{
 "schema_version": "0.1",
 "name": "[[35,31,1]]",
 "code_type": "CSS",
 "n": 35,
 "k": 29,
 "checks": {
  "X": [
   [
    0,
    1,
    2,
    6,
    7,
    8,
    9,
    10,
    12,
    13,
    16,
    26,
    27,
    28,
    29,
    30,
    32,
    33,
    34
   ],
   [
    3,
    4,
    5,
    9,
    11,
    14,
    15,
    17,
    18,
    19,
    20,
    21,
    22,
    23,
    24,
    25,
    31
   ]
  ],
  "Z": [
   [
    0,
    1,
    4,
    9,
    11,
    12,
    13,
    15,
    17,
    28,
    29,
    30,
    31,
    33,
    34
   ],
   [
    0,
    1,
    3,
    8,
    9,
    11,
    12,
    13,
    14,
    18,
    20,
    21,
    22,
    23,
    24,
    27,
    32,
    33,
    34
   ],
   [
    0,
    3,
    5,
    6,
    8,
    13,
    16,
    19,
    23,
    24,
    25,
    26,
    28,
    29,
    33,
    34
   ],
   [
    0,
    2,
    7,
    10
   ]
  ]
 },
 "distance": {
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    1,
    9
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    0,
    1
   ]
  },
  "d": 2
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "C-ADD-CHECK strict improvement (code calculus v0.2rc): added 2 checks killing every minimum-weight logical of parent codes/35-31-1.json",
  "origin": "submission",
  "date": "2026-11-12",
  "model": "Beam 1.0",
  "notes": "Generated by the priced construction calculus. Distance is reported only with witness-backed upper bounds; lower interval bounds are kept in the separate local ledger.",
  "references": [
   "arXiv:2504.08887"
  ],
  "novelty": "unknown"
 },
 "family": "other"
}