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 "distance": {
  "d": 22,
  "X": {
   "value": 22,
   "confidence": "upper_bound",
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  "Z": {
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   "confidence": "upper_bound",
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 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Quadricycle code (rank-4 generalized bicycle on the abelian torus G = Z_2 x Z_5 x Z_7 x Z_4): H_X = [A | B], H_Z = [B^T | A^T] with A = x2^2 x3^4 x4^3 + x1 x2^3 x3 x4^3 and B = x1 x3^3 x4 + x3^2 x4^2, monomials of the four independent cyclic shifts over F_2; check weight 4. Found by uniform random sampling of weight-2+2 monomial sets (1,200 candidates, dims in [2,11] with prod <= 350) screened with a staged RIS funnel (300 -> 3,000 -> 20,000 trials, gf2_fast) and confirmed with a 1M-sample adversarial ladder. Generalizes the bivariate bicycles (arXiv:2308.07915) and the trivariate codes (arXiv:2406.19151) to four independent shifts.",
  "origin": "submission",
  "date": "2026-09-20",
  "model": "GLM 5.3 Flash (Zed agent)",
  "notes": "Checked against the current board by the validation gate: verifies, not refuted, and no exact or WL-equivalent duplicate of any existing entry; not known to be equivalent to any existing entry under a code symmetry.",
  "search_budget": {
   "candidates_screened": 1800,
   "wall_clock_hours": 0.9
  }
 },
 "family": "generalized-bicycle"
}
