{
 "schema_version": "0.1",
 "name": "[[50,6,3]] SAT-found punctured rotated surface code",
 "code_type": "CSS",
 "n": 50,
 "k": 6,
 "checks": {
  "X": [
   [
    0,
    3,
    4
   ],
   [
    1,
    5,
    6
   ],
   [
    2,
    3,
    9,
    10
   ],
   [
    4,
    5,
    11,
    12
   ],
   [
    6,
    7,
    13,
    14
   ],
   [
    8,
    9,
    16
   ],
   [
    10,
    11,
    17,
    18
   ],
   [
    12,
    13,
    19,
    20
   ],
   [
    14,
    15,
    21
   ],
   [
    16,
    17,
    22,
    23
   ],
   [
    20,
    21,
    26,
    27
   ],
   [
    23,
    24,
    29,
    30
   ],
   [
    25,
    26,
    31,
    32
   ],
   [
    28,
    29,
    35,
    36
   ],
   [
    30,
    31,
    37,
    38
   ],
   [
    32,
    33,
    39,
    40
   ],
   [
    34,
    35,
    42
   ],
   [
    36,
    37,
    43,
    44
   ],
   [
    38,
    39,
    45,
    46
   ],
   [
    40,
    41,
    47
   ],
   [
    42,
    43,
    48
   ],
   [
    46,
    47,
    49
   ]
  ],
  "Z": [
   [
    0,
    2,
    3
   ],
   [
    1,
    6,
    7
   ],
   [
    2,
    8,
    9
   ],
   [
    3,
    4,
    10,
    11
   ],
   [
    5,
    6,
    12,
    13
   ],
   [
    7,
    14,
    15
   ],
   [
    9,
    10,
    16,
    17
   ],
   [
    11,
    12,
    18,
    19
   ],
   [
    13,
    14,
    20,
    21
   ],
   [
    17,
    18,
    23,
    24
   ],
   [
    19,
    20,
    25,
    26
   ],
   [
    22,
    23,
    28,
    29
   ],
   [
    26,
    27,
    32,
    33
   ],
   [
    28,
    34,
    35
   ],
   [
    29,
    30,
    36,
    37
   ],
   [
    31,
    32,
    38,
    39
   ],
   [
    33,
    40,
    41
   ],
   [
    35,
    36,
    42,
    43
   ],
   [
    37,
    38,
    44,
    45
   ],
   [
    39,
    40,
    46,
    47
   ],
   [
    43,
    44,
    48
   ],
   [
    45,
    46,
    49
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    30,
    36,
    42
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    25,
    32,
    33
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "SAT search over punctured rotated surface code grammar: qubits on integer grid, weight<=4 plaquette checks (r=sqrt(2)), per-check boundary truncation variables; detection of all weight<=2 errors encoded in CNF, solved with CaDiCaL. Distance confirmed exact (d=3 both sides) via scipy MILP.",
  "origin": "submission",
  "date": "2026-08-26",
  "model": "ox-alpha 1.0",
  "notes": "SAT search over punctured rotated surface code grammar; see notes/50-6-3.md"
 },
 "family": "other",
 "locality": {
  "coordinates": [
   [
    0.0,
    2.0
   ],
   [
    0.0,
    5.0
   ],
   [
    1.0,
    1.0
   ],
   [
    1.0,
    2.0
   ],
   [
    1.0,
    3.0
   ],
   [
    1.0,
    4.0
   ],
   [
    1.0,
    5.0
   ],
   [
    1.0,
    6.0
   ],
   [
    2.0,
    0.0
   ],
   [
    2.0,
    1.0
   ],
   [
    2.0,
    2.0
   ],
   [
    2.0,
    3.0
   ],
   [
    2.0,
    4.0
   ],
   [
    2.0,
    5.0
   ],
   [
    2.0,
    6.0
   ],
   [
    2.0,
    7.0
   ],
   [
    3.0,
    1.0
   ],
   [
    3.0,
    2.0
   ],
   [
    3.0,
    3.0
   ],
   [
    3.0,
    4.0
   ],
   [
    3.0,
    5.0
   ],
   [
    3.0,
    6.0
   ],
   [
    4.0,
    1.0
   ],
   [
    4.0,
    2.0
   ],
   [
    4.0,
    3.0
   ],
   [
    4.0,
    4.0
   ],
   [
    4.0,
    5.0
   ],
   [
    4.0,
    6.0
   ],
   [
    5.0,
    1.0
   ],
   [
    5.0,
    2.0
   ],
   [
    5.0,
    3.0
   ],
   [
    5.0,
    4.0
   ],
   [
    5.0,
    5.0
   ],
   [
    5.0,
    6.0
   ],
   [
    6.0,
    0.0
   ],
   [
    6.0,
    1.0
   ],
   [
    6.0,
    2.0
   ],
   [
    6.0,
    3.0
   ],
   [
    6.0,
    4.0
   ],
   [
    6.0,
    5.0
   ],
   [
    6.0,
    6.0
   ],
   [
    6.0,
    7.0
   ],
   [
    7.0,
    1.0
   ],
   [
    7.0,
    2.0
   ],
   [
    7.0,
    3.0
   ],
   [
    7.0,
    4.0
   ],
   [
    7.0,
    5.0
   ],
   [
    7.0,
    6.0
   ],
   [
    8.0,
    2.0
   ],
   [
    8.0,
    5.0
   ]
  ],
  "layers": 1
 }
}