{
 "schema_version": "0.2",
 "name": "[[84,61,2]]",
 "code_type": "CSS",
 "n": 84,
 "k": 61,
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 "distance": {
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  "X": {
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   "confidence": "upper_bound",
   "witness": [
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  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
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 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Graft reduction (degree-1 qubit removal) of a 107-qubit CSS board entry, preserving k and d while reducing n.",
  "origin": "submission",
  "date": "2026-11-04",
  "model": "Beam 1.0"
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 "family": "other",
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 2,
    "confidence": "upper_bound",
    "witness": [
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   "X": {
    "value": 2,
    "confidence": "upper_bound",
    "witness": [
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  "rounds": 2,
  "stim_version": "1.16.0",
  "notes": "Johnson-coil + 4 span flags sequential extraction (max_flags=6 per check, 12 X + 12 Z edge-colored data CX layers per round, coloring candidate 0); generated by qldpc submit (research/circuit_autogen.py, seed 0), the first of up to 6 candidates whose RIS screen at 2 rounds found nothing below d; witnesses from RIS on ker(H_dem) at twice the gate's trial budget, validated in GF(2)",
  "contributed_by": {
   "by": [
    "@vprusso"
   ],
   "date": "2026-11-08",
   "method": "circuit_autogen schedule search (two-block interleaved, then layout, then generic), verified by verify/circuit_verify.py before writing"
  }
 }
}