{
 "schema_version": "0.4",
 "name": "[[155,6,21]] cyclic mirror stabilizer code",
 "code_type": "stabilizer",
 "n": 155,
 "k": 6,
 "checks": {
  "S": [
   {
    "X": [
     0,
     11,
     25,
     40
    ],
    "Z": [
     0,
     29,
     74,
     135
    ]
   },
   {
    "X": [
     1,
     12,
     26,
     41
    ],
    "Z": [
     28,
     73,
     134,
     154
    ]
   },
   {
    "X": [
     2,
     13,
     27,
     42
    ],
    "Z": [
     27,
     72,
     133,
     153
    ]
   },
   {
    "X": [
     3,
     14,
     28,
     43
    ],
    "Z": [
     26,
     71,
     132,
     152
    ]
   },
   {
    "X": [
     4,
     15,
     29,
     44
    ],
    "Z": [
     25,
     70,
     131,
     151
    ]
   },
   {
    "X": [
     5,
     16,
     30,
     45
    ],
    "Z": [
     24,
     69,
     130,
     150
    ]
   },
   {
    "X": [
     6,
     17,
     31,
     46
    ],
    "Z": [
     23,
     68,
     129,
     149
    ]
   },
   {
    "X": [
     7,
     18,
     32,
     47
    ],
    "Z": [
     22,
     67,
     128,
     148
    ]
   },
   {
    "X": [
     8,
     19,
     33,
     48
    ],
    "Z": [
     21,
     66,
     127,
     147
    ]
   },
   {
    "X": [
     9,
     20,
     34,
     49
    ],
    "Z": [
     20,
     65,
     126,
     146
    ]
   },
   {
    "X": [
     10,
     21,
     35,
     50
    ],
    "Z": [
     19,
     64,
     125,
     145
    ]
   },
   {
    "X": [
     11,
     22,
     36,
     51
    ],
    "Z": [
     18,
     63,
     124,
     144
    ]
   },
   {
    "X": [
     12,
     23,
     37,
     52
    ],
    "Z": [
     17,
     62,
     123,
     143
    ]
   },
   {
    "X": [
     13,
     24,
     38,
     53
    ],
    "Z": [
     16,
     61,
     122,
     142
    ]
   },
   {
    "X": [
     14,
     25,
     39,
     54
    ],
    "Z": [
     15,
     60,
     121,
     141
    ]
   },
   {
    "X": [
     15,
     26,
     40,
     55
    ],
    "Z": [
     14,
     59,
     120,
     140
    ]
   },
   {
    "X": [
     16,
     27,
     41,
     56
    ],
    "Z": [
     13,
     58,
     119,
     139
    ]
   },
   {
    "X": [
     17,
     28,
     42,
     57
    ],
    "Z": [
     12,
     57,
     118,
     138
    ]
   },
   {
    "X": [
     18,
     29,
     43,
     58
    ],
    "Z": [
     11,
     56,
     117,
     137
    ]
   },
   {
    "X": [
     19,
     30,
     44,
     59
    ],
    "Z": [
     10,
     55,
     116,
     136
    ]
   },
   {
    "X": [
     20,
     31,
     45,
     60
    ],
    "Z": [
     9,
     54,
     115,
     135
    ]
   },
   {
    "X": [
     21,
     32,
     46,
     61
    ],
    "Z": [
     8,
     53,
     114,
     134
    ]
   },
   {
    "X": [
     22,
     33,
     47,
     62
    ],
    "Z": [
     7,
     52,
     113,
     133
    ]
   },
   {
    "X": [
     23,
     34,
     48,
     63
    ],
    "Z": [
     6,
     51,
     112,
     132
    ]
   },
   {
    "X": [
     24,
     35,
     49,
     64
    ],
    "Z": [
     5,
     50,
     111,
     131
    ]
   },
   {
    "X": [
     25,
     36,
     50,
     65
    ],
    "Z": [
     4,
     49,
     110,
     130
    ]
   },
   {
    "X": [
     26,
     37,
     51,
     66
    ],
    "Z": [
     3,
     48,
     109,
     129
    ]
   },
   {
    "X": [
     27,
     38,
     52,
     67
    ],
    "Z": [
     2,
     47,
     108,
     128
    ]
   },
   {
    "X": [
     28,
     39,
     53,
     68
    ],
    "Z": [
     1,
     46,
     107,
     127
    ]
   },
   {
    "X": [
     29,
     40,
     54,
     69
    ],
    "Z": [
     0,
     45,
     106,
     126
    ]
   },
   {
    "X": [
     30,
     41,
     55,
     70
    ],
    "Z": [
     44,
     105,
     125,
     154
    ]
   },
   {
    "X": [
     31,
     42,
     56,
     71
    ],
    "Z": [
     43,
     104,
     124,
     153
    ]
   },
   {
    "X": [
     32,
     43,
     57,
     72
    ],
    "Z": [
     42,
     103,
     123,
     152
    ]
   },
   {
    "X": [
     33,
     44,
     58,
     73
    ],
    "Z": [
     41,
     102,
     122,
     151
    ]
   },
   {
    "X": [
     34,
     45,
     59,
     74
    ],
    "Z": [
     40,
     101,
     121,
     150
    ]
   },
   {
    "X": [
     35,
     46,
     60,
     75
    ],
    "Z": [
     39,
     100,
     120,
     149
    ]
   },
   {
    "X": [
     36,
     47,
     61,
     76
    ],
    "Z": [
     38,
     99,
     119,
     148
    ]
   },
   {
    "X": [
     37,
     48,
     62,
     77
    ],
    "Z": [
     37,
     98,
     118,
     147
    ]
   },
   {
    "X": [
     38,
     49,
     63,
     78
    ],
    "Z": [
     36,
     97,
     117,
     146
    ]
   },
   {
    "X": [
     39,
     50,
     64,
     79
    ],
    "Z": [
     35,
     96,
     116,
     145
    ]
   },
   {
    "X": [
     40,
     51,
     65,
     80
    ],
    "Z": [
     34,
     95,
     115,
     144
    ]
   },
   {
    "X": [
     41,
     52,
     66,
     81
    ],
    "Z": [
     33,
     94,
     114,
     143
    ]
   },
   {
    "X": [
     42,
     53,
     67,
     82
    ],
    "Z": [
     32,
     93,
     113,
     142
    ]
   },
   {
    "X": [
     43,
     54,
     68,
     83
    ],
    "Z": [
     31,
     92,
     112,
     141
    ]
   },
   {
    "X": [
     44,
     55,
     69,
     84
    ],
    "Z": [
     30,
     91,
     111,
     140
    ]
   },
   {
    "X": [
     45,
     56,
     70,
     85
    ],
    "Z": [
     29,
     90,
     110,
     139
    ]
   },
   {
    "X": [
     46,
     57,
     71,
     86
    ],
    "Z": [
     28,
     89,
     109,
     138
    ]
   },
   {
    "X": [
     47,
     58,
     72,
     87
    ],
    "Z": [
     27,
     88,
     108,
     137
    ]
   },
   {
    "X": [
     48,
     59,
     73,
     88
    ],
    "Z": [
     26,
     87,
     107,
     136
    ]
   },
   {
    "X": [
     49,
     60,
     74,
     89
    ],
    "Z": [
     25,
     86,
     106,
     135
    ]
   },
   {
    "X": [
     50,
     61,
     75,
     90
    ],
    "Z": [
     24,
     85,
     105,
     134
    ]
   },
   {
    "X": [
     51,
     62,
     76,
     91
    ],
    "Z": [
     23,
     84,
     104,
     133
    ]
   },
   {
    "X": [
     52,
     63,
     77,
     92
    ],
    "Z": [
     22,
     83,
     103,
     132
    ]
   },
   {
    "X": [
     53,
     64,
     78,
     93
    ],
    "Z": [
     21,
     82,
     102,
     131
    ]
   },
   {
    "X": [
     54,
     65,
     79,
     94
    ],
    "Z": [
     20,
     81,
     101,
     130
    ]
   },
   {
    "X": [
     55,
     66,
     80,
     95
    ],
    "Z": [
     19,
     80,
     100,
     129
    ]
   },
   {
    "X": [
     56,
     67,
     81,
     96
    ],
    "Z": [
     18,
     79,
     99,
     128
    ]
   },
   {
    "X": [
     57,
     68,
     82,
     97
    ],
    "Z": [
     17,
     78,
     98,
     127
    ]
   },
   {
    "X": [
     58,
     69,
     83,
     98
    ],
    "Z": [
     16,
     77,
     97,
     126
    ]
   },
   {
    "X": [
     59,
     70,
     84,
     99
    ],
    "Z": [
     15,
     76,
     96,
     125
    ]
   },
   {
    "X": [
     60,
     71,
     85,
     100
    ],
    "Z": [
     14,
     75,
     95,
     124
    ]
   },
   {
    "X": [
     61,
     72,
     86,
     101
    ],
    "Z": [
     13,
     74,
     94,
     123
    ]
   },
   {
    "X": [
     62,
     73,
     87,
     102
    ],
    "Z": [
     12,
     73,
     93,
     122
    ]
   },
   {
    "X": [
     63,
     74,
     88,
     103
    ],
    "Z": [
     11,
     72,
     92,
     121
    ]
   },
   {
    "X": [
     64,
     75,
     89,
     104
    ],
    "Z": [
     10,
     71,
     91,
     120
    ]
   },
   {
    "X": [
     65,
     76,
     90,
     105
    ],
    "Z": [
     9,
     70,
     90,
     119
    ]
   },
   {
    "X": [
     66,
     77,
     91,
     106
    ],
    "Z": [
     8,
     69,
     89,
     118
    ]
   },
   {
    "X": [
     67,
     78,
     92,
     107
    ],
    "Z": [
     7,
     68,
     88,
     117
    ]
   },
   {
    "X": [
     68,
     79,
     93,
     108
    ],
    "Z": [
     6,
     67,
     87,
     116
    ]
   },
   {
    "X": [
     69,
     80,
     94,
     109
    ],
    "Z": [
     5,
     66,
     86,
     115
    ]
   },
   {
    "X": [
     70,
     81,
     95,
     110
    ],
    "Z": [
     4,
     65,
     85,
     114
    ]
   },
   {
    "X": [
     71,
     82,
     96,
     111
    ],
    "Z": [
     3,
     64,
     84,
     113
    ]
   },
   {
    "X": [
     72,
     83,
     97,
     112
    ],
    "Z": [
     2,
     63,
     83,
     112
    ]
   },
   {
    "X": [
     73,
     84,
     98,
     113
    ],
    "Z": [
     1,
     62,
     82,
     111
    ]
   },
   {
    "X": [
     74,
     85,
     99,
     114
    ],
    "Z": [
     0,
     61,
     81,
     110
    ]
   },
   {
    "X": [
     75,
     86,
     100,
     115
    ],
    "Z": [
     60,
     80,
     109,
     154
    ]
   },
   {
    "X": [
     76,
     87,
     101,
     116
    ],
    "Z": [
     59,
     79,
     108,
     153
    ]
   },
   {
    "X": [
     77,
     88,
     102,
     117
    ],
    "Z": [
     58,
     78,
     107,
     152
    ]
   },
   {
    "X": [
     78,
     89,
     103,
     118
    ],
    "Z": [
     57,
     77,
     106,
     151
    ]
   },
   {
    "X": [
     79,
     90,
     104,
     119
    ],
    "Z": [
     56,
     76,
     105,
     150
    ]
   },
   {
    "X": [
     80,
     91,
     105,
     120
    ],
    "Z": [
     55,
     75,
     104,
     149
    ]
   },
   {
    "X": [
     81,
     92,
     106,
     121
    ],
    "Z": [
     54,
     74,
     103,
     148
    ]
   },
   {
    "X": [
     82,
     93,
     107,
     122
    ],
    "Z": [
     53,
     73,
     102,
     147
    ]
   },
   {
    "X": [
     83,
     94,
     108,
     123
    ],
    "Z": [
     52,
     72,
     101,
     146
    ]
   },
   {
    "X": [
     84,
     95,
     109,
     124
    ],
    "Z": [
     51,
     71,
     100,
     145
    ]
   },
   {
    "X": [
     85,
     96,
     110,
     125
    ],
    "Z": [
     50,
     70,
     99,
     144
    ]
   },
   {
    "X": [
     86,
     97,
     111,
     126
    ],
    "Z": [
     49,
     69,
     98,
     143
    ]
   },
   {
    "X": [
     87,
     98,
     112,
     127
    ],
    "Z": [
     48,
     68,
     97,
     142
    ]
   },
   {
    "X": [
     88,
     99,
     113,
     128
    ],
    "Z": [
     47,
     67,
     96,
     141
    ]
   },
   {
    "X": [
     89,
     100,
     114,
     129
    ],
    "Z": [
     46,
     66,
     95,
     140
    ]
   },
   {
    "X": [
     90,
     101,
     115,
     130
    ],
    "Z": [
     45,
     65,
     94,
     139
    ]
   },
   {
    "X": [
     91,
     102,
     116,
     131
    ],
    "Z": [
     44,
     64,
     93,
     138
    ]
   },
   {
    "X": [
     92,
     103,
     117,
     132
    ],
    "Z": [
     43,
     63,
     92,
     137
    ]
   },
   {
    "X": [
     93,
     104,
     118,
     133
    ],
    "Z": [
     42,
     62,
     91,
     136
    ]
   },
   {
    "X": [
     94,
     105,
     119,
     134
    ],
    "Z": [
     41,
     61,
     90,
     135
    ]
   },
   {
    "X": [
     95,
     106,
     120,
     135
    ],
    "Z": [
     40,
     60,
     89,
     134
    ]
   },
   {
    "X": [
     96,
     107,
     121,
     136
    ],
    "Z": [
     39,
     59,
     88,
     133
    ]
   },
   {
    "X": [
     97,
     108,
     122,
     137
    ],
    "Z": [
     38,
     58,
     87,
     132
    ]
   },
   {
    "X": [
     98,
     109,
     123,
     138
    ],
    "Z": [
     37,
     57,
     86,
     131
    ]
   },
   {
    "X": [
     99,
     110,
     124,
     139
    ],
    "Z": [
     36,
     56,
     85,
     130
    ]
   },
   {
    "X": [
     100,
     111,
     125,
     140
    ],
    "Z": [
     35,
     55,
     84,
     129
    ]
   },
   {
    "X": [
     101,
     112,
     126,
     141
    ],
    "Z": [
     34,
     54,
     83,
     128
    ]
   },
   {
    "X": [
     102,
     113,
     127,
     142
    ],
    "Z": [
     33,
     53,
     82,
     127
    ]
   },
   {
    "X": [
     103,
     114,
     128,
     143
    ],
    "Z": [
     32,
     52,
     81,
     126
    ]
   },
   {
    "X": [
     104,
     115,
     129,
     144
    ],
    "Z": [
     31,
     51,
     80,
     125
    ]
   },
   {
    "X": [
     105,
     116,
     130,
     145
    ],
    "Z": [
     30,
     50,
     79,
     124
    ]
   },
   {
    "X": [
     106,
     117,
     131,
     146
    ],
    "Z": [
     29,
     49,
     78,
     123
    ]
   },
   {
    "X": [
     107,
     118,
     132,
     147
    ],
    "Z": [
     28,
     48,
     77,
     122
    ]
   },
   {
    "X": [
     108,
     119,
     133,
     148
    ],
    "Z": [
     27,
     47,
     76,
     121
    ]
   },
   {
    "X": [
     109,
     120,
     134,
     149
    ],
    "Z": [
     26,
     46,
     75,
     120
    ]
   },
   {
    "X": [
     110,
     121,
     135,
     150
    ],
    "Z": [
     25,
     45,
     74,
     119
    ]
   },
   {
    "X": [
     111,
     122,
     136,
     151
    ],
    "Z": [
     24,
     44,
     73,
     118
    ]
   },
   {
    "X": [
     112,
     123,
     137,
     152
    ],
    "Z": [
     23,
     43,
     72,
     117
    ]
   },
   {
    "X": [
     113,
     124,
     138,
     153
    ],
    "Z": [
     22,
     42,
     71,
     116
    ]
   },
   {
    "X": [
     114,
     125,
     139,
     154
    ],
    "Z": [
     21,
     41,
     70,
     115
    ]
   },
   {
    "X": [
     0,
     115,
     126,
     140
    ],
    "Z": [
     20,
     40,
     69,
     114
    ]
   },
   {
    "X": [
     1,
     116,
     127,
     141
    ],
    "Z": [
     19,
     39,
     68,
     113
    ]
   },
   {
    "X": [
     2,
     117,
     128,
     142
    ],
    "Z": [
     18,
     38,
     67,
     112
    ]
   },
   {
    "X": [
     3,
     118,
     129,
     143
    ],
    "Z": [
     17,
     37,
     66,
     111
    ]
   },
   {
    "X": [
     4,
     119,
     130,
     144
    ],
    "Z": [
     16,
     36,
     65,
     110
    ]
   },
   {
    "X": [
     5,
     120,
     131,
     145
    ],
    "Z": [
     15,
     35,
     64,
     109
    ]
   },
   {
    "X": [
     6,
     121,
     132,
     146
    ],
    "Z": [
     14,
     34,
     63,
     108
    ]
   },
   {
    "X": [
     7,
     122,
     133,
     147
    ],
    "Z": [
     13,
     33,
     62,
     107
    ]
   },
   {
    "X": [
     8,
     123,
     134,
     148
    ],
    "Z": [
     12,
     32,
     61,
     106
    ]
   },
   {
    "X": [
     9,
     124,
     135,
     149
    ],
    "Z": [
     11,
     31,
     60,
     105
    ]
   },
   {
    "X": [
     10,
     125,
     136,
     150
    ],
    "Z": [
     10,
     30,
     59,
     104
    ]
   },
   {
    "X": [
     11,
     126,
     137,
     151
    ],
    "Z": [
     9,
     29,
     58,
     103
    ]
   },
   {
    "X": [
     12,
     127,
     138,
     152
    ],
    "Z": [
     8,
     28,
     57,
     102
    ]
   },
   {
    "X": [
     13,
     128,
     139,
     153
    ],
    "Z": [
     7,
     27,
     56,
     101
    ]
   },
   {
    "X": [
     14,
     129,
     140,
     154
    ],
    "Z": [
     6,
     26,
     55,
     100
    ]
   },
   {
    "X": [
     0,
     15,
     130,
     141
    ],
    "Z": [
     5,
     25,
     54,
     99
    ]
   },
   {
    "X": [
     1,
     16,
     131,
     142
    ],
    "Z": [
     4,
     24,
     53,
     98
    ]
   },
   {
    "X": [
     2,
     17,
     132,
     143
    ],
    "Z": [
     3,
     23,
     52,
     97
    ]
   },
   {
    "X": [
     3,
     18,
     133,
     144
    ],
    "Z": [
     2,
     22,
     51,
     96
    ]
   },
   {
    "X": [
     4,
     19,
     134,
     145
    ],
    "Z": [
     1,
     21,
     50,
     95
    ]
   },
   {
    "X": [
     5,
     20,
     135,
     146
    ],
    "Z": [
     0,
     20,
     49,
     94
    ]
   },
   {
    "X": [
     6,
     21,
     136,
     147
    ],
    "Z": [
     19,
     48,
     93,
     154
    ]
   },
   {
    "X": [
     7,
     22,
     137,
     148
    ],
    "Z": [
     18,
     47,
     92,
     153
    ]
   },
   {
    "X": [
     8,
     23,
     138,
     149
    ],
    "Z": [
     17,
     46,
     91,
     152
    ]
   },
   {
    "X": [
     9,
     24,
     139,
     150
    ],
    "Z": [
     16,
     45,
     90,
     151
    ]
   },
   {
    "X": [
     10,
     25,
     140,
     151
    ],
    "Z": [
     15,
     44,
     89,
     150
    ]
   },
   {
    "X": [
     11,
     26,
     141,
     152
    ],
    "Z": [
     14,
     43,
     88,
     149
    ]
   },
   {
    "X": [
     12,
     27,
     142,
     153
    ],
    "Z": [
     13,
     42,
     87,
     148
    ]
   },
   {
    "X": [
     13,
     28,
     143,
     154
    ],
    "Z": [
     12,
     41,
     86,
     147
    ]
   },
   {
    "X": [
     0,
     14,
     29,
     144
    ],
    "Z": [
     11,
     40,
     85,
     146
    ]
   },
   {
    "X": [
     1,
     15,
     30,
     145
    ],
    "Z": [
     10,
     39,
     84,
     145
    ]
   },
   {
    "X": [
     2,
     16,
     31,
     146
    ],
    "Z": [
     9,
     38,
     83,
     144
    ]
   },
   {
    "X": [
     3,
     17,
     32,
     147
    ],
    "Z": [
     8,
     37,
     82,
     143
    ]
   },
   {
    "X": [
     4,
     18,
     33,
     148
    ],
    "Z": [
     7,
     36,
     81,
     142
    ]
   },
   {
    "X": [
     5,
     19,
     34,
     149
    ],
    "Z": [
     6,
     35,
     80,
     141
    ]
   },
   {
    "X": [
     6,
     20,
     35,
     150
    ],
    "Z": [
     5,
     34,
     79,
     140
    ]
   },
   {
    "X": [
     7,
     21,
     36,
     151
    ],
    "Z": [
     4,
     33,
     78,
     139
    ]
   },
   {
    "X": [
     8,
     22,
     37,
     152
    ],
    "Z": [
     3,
     32,
     77,
     138
    ]
   },
   {
    "X": [
     9,
     23,
     38,
     153
    ],
    "Z": [
     2,
     31,
     76,
     137
    ]
   },
   {
    "X": [
     10,
     24,
     39,
     154
    ],
    "Z": [
     1,
     30,
     75,
     136
    ]
   }
  ]
 },
 "distance": {
  "d": 21,
  "P": {
   "value": 21,
   "confidence": "upper_bound",
   "witness": {
    "X": [
     13,
     23,
     31,
     38,
     51,
     77,
     97,
     101,
     112,
     130,
     133,
     139,
     153
    ],
    "Z": [
     22,
     31,
     36,
     45,
     78,
     93,
     101,
     107,
     108,
     112,
     124,
     133,
     153
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@mrvee-qC-bee"
  ],
  "construction": "Affine-inversion fold of a BB parent on Z_155 x Z_1: A=[(0, 0), (11, 0), (25, 0), (40, 0)], B=[(0, 0), (20, 0), (81, 0), (126, 0)], P_t(g)=t-g with t=(0, 0); S=(A|BP_t). Standard abelian mirror-code / symplectic-halving construction.",
  "origin": "submission",
  "date": "2026-10-01",
  "model": "GPT-6 Astra",
  "notes": "Standard abelian mirror construction from the cyclic generalized-bicycle parent codes/310-12-26.json contributed by @vprusso with Claude Fable 5.1. The fold and search were performed by GPT-6 Astra for @mrvee-qC-bee. Distance is the lowest retained Pauli witness, an upper bound rather than an exact certificate. Construction and literature novelty are not claimed.",
  "references": [
   "arXiv:1212.6703",
   "arXiv:2111.03654",
   "arXiv:2603.05496v1",
   "arXiv:2609.30069v1"
  ],
  "novelty": "unknown"
 },
 "family": "other"
}