{
 "schema_version": "0.4",
 "name": "[[46,2,11]]",
 "code_type": "stabilizer",
 "n": 46,
 "k": 2,
 "checks": {
  "S": [
   {
    "X": [
     21,
     22,
     24,
     25
    ],
    "Z": [
     10,
     17,
     29,
     36
    ]
   },
   {
    "X": [
     22,
     23,
     25,
     26
    ],
    "Z": [
     11,
     18,
     30,
     37
    ]
   },
   {
    "X": [
     23,
     24,
     26,
     27
    ],
    "Z": [
     12,
     19,
     31,
     38
    ]
   },
   {
    "X": [
     24,
     25,
     27,
     28
    ],
    "Z": [
     13,
     20,
     32,
     39
    ]
   },
   {
    "X": [
     25,
     26,
     28,
     29
    ],
    "Z": [
     14,
     21,
     33,
     40
    ]
   },
   {
    "X": [
     26,
     27,
     29,
     30
    ],
    "Z": [
     15,
     22,
     34,
     41
    ]
   },
   {
    "X": [
     27,
     28,
     30,
     31
    ],
    "Z": [
     16,
     23,
     35,
     42
    ]
   },
   {
    "X": [
     28,
     29,
     31,
     32
    ],
    "Z": [
     17,
     24,
     36,
     43
    ]
   },
   {
    "X": [
     29,
     30,
     32,
     33
    ],
    "Z": [
     18,
     25,
     37,
     44
    ]
   },
   {
    "X": [
     30,
     31,
     33,
     34
    ],
    "Z": [
     19,
     26,
     38,
     45
    ]
   },
   {
    "X": [
     31,
     32,
     34,
     35
    ],
    "Z": [
     0,
     20,
     27,
     39
    ]
   },
   {
    "X": [
     32,
     33,
     35,
     36
    ],
    "Z": [
     1,
     21,
     28,
     40
    ]
   },
   {
    "X": [
     33,
     34,
     36,
     37
    ],
    "Z": [
     2,
     22,
     29,
     41
    ]
   },
   {
    "X": [
     34,
     35,
     37,
     38
    ],
    "Z": [
     3,
     23,
     30,
     42
    ]
   },
   {
    "X": [
     35,
     36,
     38,
     39
    ],
    "Z": [
     4,
     24,
     31,
     43
    ]
   },
   {
    "X": [
     36,
     37,
     39,
     40
    ],
    "Z": [
     5,
     25,
     32,
     44
    ]
   },
   {
    "X": [
     37,
     38,
     40,
     41
    ],
    "Z": [
     6,
     26,
     33,
     45
    ]
   },
   {
    "X": [
     38,
     39,
     41,
     42
    ],
    "Z": [
     0,
     7,
     27,
     34
    ]
   },
   {
    "X": [
     39,
     40,
     42,
     43
    ],
    "Z": [
     1,
     8,
     28,
     35
    ]
   },
   {
    "X": [
     40,
     41,
     43,
     44
    ],
    "Z": [
     2,
     9,
     29,
     36
    ]
   },
   {
    "X": [
     41,
     42,
     44,
     45
    ],
    "Z": [
     3,
     10,
     30,
     37
    ]
   },
   {
    "X": [
     0,
     42,
     43,
     45
    ],
    "Z": [
     4,
     11,
     31,
     38
    ]
   },
   {
    "X": [
     0,
     1,
     43,
     44
    ],
    "Z": [
     5,
     12,
     32,
     39
    ]
   },
   {
    "X": [
     1,
     2,
     44,
     45
    ],
    "Z": [
     6,
     13,
     33,
     40
    ]
   },
   {
    "X": [
     0,
     2,
     3,
     45
    ],
    "Z": [
     7,
     14,
     34,
     41
    ]
   },
   {
    "X": [
     0,
     1,
     3,
     4
    ],
    "Z": [
     8,
     15,
     35,
     42
    ]
   },
   {
    "X": [
     1,
     2,
     4,
     5
    ],
    "Z": [
     9,
     16,
     36,
     43
    ]
   },
   {
    "X": [
     2,
     3,
     5,
     6
    ],
    "Z": [
     10,
     17,
     37,
     44
    ]
   },
   {
    "X": [
     3,
     4,
     6,
     7
    ],
    "Z": [
     11,
     18,
     38,
     45
    ]
   },
   {
    "X": [
     4,
     5,
     7,
     8
    ],
    "Z": [
     0,
     12,
     19,
     39
    ]
   },
   {
    "X": [
     5,
     6,
     8,
     9
    ],
    "Z": [
     1,
     13,
     20,
     40
    ]
   },
   {
    "X": [
     6,
     7,
     9,
     10
    ],
    "Z": [
     2,
     14,
     21,
     41
    ]
   },
   {
    "X": [
     7,
     8,
     10,
     11
    ],
    "Z": [
     3,
     15,
     22,
     42
    ]
   },
   {
    "X": [
     8,
     9,
     11,
     12
    ],
    "Z": [
     4,
     16,
     23,
     43
    ]
   },
   {
    "X": [
     9,
     10,
     12,
     13
    ],
    "Z": [
     5,
     17,
     24,
     44
    ]
   },
   {
    "X": [
     10,
     11,
     13,
     14
    ],
    "Z": [
     6,
     18,
     25,
     45
    ]
   },
   {
    "X": [
     11,
     12,
     14,
     15
    ],
    "Z": [
     0,
     7,
     19,
     26
    ]
   },
   {
    "X": [
     12,
     13,
     15,
     16
    ],
    "Z": [
     1,
     8,
     20,
     27
    ]
   },
   {
    "X": [
     13,
     14,
     16,
     17
    ],
    "Z": [
     2,
     9,
     21,
     28
    ]
   },
   {
    "X": [
     14,
     15,
     17,
     18
    ],
    "Z": [
     3,
     10,
     22,
     29
    ]
   },
   {
    "X": [
     15,
     16,
     18,
     19
    ],
    "Z": [
     4,
     11,
     23,
     30
    ]
   },
   {
    "X": [
     16,
     17,
     19,
     20
    ],
    "Z": [
     5,
     12,
     24,
     31
    ]
   },
   {
    "X": [
     17,
     18,
     20,
     21
    ],
    "Z": [
     6,
     13,
     25,
     32
    ]
   },
   {
    "X": [
     18,
     19,
     21,
     22
    ],
    "Z": [
     7,
     14,
     26,
     33
    ]
   },
   {
    "X": [
     19,
     20,
     22,
     23
    ],
    "Z": [
     8,
     15,
     27,
     34
    ]
   },
   {
    "X": [
     20,
     21,
     23,
     24
    ],
    "Z": [
     9,
     16,
     28,
     35
    ]
   }
  ]
 },
 "distance": {
  "d": 11,
  "P": {
   "value": 11,
   "confidence": "upper_bound",
   "witness": {
    "X": [
     8,
     16,
     27,
     35,
     43
    ],
    "Z": [
     32,
     33,
     34,
     35,
     36,
     37,
     38
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "One-block cyclic stabilizer code: generator X^a Z^b and its 46 cyclic shifts, a(x) = x^21 + x^22 + x^24 + x^25, b(x) = x^10 + x^17 + x^29 + x^36 in F_2[x]/(x^46 - 1); a = g p, b = g q with p, q palindromic so that a b* + b a* = 0; k = deg gcd(a, b, x^46 - 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_46, 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"
}
