24,
    25,
    26,
    31,
    32,
    34,
    35,
    37,
    38,
    41,
    59,
    60,
    63,
    67,
    71
   ],
   [
    3,
    5,
    6,
    7,
    9,
    10,
    11,
    13,
    16,
    18,
    21,
    22,
    23,
    24,
    25,
    30,
    31,
    33,
    34,
    36,
    37,
    40,
    58,
    59,
    62,
    66,
    70,
    72
   ],
   [
    2,
    4,
    5,
    6,
    8,
    9,
    10,
    12,
    15,
    17,
    20,
    21,
    22,
    23,
    24,
    29,
    30,
    32,
    33,
    35,
    36,
    39,
    57,
    58,
    61,
    65,
    69,
    71
   ],
   [
    1,
    3,
    4,
    5,
    7,
    8,
    9,
    11,
    14,
    16,
    19,
    20,
    21,
    22,
    23,
    28,
    29,
    31,
    32,
    34,
    35,
    38,
    56,
    57,
    60,
    64,
    68,
    70
   ]
  ],
  "Z": [
   [
    0,
    1,
    4,
    8,
    12,
    14,
    18,
    20,
    21,
    22,
    24,
    25,
    26,
    28,
    31,
    33,
    36,
    37,
    38,
    39,
    40,
    45,
    46,
    48,
    49,
    51,
    52,
    55
   ],
   [
    0,
    3,
    7,
    11,
    13,
    17,
    19,
    20,
    21,
    23,
    24,
    25,
    27,
    30,
    32,
    35,
    36,
    37,
    38,
    39,
    44,
    45,
    47,
    48,
    50,
    51,
    54,
    72
   ],
   [
    2,
    6,
    10,
    12,
    16,
    18,
    19,
    20,
    22,
    23,
    24,
    26,
    29,
    31,
    34,
    35,
    36,
    37,
    38,
    43,
    44,
    46,
    47,
    49,
    50,
    53,
    71,
    72
   ],
   [
    1,
    5,
    9,
    11,
    15,
    17,
    18,
    19,
    21,
    22,
    23,
    25,
    28,
    30,
    33,
    34,
    35,
    36,
    37,
    42,
    43,
    45,
    46,
    48,
    49,
    52,
    70,
    71
   ],
   [
    0,
    4,
    8,
    10,
    14,
    16,
    17,
    18,
    20,
    21,
    22,
    24,
    27,
    29,
    32,
    33,
    34,
    35,
    36,
    41,
    42,
    44,
    45,
    47,
    48,
    51,
    69,
    70
   ],
   [
    3,
    7,
    9,
    13,
    15,
    16,
    17,
    19,
    20,
    21,
    23,
    26,
    28,
    31,
    32,
    33,
    34,
    35,
    40,
    41,
    43,
    44,
    46,
    47,
    50,
    68,
    69,
    72
   ],
   [
    2,
    6,
    8,
    12,
    14,
    15,
    16,
    18,
    19,
    20,
    22,
    25,
    27,
    30,
    31,
    32,
    33,
    34,
    39,
    40,
    42,
    43,
    45,
    46,
    49,
    67,
    68,
    71
   ],
   [
    1,
    5,
    7,
    11,
    13,
    14,
    15,
    17,
    18,
    19,
    21,
    24,
    26,
    29,
    30,
    31,
    32,
    33,
    38,
    39,
    41,
    42,
    44,
    45,
    48,
    66,
    67,
    70
   ],
   [
    0,
    4,
    6,
    10,
    12,
    13,
    14,
    16,
    17,
    18,
    20,
    23,
    25,
    28,
    29,
    30,
    31,
    32,
    37,
    38,
    40,
    41,
    43,
    44,
    47,
    65,
    66,
    69
   ],
   [
    3,
    5,
    9,
    11,
    12,
    13,
    15,
    16,
    17,
    19,
    22,
    24,
    27,
    28,
    29,
    30,
    31,
    36,
    37,
    39,
    40,
    42,
    43,
    46,
    64,
    65,
    68,
    72
   ],
   [
    2,
    4,
    8,
    10,
    11,
    12,
    14,
    15,
    16,
    18,
    21,
    23,
    26,
    27,
    28,
    29,
    30,
    35,
    36,
    38,
    39,
    41,
    42,
    45,
    63,
    64,
    67,
    71
   ],
   [
    1,
    3,
    7,
    9,
    10,
    11,
    13,
    14,
    15,
    17,
    20,
    22,
    25,
    26,
    27,
    28,
    29,
    34,
    35,
    37,
    38,
    40,
    41,
    44,
    62,
    63,
    66,
    70
   ],
   [
    0,
    2,
    6,
    8,
    9,
    10,
    12,
    13,
    14,
    16,
    19,
    21,
    24,
    25,
    26,
    27,
    28,
    33,
    34,
    36,
    37,
    39,
    40,
    43,
    61,
    62,
    65,
    69
   ],
   [
    1,
    5,
    7,
    8,
    9,
    11,
    12,
    13,
    15,
    18,
    20,
    23,
    24,
    25,
    26,
    27,
    32,
    33,
    35,
    36,
    38,
    39,
    42,
    60,
    61,
    64,
    68,
    72
   ],
   [
    0,
    4,
    6,
    7,
    8,
    10,
    11,
    12,
    14,
    17,
    19,
    22,
    23,
    24,
    25,
    26,
    31,
    32,
    34,
    35,
    37,
    38,
    41,
    59,
    60,
    63,
    67,
    71
   ],
   [
    3,
    5,
    6,
    7,
    9,
    10,
    11,
    13,
    16,
    18,
    21,
    22,
    23,
    24,
    25,
    30,
    31,
    33,
    34,
    36,
    37,
    40,
    58,
    59,
    62,
    66,
    70,
    72
   ],
   [
    2,
    4,
    5,
    6,
    8,
    9,
    10,
    12,
    15,
    17,
    20,
    21,
    22,
    23,
    24,
    29,
    30,
    32,
    33,
    35,
    36,
    39,
    57,
    58,
    61,
    65,
    69,
    71
   ],
   [
    1,
    3,
    4,
    5,
    7,
    8,
    9,
    11,
    14,
    16,
    19,
    20,
    21,
    22,
    23,
    28,
    29,
    31,
    32,
    34,
    35,
    38,
    56,
    57,
    60,
    64,
    68,
    70
   ]
  ]
 },
 "distance": {
  "d": 6,
  "X": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    18,
    23,
    27,
    38,
    50,
    65
   ]
  },
  "Z": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    18,
    23,
    27,
    38,
    50,
    65
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Reconstructed from qecdb.org record (see provenance.references); H-field X/Z row split, k recomputed, witnesses from the kit's random search.",
  "origin": "submission",
  "date": "2026-08-15",
  "model": "DeepSeek V4 Flash 0731"
 }
}