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"novelty": "unknown", "origin": "submission", "date": "2026-10-14", "construction": "Cyclic generalized bicycle at m=331, a prime with ord_2(m)=30, so the nontrivial cyclotomic cosets of 2 all have size 30. The divisor g is one such coset's minimal polynomial, of degree 30, which fixes k = 2 deg g = 60 by construction. The pair (a,b) was then drawn from the ideal (g) by information-set decoding over sparse supports, keeping weights 9 and 11; both are odd, so x+1 does not divide the gcd and no weight-m block logical is forced. H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T] on n = 2m = 662 qubits at uniform row weight 20, with a = [122, 132, 140, 150, 173, 185, 230, 234, 271] and b = [0, 9, 22, 94, 104, 132, 136, 180, 201, 231, 305].", "notes": "Distance is an upper bound from the lighter of two witnesses, weight 94 on X and 94 on Z, both carried in this file. A 24-seed randomized information-set search at 2,000,000 trials per seed spread 94 to 100 with the minimum found by one seed. A single run of 8,000,000 trials, matching the verifier's own depth, reads 94. A search restricted to logicals supported inside one circulant block, which a general search is blind to, found nothing below 104. Folding onto the x^t-invariant subspaces leaves a lightest surviving logical of weight 242. The design point is deg g / m = 0.091." } }