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"upper_bound", "witness": [ 34, 81, 170, 183, 217, 223 ] } }, "provenance": { "authors": [ "@mathysrennela" ], "construction": "Cornucopia code (Lu, Li & Deng, arXiv:2608.02773; block-convolutional CSS construction with the check matrices given in the Methods of arXiv:2610.19073): q=9, n=36q=324 data qubits in twelve 3x9 tiles L0..L5,R0..R5 plus nine 3x9 X-check and nine 3x9 Z-check tiles; HX=[A_(j-i)|B_(j-i)], HZ=[B^-1_(i-j)|A^-1_(i-j)] with the coordinate permutations A_p,B_p:(r,c)|->(rho(p,r),c+s[p]) on Z_3 x Z_9, row maps rho_A(0)=r+1, rho_A(1)=2r+2, rho_B(2)=r+1, rho_B(3)=2r+2 (identity otherwise), and column shifts sA=[5, 7, 5, 1, 5, 6], sB=[0, 3, 7, 1, 1, 1]. These shifts were found by a random shift search; the paper publishes instances only at q=7,16,25,29,49,64,79. Weight-12 checks, k=18q+4=166.", "origin": "submission", "date": "2026-10-15", "model": "MiMo-V2.6-Flash", "search_budget": { "candidates_screened": 1200, "ris_trials_per_side": 100000, "tool": "OpenCode agent, MiMo-V2.6-Flash", "notes": "uniform random shift search, 3-stage RIS ladder (100/4000/100000 trials), see research note" }, "references": [ "arXiv:2608.02773", "arXiv:2610.19073" ] }, "family": "other" }