{
  "seed": 251,
  "device": "cpu",
  "mathcheck": {
    "delta": 0.25,
    "capacity_formula": 0.3475898813907971,
    "code_rate": 0.25,
    "safe_rate_(eps=.1)": 0.3128308932517174,
    "rate_satisfies_margin": true
  },
  "results": [
    {
      "kind": "iid",
      "q": 0.5,
      "list_mean": 1.084375,
      "list_max_mean": 3.0,
      "collision_fraction": 0.083125,
      "accuracy": {
        "0": 1.0,
        "0.25": 0.9359999895095825,
        "0.5": 0.7144999802112579
      },
      "seconds": 29.046528816223145
    },
    {
      "kind": "markov",
      "q": 0.25,
      "list_mean": 1.150625,
      "list_max_mean": 2.5,
      "collision_fraction": 0.1475,
      "accuracy": {
        "0": 1.0,
        "0.25": 0.949999988079071,
        "0.5": 0.8264999985694885
      },
      "seconds": 25.77687382698059
    },
    {
      "kind": "markov",
      "q": 0.4,
      "list_mean": 1.055,
      "list_max_mean": 2.5,
      "collision_fraction": 0.05437499999999999,
      "accuracy": {
        "0": 1.0,
        "0.25": 0.9674999713897705,
        "0.5": 0.7804999947547913
      },
      "seconds": 25.91933584213257
    }
  ],
  "notes": "iid q=.5 is the symmetric iid Bernoulli source; Markov q=.25 has positive persistence. Lists are sampled by inserting random bits and counting codewords that are subsequences."
}