{
 "schema_version": "0.4",
 "name": "[[8,2,3]]",
 "code_type": "stabilizer",
 "n": 8,
 "k": 2,
 "checks": {
  "S": [
   {
    "X": [
     5,
     7
    ],
    "Z": [
     0,
     5,
     6,
     7
    ]
   },
   {
    "X": [
     4,
     6
    ],
    "Z": [
     3,
     7
    ]
   },
   {
    "X": [
     3,
     4
    ],
    "Z": [
     0,
     1,
     3,
     4
    ]
   },
   {
    "X": [
     2,
     5
    ],
    "Z": [
     1,
     7
    ]
   },
   {
    "X": [
     1
    ],
    "Z": [
     2,
     4,
     6
    ]
   },
   {
    "X": [
     0
    ],
    "Z": [
     2,
     3,
     5
    ]
   }
  ]
 },
 "distance": {
  "d": 3,
  "P": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": {
    "X": [
     2
    ],
    "Z": [
     0,
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Cross, Andrew",
   "Vandeth, Drew"
  ],
  "origin": "baseline",
  "date": "2026-10-09",
  "model": "Claude Opus 5.5 (Claude Code)",
  "construction": "[[8,2,3]] weight-4 stabilizer code from Cross and Vandeth, 'Small Binary Stabilizer Subsystem Codes' (arXiv:2501.17447), as listed in Wei, Han, He, Li and Liu, 'Theory of low-weight quantum codes' (arXiv:2601.19848), Table 1. Generators as transcribed from that table.",
  "references": [
   "arXiv:2501.17447",
   "arXiv:2601.19848"
  ],
  "novelty": "known_parameters",
  "notes": "Literature entry: the code is Cross and Vandeth's. Entered, with a one-layer 2D layout, by @MicheldeMessieres; the layout is credited in locality.contributed_by."
 },
 "family": "other",
 "locality": {
  "coordinates": [
   [
    0.0,
    2.0
   ],
   [
    1.0,
    2.0
   ],
   [
    0.0,
    1.0
   ],
   [
    2.0,
    1.0
   ],
   [
    2.0,
    2.0
   ],
   [
    0.0,
    0.0
   ],
   [
    1.0,
    1.0
   ],
   [
    1.0,
    0.0
   ]
  ],
  "layers": 1,
  "interaction_radius": 2.2362,
  "contributed_by": {
   "by": [
    "@MicheldeMessieres"
   ],
   "date": "2026-10-09",
   "method": "Simulated annealing over distinct integer-grid sites (one qubit per site) minimising the largest check diameter. Search driven by Claude Opus 5.5 (Claude Code)."
  }
 }
}
