{
 "schema_version": "0.4",
 "name": "[[11,5,3]]",
 "code_type": "stabilizer",
 "n": 11,
 "k": 5,
 "checks": {
  "S": [
   {
    "X": [
     0,
     2,
     4,
     5,
     6,
     7,
     8
    ],
    "Z": [
     2,
     5,
     8,
     9
    ]
   },
   {
    "X": [
     2,
     5,
     8,
     9
    ],
    "Z": [
     0,
     4,
     6,
     7,
     9
    ]
   },
   {
    "X": [
     1,
     2,
     5,
     6
    ],
    "Z": [
     5,
     6,
     7,
     8,
     9,
     10
    ]
   },
   {
    "X": [
     5,
     6,
     7,
     8,
     9,
     10
    ],
    "Z": [
     1,
     2,
     7,
     8,
     9,
     10
    ]
   },
   {
    "X": [
     3,
     4,
     7,
     8,
     9,
     10
    ],
    "Z": [
     5,
     6,
     7,
     8,
     9,
     10
    ]
   },
   {
    "X": [
     5,
     6,
     7,
     8,
     9,
     10
    ],
    "Z": [
     3,
     4,
     5,
     6
    ]
   }
  ]
 },
 "distance": {
  "d": 3,
  "P": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": {
    "X": [
     3,
     9
    ],
    "Z": [
     3,
     5
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Grassl additive-table quantum code; quantum code over GF(2^2) as tabulated at codetables.de: stored stabilizer matrix for cell [[11,5]] (table bounds 3-3, https://codetables.de/QECC.php?q=4&n=11&k=5) read as binary symplectic rows [x | z]; rank(A|B) < rank(A) + rank(B), so the group has no pure-X/pure-Z basis and the entry is typed stabilizer; generators reduced here to the lightest independent subset ordered by Pauli weight, k = n - rank S, n/k/check weight recomputed from those rows; distance.P witness from this submission's own search.",
  "origin": "submission",
  "date": "2026-09-28",
  "model": "MiMo v2.6 Flash",
  "notes": "Not equivalent to any entry on the board: validate_candidate fingerprint and WL-signature dedup came back clean on 2026-09-27 against main@fc36aafe, and no committed entry is typed stabilizer to share the cell."
 }
}