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 "provenance": {
  "authors": [
   "@vprusso"
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  "construction": "Cyclic generalized bicycle at m=233, with ord_2(m)=29, so x^233 - 1 factors over GF(2) into 9 cyclotomic cosets, 1 of size 1, 8 of size 29. The divisor g is assembled from coset minimal polynomials to degree 29, which fixes k = 2 deg g = 58 by construction, and (a,b) was drawn from the ideal (g) by information-set decoding over sparse supports, keeping weight 7 and weight 7 in the two blocks. At least one weight is odd, so x+1 does not divide the gcd. m is prime, so the quotient fold has no proper divisor to act on; an orbit fold over every equal-orbit partition of the qubits returns nothing lighter than 176. H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T] on n = 2m = 466 qubits at uniform row weight 14, with a = [7, 20, 86, 139, 153, 195, 198] and b = [19, 87, 98, 148, 166, 187, 196].",
  "references": [],
  "date": "2026-10-16",
  "notes": "",
  "model": "Claude Opus 5"
 },
 "family": "generalized-bicycle"
}