{
 "schema_version": "0.4",
 "name": "[[143,23,7]]",
 "code_type": "stabilizer",
 "n": 143,
 "k": 23,
 "checks": {
  "S": [
   {
    "X": [
     54,
     67,
     76,
     89
    ],
    "Z": [
     29,
     62,
     81,
     114
    ]
   },
   {
    "X": [
     55,
     68,
     77,
     90
    ],
    "Z": [
     30,
     63,
     82,
     115
    ]
   },
   {
    "X": [
     56,
     69,
     78,
     91
    ],
    "Z": [
     31,
     64,
     83,
     116
    ]
   },
   {
    "X": [
     57,
     70,
     79,
     92
    ],
    "Z": [
     32,
     65,
     84,
     117
    ]
   },
   {
    "X": [
     58,
     71,
     80,
     93
    ],
    "Z": [
     33,
     66,
     85,
     118
    ]
   },
   {
    "X": [
     59,
     72,
     81,
     94
    ],
    "Z": [
     34,
     67,
     86,
     119
    ]
   },
   {
    "X": [
     60,
     73,
     82,
     95
    ],
    "Z": [
     35,
     68,
     87,
     120
    ]
   },
   {
    "X": [
     61,
     74,
     83,
     96
    ],
    "Z": [
     36,
     69,
     88,
     121
    ]
   },
   {
    "X": [
     62,
     75,
     84,
     97
    ],
    "Z": [
     37,
     70,
     89,
     122
    ]
   },
   {
    "X": [
     63,
     76,
     85,
     98
    ],
    "Z": [
     38,
     71,
     90,
     123
    ]
   },
   {
    "X": [
     64,
     77,
     86,
     99
    ],
    "Z": [
     39,
     72,
     91,
     124
    ]
   },
   {
    "X": [
     65,
     78,
     87,
     100
    ],
    "Z": [
     40,
     73,
     92,
     125
    ]
   },
   {
    "X": [
     66,
     79,
     88,
     101
    ],
    "Z": [
     41,
     74,
     93,
     126
    ]
   },
   {
    "X": [
     67,
     80,
     89,
     102
    ],
    "Z": [
     42,
     75,
     94,
     127
    ]
   },
   {
    "X": [
     68,
     81,
     90,
     103
    ],
    "Z": [
     43,
     76,
     95,
     128
    ]
   },
   {
    "X": [
     69,
     82,
     91,
     104
    ],
    "Z": [
     44,
     77,
     96,
     129
    ]
   },
   {
    "X": [
     70,
     83,
     92,
     105
    ],
    "Z": [
     45,
     78,
     97,
     130
    ]
   },
   {
    "X": [
     71,
     84,
     93,
     106
    ],
    "Z": [
     46,
     79,
     98,
     131
    ]
   },
   {
    "X": [
     72,
     85,
     94,
     107
    ],
    "Z": [
     47,
     80,
     99,
     132
    ]
   },
   {
    "X": [
     73,
     86,
     95,
     108
    ],
    "Z": [
     48,
     81,
     100,
     133
    ]
   },
   {
    "X": [
     74,
     87,
     96,
     109
    ],
    "Z": [
     49,
     82,
     101,
     134
    ]
   },
   {
    "X": [
     75,
     88,
     97,
     110
    ],
    "Z": [
     50,
     83,
     102,
     135
    ]
   },
   {
    "X": [
     76,
     89,
     98,
     111
    ],
    "Z": [
     51,
     84,
     103,
     136
    ]
   },
   {
    "X": [
     77,
     90,
     99,
     112
    ],
    "Z": [
     52,
     85,
     104,
     137
    ]
   },
   {
    "X": [
     78,
     91,
     100,
     113
    ],
    "Z": [
     53,
     86,
     105,
     138
    ]
   },
   {
    "X": [
     79,
     92,
     101,
     114
    ],
    "Z": [
     54,
     87,
     106,
     139
    ]
   },
   {
    "X": [
     80,
     93,
     102,
     115
    ],
    "Z": [
     55,
     88,
     107,
     140
    ]
   },
   {
    "X": [
     81,
     94,
     103,
     116
    ],
    "Z": [
     56,
     89,
     108,
     141
    ]
   },
   {
    "X": [
     82,
     95,
     104,
     117
    ],
    "Z": [
     57,
     90,
     109,
     142
    ]
   },
   {
    "X": [
     83,
     96,
     105,
     118
    ],
    "Z": [
     0,
     58,
     91,
     110
    ]
   },
   {
    "X": [
     84,
     97,
     106,
     119
    ],
    "Z": [
     1,
     59,
     92,
     111
    ]
   },
   {
    "X": [
     85,
     98,
     107,
     120
    ],
    "Z": [
     2,
     60,
     93,
     112
    ]
   },
   {
    "X": [
     86,
     99,
     108,
     121
    ],
    "Z": [
     3,
     61,
     94,
     113
    ]
   },
   {
    "X": [
     87,
     100,
     109,
     122
    ],
    "Z": [
     4,
     62,
     95,
     114
    ]
   },
   {
    "X": [
     88,
     101,
     110,
     123
    ],
    "Z": [
     5,
     63,
     96,
     115
    ]
   },
   {
    "X": [
     89,
     102,
     111,
     124
    ],
    "Z": [
     6,
     64,
     97,
     116
    ]
   },
   {
    "X": [
     90,
     103,
     112,
     125
    ],
    "Z": [
     7,
     65,
     98,
     117
    ]
   },
   {
    "X": [
     91,
     104,
     113,
     126
    ],
    "Z": [
     8,
     66,
     99,
     118
    ]
   },
   {
    "X": [
     92,
     105,
     114,
     127
    ],
    "Z": [
     9,
     67,
     100,
     119
    ]
   },
   {
    "X": [
     93,
     106,
     115,
     128
    ],
    "Z": [
     10,
     68,
     101,
     120
    ]
   },
   {
    "X": [
     94,
     107,
     116,
     129
    ],
    "Z": [
     11,
     69,
     102,
     121
    ]
   },
   {
    "X": [
     95,
     108,
     117,
     130
    ],
    "Z": [
     12,
     70,
     103,
     122
    ]
   },
   {
    "X": [
     96,
     109,
     118,
     131
    ],
    "Z": [
     13,
     71,
     104,
     123
    ]
   },
   {
    "X": [
     97,
     110,
     119,
     132
    ],
    "Z": [
     14,
     72,
     105,
     124
    ]
   },
   {
    "X": [
     98,
     111,
     120,
     133
    ],
    "Z": [
     15,
     73,
     106,
     125
    ]
   },
   {
    "X": [
     99,
     112,
     121,
     134
    ],
    "Z": [
     16,
     74,
     107,
     126
    ]
   },
   {
    "X": [
     100,
     113,
     122,
     135
    ],
    "Z": [
     17,
     75,
     108,
     127
    ]
   },
   {
    "X": [
     101,
     114,
     123,
     136
    ],
    "Z": [
     18,
     76,
     109,
     128
    ]
   },
   {
    "X": [
     102,
     115,
     124,
     137
    ],
    "Z": [
     19,
     77,
     110,
     129
    ]
   },
   {
    "X": [
     103,
     116,
     125,
     138
    ],
    "Z": [
     20,
     78,
     111,
     130
    ]
   },
   {
    "X": [
     104,
     117,
     126,
     139
    ],
    "Z": [
     21,
     79,
     112,
     131
    ]
   },
   {
    "X": [
     105,
     118,
     127,
     140
    ],
    "Z": [
     22,
     80,
     113,
     132
    ]
   },
   {
    "X": [
     106,
     119,
     128,
     141
    ],
    "Z": [
     23,
     81,
     114,
     133
    ]
   },
   {
    "X": [
     107,
     120,
     129,
     142
    ],
    "Z": [
     24,
     82,
     115,
     134
    ]
   },
   {
    "X": [
     0,
     108,
     121,
     130
    ],
    "Z": [
     25,
     83,
     116,
     135
    ]
   },
   {
    "X": [
     1,
     109,
     122,
     131
    ],
    "Z": [
     26,
     84,
     117,
     136
    ]
   },
   {
    "X": [
     2,
     110,
     123,
     132
    ],
    "Z": [
     27,
     85,
     118,
     137
    ]
   },
   {
    "X": [
     3,
     111,
     124,
     133
    ],
    "Z": [
     28,
     86,
     119,
     138
    ]
   },
   {
    "X": [
     4,
     112,
     125,
     134
    ],
    "Z": [
     29,
     87,
     120,
     139
    ]
   },
   {
    "X": [
     5,
     113,
     126,
     135
    ],
    "Z": [
     30,
     88,
     121,
     140
    ]
   },
   {
    "X": [
     6,
     114,
     127,
     136
    ],
    "Z": [
     31,
     89,
     122,
     141
    ]
   },
   {
    "X": [
     7,
     115,
     128,
     137
    ],
    "Z": [
     32,
     90,
     123,
     142
    ]
   },
   {
    "X": [
     8,
     116,
     129,
     138
    ],
    "Z": [
     0,
     33,
     91,
     124
    ]
   },
   {
    "X": [
     9,
     117,
     130,
     139
    ],
    "Z": [
     1,
     34,
     92,
     125
    ]
   },
   {
    "X": [
     10,
     118,
     131,
     140
    ],
    "Z": [
     2,
     35,
     93,
     126
    ]
   },
   {
    "X": [
     11,
     119,
     132,
     141
    ],
    "Z": [
     3,
     36,
     94,
     127
    ]
   },
   {
    "X": [
     12,
     120,
     133,
     142
    ],
    "Z": [
     4,
     37,
     95,
     128
    ]
   },
   {
    "X": [
     0,
     13,
     121,
     134
    ],
    "Z": [
     5,
     38,
     96,
     129
    ]
   },
   {
    "X": [
     1,
     14,
     122,
     135
    ],
    "Z": [
     6,
     39,
     97,
     130
    ]
   },
   {
    "X": [
     2,
     15,
     123,
     136
    ],
    "Z": [
     7,
     40,
     98,
     131
    ]
   },
   {
    "X": [
     3,
     16,
     124,
     137
    ],
    "Z": [
     8,
     41,
     99,
     132
    ]
   },
   {
    "X": [
     4,
     17,
     125,
     138
    ],
    "Z": [
     9,
     42,
     100,
     133
    ]
   },
   {
    "X": [
     5,
     18,
     126,
     139
    ],
    "Z": [
     10,
     43,
     101,
     134
    ]
   },
   {
    "X": [
     6,
     19,
     127,
     140
    ],
    "Z": [
     11,
     44,
     102,
     135
    ]
   },
   {
    "X": [
     7,
     20,
     128,
     141
    ],
    "Z": [
     12,
     45,
     103,
     136
    ]
   },
   {
    "X": [
     8,
     21,
     129,
     142
    ],
    "Z": [
     13,
     46,
     104,
     137
    ]
   },
   {
    "X": [
     0,
     9,
     22,
     130
    ],
    "Z": [
     14,
     47,
     105,
     138
    ]
   },
   {
    "X": [
     1,
     10,
     23,
     131
    ],
    "Z": [
     15,
     48,
     106,
     139
    ]
   },
   {
    "X": [
     2,
     11,
     24,
     132
    ],
    "Z": [
     16,
     49,
     107,
     140
    ]
   },
   {
    "X": [
     3,
     12,
     25,
     133
    ],
    "Z": [
     17,
     50,
     108,
     141
    ]
   },
   {
    "X": [
     4,
     13,
     26,
     134
    ],
    "Z": [
     18,
     51,
     109,
     142
    ]
   },
   {
    "X": [
     5,
     14,
     27,
     135
    ],
    "Z": [
     0,
     19,
     52,
     110
    ]
   },
   {
    "X": [
     6,
     15,
     28,
     136
    ],
    "Z": [
     1,
     20,
     53,
     111
    ]
   },
   {
    "X": [
     7,
     16,
     29,
     137
    ],
    "Z": [
     2,
     21,
     54,
     112
    ]
   },
   {
    "X": [
     8,
     17,
     30,
     138
    ],
    "Z": [
     3,
     22,
     55,
     113
    ]
   },
   {
    "X": [
     9,
     18,
     31,
     139
    ],
    "Z": [
     4,
     23,
     56,
     114
    ]
   },
   {
    "X": [
     10,
     19,
     32,
     140
    ],
    "Z": [
     5,
     24,
     57,
     115
    ]
   },
   {
    "X": [
     11,
     20,
     33,
     141
    ],
    "Z": [
     6,
     25,
     58,
     116
    ]
   },
   {
    "X": [
     12,
     21,
     34,
     142
    ],
    "Z": [
     7,
     26,
     59,
     117
    ]
   },
   {
    "X": [
     0,
     13,
     22,
     35
    ],
    "Z": [
     8,
     27,
     60,
     118
    ]
   },
   {
    "X": [
     1,
     14,
     23,
     36
    ],
    "Z": [
     9,
     28,
     61,
     119
    ]
   },
   {
    "X": [
     2,
     15,
     24,
     37
    ],
    "Z": [
     10,
     29,
     62,
     120
    ]
   },
   {
    "X": [
     3,
     16,
     25,
     38
    ],
    "Z": [
     11,
     30,
     63,
     121
    ]
   },
   {
    "X": [
     4,
     17,
     26,
     39
    ],
    "Z": [
     12,
     31,
     64,
     122
    ]
   },
   {
    "X": [
     5,
     18,
     27,
     40
    ],
    "Z": [
     13,
     32,
     65,
     123
    ]
   },
   {
    "X": [
     6,
     19,
     28,
     41
    ],
    "Z": [
     14,
     33,
     66,
     124
    ]
   },
   {
    "X": [
     7,
     20,
     29,
     42
    ],
    "Z": [
     15,
     34,
     67,
     125
    ]
   },
   {
    "X": [
     8,
     21,
     30,
     43
    ],
    "Z": [
     16,
     35,
     68,
     126
    ]
   },
   {
    "X": [
     9,
     22,
     31,
     44
    ],
    "Z": [
     17,
     36,
     69,
     127
    ]
   },
   {
    "X": [
     10,
     23,
     32,
     45
    ],
    "Z": [
     18,
     37,
     70,
     128
    ]
   },
   {
    "X": [
     11,
     24,
     33,
     46
    ],
    "Z": [
     19,
     38,
     71,
     129
    ]
   },
   {
    "X": [
     12,
     25,
     34,
     47
    ],
    "Z": [
     20,
     39,
     72,
     130
    ]
   },
   {
    "X": [
     13,
     26,
     35,
     48
    ],
    "Z": [
     21,
     40,
     73,
     131
    ]
   },
   {
    "X": [
     14,
     27,
     36,
     49
    ],
    "Z": [
     22,
     41,
     74,
     132
    ]
   },
   {
    "X": [
     15,
     28,
     37,
     50
    ],
    "Z": [
     23,
     42,
     75,
     133
    ]
   },
   {
    "X": [
     16,
     29,
     38,
     51
    ],
    "Z": [
     24,
     43,
     76,
     134
    ]
   },
   {
    "X": [
     17,
     30,
     39,
     52
    ],
    "Z": [
     25,
     44,
     77,
     135
    ]
   },
   {
    "X": [
     18,
     31,
     40,
     53
    ],
    "Z": [
     26,
     45,
     78,
     136
    ]
   },
   {
    "X": [
     19,
     32,
     41,
     54
    ],
    "Z": [
     27,
     46,
     79,
     137
    ]
   },
   {
    "X": [
     20,
     33,
     42,
     55
    ],
    "Z": [
     28,
     47,
     80,
     138
    ]
   },
   {
    "X": [
     21,
     34,
     43,
     56
    ],
    "Z": [
     29,
     48,
     81,
     139
    ]
   },
   {
    "X": [
     22,
     35,
     44,
     57
    ],
    "Z": [
     30,
     49,
     82,
     140
    ]
   },
   {
    "X": [
     23,
     36,
     45,
     58
    ],
    "Z": [
     31,
     50,
     83,
     141
    ]
   },
   {
    "X": [
     24,
     37,
     46,
     59
    ],
    "Z": [
     32,
     51,
     84,
     142
    ]
   },
   {
    "X": [
     25,
     38,
     47,
     60
    ],
    "Z": [
     0,
     33,
     52,
     85
    ]
   },
   {
    "X": [
     26,
     39,
     48,
     61
    ],
    "Z": [
     1,
     34,
     53,
     86
    ]
   },
   {
    "X": [
     27,
     40,
     49,
     62
    ],
    "Z": [
     2,
     35,
     54,
     87
    ]
   },
   {
    "X": [
     28,
     41,
     50,
     63
    ],
    "Z": [
     3,
     36,
     55,
     88
    ]
   },
   {
    "X": [
     29,
     42,
     51,
     64
    ],
    "Z": [
     4,
     37,
     56,
     89
    ]
   },
   {
    "X": [
     30,
     43,
     52,
     65
    ],
    "Z": [
     5,
     38,
     57,
     90
    ]
   },
   {
    "X": [
     31,
     44,
     53,
     66
    ],
    "Z": [
     6,
     39,
     58,
     91
    ]
   },
   {
    "X": [
     32,
     45,
     54,
     67
    ],
    "Z": [
     7,
     40,
     59,
     92
    ]
   },
   {
    "X": [
     33,
     46,
     55,
     68
    ],
    "Z": [
     8,
     41,
     60,
     93
    ]
   },
   {
    "X": [
     34,
     47,
     56,
     69
    ],
    "Z": [
     9,
     42,
     61,
     94
    ]
   },
   {
    "X": [
     35,
     48,
     57,
     70
    ],
    "Z": [
     10,
     43,
     62,
     95
    ]
   },
   {
    "X": [
     36,
     49,
     58,
     71
    ],
    "Z": [
     11,
     44,
     63,
     96
    ]
   },
   {
    "X": [
     37,
     50,
     59,
     72
    ],
    "Z": [
     12,
     45,
     64,
     97
    ]
   },
   {
    "X": [
     38,
     51,
     60,
     73
    ],
    "Z": [
     13,
     46,
     65,
     98
    ]
   },
   {
    "X": [
     39,
     52,
     61,
     74
    ],
    "Z": [
     14,
     47,
     66,
     99
    ]
   },
   {
    "X": [
     40,
     53,
     62,
     75
    ],
    "Z": [
     15,
     48,
     67,
     100
    ]
   },
   {
    "X": [
     41,
     54,
     63,
     76
    ],
    "Z": [
     16,
     49,
     68,
     101
    ]
   },
   {
    "X": [
     42,
     55,
     64,
     77
    ],
    "Z": [
     17,
     50,
     69,
     102
    ]
   },
   {
    "X": [
     43,
     56,
     65,
     78
    ],
    "Z": [
     18,
     51,
     70,
     103
    ]
   },
   {
    "X": [
     44,
     57,
     66,
     79
    ],
    "Z": [
     19,
     52,
     71,
     104
    ]
   },
   {
    "X": [
     45,
     58,
     67,
     80
    ],
    "Z": [
     20,
     53,
     72,
     105
    ]
   },
   {
    "X": [
     46,
     59,
     68,
     81
    ],
    "Z": [
     21,
     54,
     73,
     106
    ]
   },
   {
    "X": [
     47,
     60,
     69,
     82
    ],
    "Z": [
     22,
     55,
     74,
     107
    ]
   },
   {
    "X": [
     48,
     61,
     70,
     83
    ],
    "Z": [
     23,
     56,
     75,
     108
    ]
   },
   {
    "X": [
     49,
     62,
     71,
     84
    ],
    "Z": [
     24,
     57,
     76,
     109
    ]
   },
   {
    "X": [
     50,
     63,
     72,
     85
    ],
    "Z": [
     25,
     58,
     77,
     110
    ]
   },
   {
    "X": [
     51,
     64,
     73,
     86
    ],
    "Z": [
     26,
     59,
     78,
     111
    ]
   },
   {
    "X": [
     52,
     65,
     74,
     87
    ],
    "Z": [
     27,
     60,
     79,
     112
    ]
   },
   {
    "X": [
     53,
     66,
     75,
     88
    ],
    "Z": [
     28,
     61,
     80,
     113
    ]
   }
  ]
 },
 "distance": {
  "d": 7,
  "P": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": {
    "X": [
     30,
     82,
     134
    ],
    "Z": [
     38,
     60,
     82,
     104,
     126
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "One-block cyclic stabilizer code: generator X^a Z^b and its 143 cyclic shifts, a(x) = x^54 + x^67 + x^76 + x^89, b(x) = x^29 + x^62 + x^81 + x^114 in F_2[x]/(x^143 - 1); a = g p, b = g q with p, q palindromic so that a b* + b a* = 0; k = deg gcd(a, b, x^143 - 1)",
  "origin": "submission",
  "date": "2026-09-30",
  "model": "Claude Fable 5.1",
  "notes": "Found by a sweep of one-block palindromic cyclic codes (Camara-Ollivier-Tillich-type group-algebra code over Z_143, arXiv:quant-ph/0502086), n = 17..200, weight <= 8. Distance ladder: 300-trial Pauli-weight RIS screen, then 2 x 20,000 trials on fresh seeds (held). Novelty unknown: not checked against codetables.de; the dedup gate found no exact, WL-equivalent or Hadamard-image board entry. Genuinely non-CSS: a and b overlap, so every generator carries Y.",
  "references": [
   "arXiv:quant-ph/0502086"
  ],
  "novelty": "unknown"
 },
 "family": "other"
}