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"@vaibhav-baj" ], "construction": "Cyclic generalized-bicycle code at prime length 337: H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T], with a={9,23,56,65,66,102,136,157,201,258,275,282,325,326} (weight 14) and b={24,38,70,89,115,147,182,235,244,270,282,288} (weight 12), random sparse multiples of a degree-43 divisor (x+1 times two degree-21 factors of x^337-1) found by Prange search in the ideal, with no multiplier relation between a and b and no rotation subgroup (prime length), so the verifier's orbit-fold search finds no symmetry (0 partitions). k=86, check weight 26. Structural single-block cap 109; RIS ladder 2k->2M gave 93 (the submitted witness); fresh-seed deep run and the submit tool's own pass found nothing lighter.", "origin": "submission", "date": "2026-10-10", "model": "Claude Fable 5.1 (Claude Code)", "search_budget": { "candidates_screened": 2, "ris_trials_per_side": 1000000, "cpu_hours": 12.0, "tool": "prime-length divisor-ideal sampler + gf2_fast accelerator" } }, "family": "generalized-bicycle" }