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526, 527, 545, 549, 551, 568, 572, 575, 585, 596, 599, 609, 620, 623 ] ] }, "distance": { "d": 6, "X": { "value": 6, "confidence": "upper_bound", "witness": [ 0, 144, 288, 432, 576, 600 ] }, "Z": { "value": 6, "confidence": "upper_bound", "witness": [ 0, 144, 288, 432, 576, 600 ] } }, "provenance": { "authors": [ "@hirobumii" ], "construction": "G=C24, product x+y modulo24. L_g[t,u]=1 iff u=g+t; R_h[t,u]=1 iff u=t+h. A is1x5 with support triples[[0, 1, 2], [0, 1, 8], [0, 2, 6], [0, 3, 7], [0, 3, 14]]; B is1x5 with support triples[[0, 1, 2], [0, 1, 8], [0, 2, 6], [0, 3, 7], [0, 3, 14]]; sum the corresponding left or right permutation matrices overF2. Twenty-five VV(k,j) blocks indexed5*k+j precede one CC block, eachsize24. X(j) places A(k) on VV(k,j) and B(j) on CC. Z(k) places B(j)^T on VV(k,j) and A(k)^T on CC. All120 original rows in each sector are independent and retained.", "references": [ "https://arxiv.org/abs/2111.03654", "https://arxiv.org/abs/2607.28795" ], "date": "2026-10-17", "notes": "Displayed presentation: maximum check weight 18, maximum qubit degree 30, 240 checks and total incidence 4320.", "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)" }, "family": "lifted-product" }