{
 "schema_version": "0.2",
 "name": "repair 12-8-2-b",
 "code_type": "CSS",
 "n": 12,
 "k": 8,
 "checks": {
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    1,
    2,
    3,
    6,
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    8,
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    10,
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    0,
    1,
    2,
    3,
    6,
    7,
    8,
    9
   ],
   [
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    3,
    4,
    5,
    8,
    9,
    10,
    11
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  ]
 },
 "distance": {
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  "X": {
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   "confidence": "upper_bound",
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    8
   ],
   "witness_provenance": {
    "found_by": [
     "@MathysRennela"
    ],
    "date": "2026-10-19",
    "found_at_samples": 100,
    "survived_samples": 100,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
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    ]
   }
  },
  "Z": {
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   "witness_provenance": {
    "found_by": [
     "@MathysRennela"
    ],
    "date": "2026-10-19",
    "found_at_samples": 100,
    "survived_samples": 100,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
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    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "repair of codes/12-9-1.json by adding one X-check [4, 5, 10, 11]",
  "references": [],
  "date": "2026-10-19",
  "notes": "",
  "model": "Beam 1.0"
 }
}