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 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
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  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Affine-Frobenius quasi-dyadic CSS construction of arXiv:2609.24201 (Eq. 4): over F_{2^4} with N=16, exponent matrices P_X[u][j] = a_u*l_j + b_u and P_Z[v][j] = c_v*l_j^2 + d_v with a_u = c_v = alpha^u, b_u = d_v = 0, w_X = w_Z = 8, lifted with dyadic permutation matrices of size N. Girth >= 6 by their Theorem 1, CSS orthogonality by Theorem 2. New instance found by sweeping the family off the paper's parameter grid (71 configurations screened).",
  "origin": "submission",
  "date": "2026-09-22",
  "model": "GLM 5.3 Flash",
  "search_budget": {
   "candidates_screened": 71,
   "ris_trials_per_side": 500000,
   "wall_clock_hours": 1.0,
   "tool": "qd constructor + kit surrogate (gf2_fast) + verify gate",
   "notes": "One sweep of the affine-Frobenius family at ell=3,4 (71 configs, 50k-trial screen); deep ladders at 100k-500k trials x 3 seeds for finalists. Ladder budgets are per-side RIS trials with the gf2_fast accelerator."
  },
  "references": [
   "arXiv:2609.24201"
  ],
  "notes": "New instance of the arXiv:2609.24201 affine-Frobenius family (w_X = w_Z = 8), not one of the paper's four Table I instances. Checked against the board: not equivalent to any existing entry (the gate's dedup pass found no match)."
 },
 "family": "other"
}