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597, 602, 610, 617, 624, 626 ], [ 508, 509, 510, 511, 578, 584, 600, 606, 615, 617, 619 ] ] }, "distance": { "d": 32, "X": { "value": 32, "confidence": "upper_bound", "witness": [ 32, 33, 52, 53, 56, 57, 80, 81, 164, 165, 172, 173, 192, 193, 232, 233, 256, 257, 260, 261, 296, 297, 304, 305, 420, 421, 424, 425, 472, 473, 484, 485 ] }, "Z": { "value": 32, "confidence": "upper_bound", "witness": [ 16, 17, 20, 21, 44, 45, 96, 97, 104, 105, 108, 109, 128, 129, 160, 161, 304, 305, 328, 329, 348, 349, 372, 373, 416, 417, 440, 441, 444, 445, 480, 481 ] } }, "provenance": { "authors": [ "@MathysRennela" ], "construction": "Distance-amplified code: one [[4,2,2]] tensor-product amplification step (central three-term truncation of the chain-complex tensor product, arXiv:2609.37231 Eq. 1/Eq. 12-15) applied to the board's [[128,12,16]] 2BGA on C8xQ8 entry, using a sparse independent-row presentation of its checks: n' = 4n + m_X + m_Z = 628, k' = 2k = 24, check weight w' = w+1 = 17. X/Z witnesses are the base witnesses tensored with the weight-2 [[4,2,2]] logical on the central register (weights 32/32); a 100000-trial fast-backend search (seed 5000) found nothing lighter (min weight 32). Base provenance: 2BGA (arXiv:2306.16400) on GAP C8xQ8, weight-8 supports a=[4, 7, 14, 16, 21, 23, 36, 60] b=[9, 10, 18, 45, 48, 50, 58, 63]", "references": [ "arXiv:2609.37231", "arXiv:2306.16400" ], "date": "2026-09-30", "notes": "Constructed and packaged with the Space Bunny Alpha 1.0 model.", "model": "Space Bunny Alpha 1.0" }, "family": "distance-amplified" }