{
  "scope": "Synthetic mathematical constructions and evaluated formulas; no hardware measurements.",
  "description": "Executed balanced-subspace constructions at q=24 and B=3; r=q-p. Left: shared balanced optimum r^2/(qB) versus coordinate-storage r/B. Right: action-announced balanced optimum r/(qB). Panels use different vertical scales.",
  "source_files": [
    "results/codesign_results.json"
  ],
  "data": [
    {
      "q": 24,
      "p": 0,
      "r": 24,
      "B": 3.0,
      "shared_optimum": 8.0,
      "announced_optimum": 0.3333333333333333,
      "coordinate_storage_shared": 8.0,
      "shared_constructed": 8.000000000000005,
      "max_random_dual": 7.159160671676621
    },
    {
      "q": 24,
      "p": 1,
      "r": 23,
      "B": 3.0,
      "shared_optimum": 7.347222222222222,
      "announced_optimum": 0.3194444444444444,
      "coordinate_storage_shared": 7.666666666666667,
      "shared_constructed": 7.347222222222226,
      "max_random_dual": 6.720676579495675
    },
    {
      "q": 24,
      "p": 2,
      "r": 22,
      "B": 3.0,
      "shared_optimum": 6.722222222222222,
      "announced_optimum": 0.3055555555555556,
      "coordinate_storage_shared": 7.333333333333333,
      "shared_constructed": 6.7222222222222285,
      "max_random_dual": 5.81070246713189
    },
    {
      "q": 24,
      "p": 3,
      "r": 21,
      "B": 3.0,
      "shared_optimum": 6.125,
      "announced_optimum": 0.2916666666666667,
      "coordinate_storage_shared": 7.0,
      "shared_constructed": 6.125000000000001,
      "max_random_dual": 5.474667483933943
    },
    {
      "q": 24,
      "p": 4,
      "r": 20,
      "B": 3.0,
      "shared_optimum": 5.555555555555555,
      "announced_optimum": 0.2777777777777778,
      "coordinate_storage_shared": 6.666666666666667,
      "shared_constructed": 5.555555555555561,
      "max_random_dual": 5.0532374179191
    },
    {
      "q": 24,
      "p": 5,
      "r": 19,
      "B": 3.0,
      "shared_optimum": 5.013888888888889,
      "announced_optimum": 0.2638888888888889,
      "coordinate_storage_shared": 6.333333333333333,
      "shared_constructed": 5.013888888888894,
      "max_random_dual": 4.364476669709382
    },
    {
      "q": 24,
      "p": 6,
      "r": 18,
      "B": 3.0,
      "shared_optimum": 4.5,
      "announced_optimum": 0.25,
      "coordinate_storage_shared": 6.0,
      "shared_constructed": 4.500000000000007,
      "max_random_dual": 4.191484932306445
    },
    {
      "q": 24,
      "p": 7,
      "r": 17,
      "B": 3.0,
      "shared_optimum": 4.013888888888889,
      "announced_optimum": 0.2361111111111111,
      "coordinate_storage_shared": 5.666666666666667,
      "shared_constructed": 4.013888888888892,
      "max_random_dual": 3.53487096601044
    },
    {
      "q": 24,
      "p": 8,
      "r": 16,
      "B": 3.0,
      "shared_optimum": 3.5555555555555554,
      "announced_optimum": 0.2222222222222222,
      "coordinate_storage_shared": 5.333333333333333,
      "shared_constructed": 3.555555555555556,
      "max_random_dual": 3.293600072329871
    },
    {
      "q": 24,
      "p": 9,
      "r": 15,
      "B": 3.0,
      "shared_optimum": 3.125,
      "announced_optimum": 0.20833333333333334,
      "coordinate_storage_shared": 5.0,
      "shared_constructed": 3.125000000000004,
      "max_random_dual": 2.910021544013448
    },
    {
      "q": 24,
      "p": 10,
      "r": 14,
      "B": 3.0,
      "shared_optimum": 2.7222222222222223,
      "announced_optimum": 0.19444444444444445,
      "coordinate_storage_shared": 4.666666666666667,
      "shared_constructed": 2.7222222222222237,
      "max_random_dual": 2.4652930668534863
    },
    {
      "q": 24,
      "p": 11,
      "r": 13,
      "B": 3.0,
      "shared_optimum": 2.3472222222222223,
      "announced_optimum": 0.18055555555555555,
      "coordinate_storage_shared": 4.333333333333333,
      "shared_constructed": 2.3472222222222254,
      "max_random_dual": 2.1472904051815727
    },
    {
      "q": 24,
      "p": 12,
      "r": 12,
      "B": 3.0,
      "shared_optimum": 2.0,
      "announced_optimum": 0.16666666666666666,
      "coordinate_storage_shared": 4.0,
      "shared_constructed": 2.0000000000000018,
      "max_random_dual": 1.8715684306992886
    },
    {
      "q": 24,
      "p": 13,
      "r": 11,
      "B": 3.0,
      "shared_optimum": 1.6805555555555556,
      "announced_optimum": 0.1527777777777778,
      "coordinate_storage_shared": 3.6666666666666665,
      "shared_constructed": 1.680555555555558,
      "max_random_dual": 1.5754788091103649
    },
    {
      "q": 24,
      "p": 14,
      "r": 10,
      "B": 3.0,
      "shared_optimum": 1.3888888888888888,
      "announced_optimum": 0.1388888888888889,
      "coordinate_storage_shared": 3.3333333333333335,
      "shared_constructed": 1.388888888888891,
      "max_random_dual": 1.3234360995817396
    },
    {
      "q": 24,
      "p": 15,
      "r": 9,
      "B": 3.0,
      "shared_optimum": 1.125,
      "announced_optimum": 0.125,
      "coordinate_storage_shared": 3.0,
      "shared_constructed": 1.125000000000001,
      "max_random_dual": 1.042247907154108
    },
    {
      "q": 24,
      "p": 16,
      "r": 8,
      "B": 3.0,
      "shared_optimum": 0.8888888888888888,
      "announced_optimum": 0.1111111111111111,
      "coordinate_storage_shared": 2.6666666666666665,
      "shared_constructed": 0.8888888888888901,
      "max_random_dual": 0.8641503410536449
    },
    {
      "q": 24,
      "p": 17,
      "r": 7,
      "B": 3.0,
      "shared_optimum": 0.6805555555555556,
      "announced_optimum": 0.09722222222222222,
      "coordinate_storage_shared": 2.3333333333333335,
      "shared_constructed": 0.6805555555555559,
      "max_random_dual": 0.6680607074539093
    },
    {
      "q": 24,
      "p": 18,
      "r": 6,
      "B": 3.0,
      "shared_optimum": 0.5,
      "announced_optimum": 0.08333333333333333,
      "coordinate_storage_shared": 2.0,
      "shared_constructed": 0.5000000000000006,
      "max_random_dual": 0.4955871911059384
    },
    {
      "q": 24,
      "p": 19,
      "r": 5,
      "B": 3.0,
      "shared_optimum": 0.3472222222222222,
      "announced_optimum": 0.06944444444444445,
      "coordinate_storage_shared": 1.6666666666666667,
      "shared_constructed": 0.3472222222222227,
      "max_random_dual": 0.3402072536982641
    },
    {
      "q": 24,
      "p": 20,
      "r": 4,
      "B": 3.0,
      "shared_optimum": 0.2222222222222222,
      "announced_optimum": 0.05555555555555555,
      "coordinate_storage_shared": 1.3333333333333333,
      "shared_constructed": 0.22222222222222257,
      "max_random_dual": 0.22082980618710027
    },
    {
      "q": 24,
      "p": 21,
      "r": 3,
      "B": 3.0,
      "shared_optimum": 0.125,
      "announced_optimum": 0.041666666666666664,
      "coordinate_storage_shared": 1.0,
      "shared_constructed": 0.12500000000000014,
      "max_random_dual": 0.12480493188828702
    },
    {
      "q": 24,
      "p": 22,
      "r": 2,
      "B": 3.0,
      "shared_optimum": 0.05555555555555555,
      "announced_optimum": 0.027777777777777776,
      "coordinate_storage_shared": 0.6666666666666666,
      "shared_constructed": 0.05555555555555571,
      "max_random_dual": 0.055452391010794994
    },
    {
      "q": 24,
      "p": 23,
      "r": 1,
      "B": 3.0,
      "shared_optimum": 0.013888888888888888,
      "announced_optimum": 0.013888888888888888,
      "coordinate_storage_shared": 0.3333333333333333,
      "shared_constructed": 0.01388888888888891,
      "max_random_dual": 0.013888888888888888
    },
    {
      "q": 24,
      "p": 24,
      "r": 0,
      "B": 3.0,
      "shared_optimum": 0.0,
      "announced_optimum": 0.0,
      "coordinate_storage_shared": 0.0,
      "endpoint": "analytic zero-leakage case"
    }
  ]
}