{
 "schema_version": "0.1",
 "name": "[[80,26,7]] 2BGA-derived hyperplane subgroup w10 D8 I540",
 "code_type": "CSS",
 "n": 80,
 "k": 26,
 "checks": {
  "X": [
   [
    0,
    14,
    18,
    24,
    39,
    41,
    51,
    61,
    64,
    72
   ],
   [
    7,
    8,
    22,
    26,
    32,
    40,
    49,
    59,
    69,
    72
   ],
   [
    5,
    10,
    21,
    27,
    39,
    45,
    53,
    60,
    70,
    72
   ],
   [
    6,
    10,
    16,
    31,
    32,
    43,
    53,
    56,
    64,
    73
   ],
   [
    1,
    15,
    19,
    25,
    38,
    40,
    50,
    60,
    65,
    73
   ],
   [
    4,
    11,
    20,
    26,
    38,
    44,
    52,
    61,
    71,
    73
   ],
   [
    3,
    9,
    22,
    25,
    39,
    44,
    49,
    57,
    64,
    74
   ],
   [
    2,
    8,
    23,
    24,
    38,
    45,
    48,
    56,
    65,
    75
   ],
   [
    3,
    13,
    17,
    27,
    36,
    42,
    48,
    62,
    67,
    75
   ],
   [
    4,
    11,
    21,
    25,
    35,
    43,
    50,
    56,
    70,
    75
   ],
   [
    3,
    12,
    18,
    30,
    36,
    44,
    53,
    63,
    65,
    76
   ],
   [
    4,
    10,
    22,
    28,
    35,
    45,
    55,
    57,
    68,
    76
   ],
   [
    3,
    15,
    21,
    26,
    37,
    46,
    48,
    61,
    69,
    76
   ],
   [
    5,
    15,
    16,
    31,
    33,
    42,
    55,
    63,
    70,
    76
   ],
   [
    0,
    15,
    16,
    30,
    34,
    40,
    48,
    57,
    67,
    77
   ],
   [
    2,
    14,
    20,
    27,
    36,
    47,
    49,
    60,
    68,
    77
   ],
   [
    5,
    11,
    23,
    29,
    34,
    44,
    54,
    56,
    69,
    77
   ],
   [
    3,
    12,
    19,
    29,
    33,
    43,
    51,
    58,
    64,
    78
   ],
   [
    1,
    14,
    16,
    28,
    38,
    46,
    55,
    61,
    67,
    78
   ],
   [
    7,
    13,
    18,
    29,
    35,
    40,
    53,
    61,
    68,
    78
   ],
   [
    6,
    8,
    20,
    30,
    33,
    47,
    53,
    59,
    70,
    78
   ],
   [
    1,
    13,
    23,
    24,
    39,
    44,
    50,
    63,
    71,
    78
   ],
   [
    2,
    13,
    18,
    28,
    32,
    42,
    50,
    59,
    65,
    79
   ],
   [
    0,
    15,
    17,
    29,
    39,
    47,
    54,
    60,
    66,
    79
   ],
   [
    6,
    12,
    19,
    28,
    34,
    41,
    52,
    60,
    69,
    79
   ],
   [
    0,
    12,
    22,
    25,
    38,
    45,
    51,
    62,
    70,
    79
   ],
   [
    7,
    9,
    21,
    31,
    32,
    46,
    52,
    58,
    71,
    79
   ]
  ],
  "Z": [
   [
    7,
    14,
    22,
    27,
    37,
    46,
    49,
    62,
    68,
    72
   ],
   [
    5,
    11,
    17,
    24,
    32,
    42,
    54,
    56,
    71,
    72
   ],
   [
    7,
    10,
    20,
    30,
    39,
    47,
    53,
    57,
    71,
    72
   ],
   [
    0,
    10,
    19,
    27,
    38,
    45,
    51,
    60,
    67,
    73
   ],
   [
    6,
    15,
    23,
    26,
    36,
    47,
    48,
    63,
    69,
    73
   ],
   [
    6,
    11,
    21,
    31,
    38,
    46,
    52,
    56,
    70,
    73
   ],
   [
    4,
    10,
    16,
    25,
    33,
    43,
    55,
    57,
    70,
    73
   ],
   [
    1,
    9,
    20,
    26,
    32,
    46,
    49,
    59,
    71,
    73
   ],
   [
    3,
    9,
    16,
    24,
    37,
    46,
    48,
    63,
    64,
    74
   ],
   [
    2,
    10,
    23,
    25,
    35,
    45,
    50,
    56,
    68,
    74
   ],
   [
    7,
    9,
    19,
    26,
    34,
    40,
    52,
    58,
    69,
    74
   ],
   [
    4,
    9,
    23,
    29,
    36,
    44,
    54,
    58,
    68,
    75
   ],
   [
    6,
    8,
    18,
    27,
    35,
    41,
    53,
    59,
    68,
    75
   ],
   [
    3,
    11,
    22,
    24,
    34,
    44,
    51,
    57,
    69,
    75
   ],
   [
    4,
    13,
    21,
    24,
    38,
    45,
    50,
    61,
    71,
    75
   ],
   [
    3,
    14,
    16,
    26,
    35,
    43,
    49,
    61,
    67,
    76
   ],
   [
    5,
    15,
    22,
    30,
    35,
    40,
    54,
    57,
    70,
    76
   ],
   [
    2,
    11,
    19,
    30,
    32,
    43,
    52,
    59,
    65,
    77
   ],
   [
    2,
    15,
    17,
    27,
    34,
    42,
    48,
    60,
    66,
    77
   ],
   [
    5,
    13,
    16,
    30,
    36,
    42,
    53,
    63,
    67,
    77
   ],
   [
    4,
    14,
    23,
    31,
    34,
    41,
    55,
    56,
    71,
    77
   ],
   [
    6,
    14,
    19,
    29,
    39,
    41,
    54,
    60,
    64,
    78
   ],
   [
    1,
    12,
    18,
    24,
    33,
    41,
    51,
    63,
    65,
    78
   ],
   [
    7,
    13,
    20,
    28,
    33,
    42,
    52,
    59,
    68,
    78
   ],
   [
    0,
    13,
    19,
    25,
    32,
    40,
    50,
    62,
    64,
    79
   ],
   [
    2,
    12,
    22,
    31,
    39,
    45,
    49,
    63,
    64,
    79
   ],
   [
    0,
    9,
    17,
    28,
    34,
    41,
    54,
    57,
    67,
    79
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    0,
    1,
    3,
    37,
    49,
    51,
    79
   ]
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    0,
    6,
    12,
    30,
    64,
    66,
    74
   ]
  }
 },
 "provenance": {
  "authors": [
   "@hirobumii"
  ],
  "construction": "Rank-one-per-sector stabilizer subgroup of the public @FarLab 2BGA code [[80,24,8]] on ab(5,2,2,2). Parent exact Git blob43dae9d893a9f2b5c37480d6df4dbc2e10ac423f, JSON SHA256a35525e02f719c21c60a548078777d280286010cd0ef5f5eb5fae93db27653a6, at https://github.com/unitaryfoundation/qldpc-challenge/blob/15e58eea2bba862eb49a8a162fa801f81d027f5a/codes/80-24-8.json. Select these zero-indexed rows directly from its literal checks: X=[24, 32, 5, 16, 25, 4, 9, 8, 27, 35, 36, 28, 21, 15, 0, 20, 29, 3, 38, 13, 30, 23, 2, 39, 12, 22, 31];Z=[22, 32, 7, 27, 23, 6, 33, 9, 24, 10, 34, 4, 35, 11, 21, 3, 30, 19, 2, 13, 31, 14, 1, 28, 0, 39, 17]. The resulting ranks are27+27 and actual(n,k,d,w,D,M,I)=[80, 26, 7, 10, 8, 54, 540]. No entangling transformation or inherited distance assumption is used.",
  "references": [
   "https://github.com/unitaryfoundation/qldpc-challenge/blob/15e58eea2bba862eb49a8a162fa801f81d027f5a/codes/80-24-8.json"
  ],
  "date": "2026-10-17",
  "notes": "Displayed presentation: maximum check weight 10, maximum qubit degree 8, 54 checks and total incidence 540.",
  "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)"
 }
}
