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"provenance": { "authors": [ "@vprusso" ], "model": "Claude Opus 5", "novelty": "unknown", "origin": "submission", "date": "2026-10-14", "construction": "Cyclic generalized bicycle at m=241, a prime with ord_2(m)=24, so the nontrivial cyclotomic cosets of 2 all have size 24. The divisor g is one such coset's minimal polynomial, of degree 49, which fixes k = 2 deg g = 98 by construction. The pair (a,b) was then drawn from the ideal (g) by information-set decoding over sparse supports, keeping weights 12 and 12; 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 = 482 qubits at uniform row weight 24, with a = [1, 29, 48, 67, 79, 102, 110, 134, 178, 203, 224, 238] and b = [15, 21, 31, 60, 128, 157, 167, 173, 191, 214, 215, 238].", "notes": "Distance is an upper bound from the lighter of two witnesses, weight 51 on X and 54 on Z, both carried in this file. A 24-seed randomized information-set search at 2,000,000 trials per seed spread 51 to 56 with the minimum found by one seed. A single run of 8,000,000 trials, matching the verifier's own depth, reads 55. A search restricted to logicals supported inside one circulant block, which a general search is blind to, found nothing below 57. Folding onto the x^t-invariant subspaces leaves a lightest surviving logical of weight 114. The design point is deg g / m = 0.203." } }