{
  "schema_version": 1,
  "gate": "qldpc-known-answer-baselines",
  "challenge_source": "https://gist.github.com/ShuxiangCao/aa35ff78f403ed7ab730e36e165c3cf1",
  "generated_at": "2026-07-23T07:56:03.832227+00:00",
  "method": {
    "distance": "scipy.optimize.milp (HiGHS), early_stop disabled",
    "acceptance": "all 2k logical directions solved to proven optimality",
    "timeout_per_logical_s": 300,
    "total_timeout_per_code_s": 7200
  },
  "environment": {
    "python": "3.12.3",
    "numpy": "2.3.5",
    "scipy": "1.17.0",
    "qldpc": "0.2.6"
  },
  "passed": true,
  "summary": {
    "passed": 3,
    "total": 3
  },
  "baselines": [
    {
      "label": "[[72,12,6]]",
      "ell": 6,
      "m": 6,
      "A_terms": [
        [
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          0
        ],
        [
          0,
          1
        ],
        [
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          2
        ]
      ],
      "B_terms": [
        [
          0,
          3
        ],
        [
          1,
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        ],
        [
          2,
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        ]
      ],
      "expected": {
        "n": 72,
        "k": 12,
        "d": 6
      },
      "observed": {
        "n": 72,
        "rank_hx": 30,
        "rank_hz": 30,
        "k": 12,
        "d": 6,
        "fom": 6.0,
        "commutation_violations": 0,
        "max_row_weight": 6,
        "max_qubit_degree": 6,
        "tanner_components": 1
      },
      "matrix_sha256": {
        "hx": "5b2a06e947f10b2d136c4a439cd1158922f1ec56f03efded4fa073474f41ca41",
        "hz": "15c8558e7362304ad2bccc5f4a2a19c3dd00939af1465979ad74d8177d6fc8fe"
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      "milp": {
        "d_x": 6,
        "d_z": 6,
        "k": 12,
        "exact": true,
        "d_x_computed": true,
        "num_logicals_checked": 24,
        "logicals_optimal": 24,
        "logicals_incumbent": 0,
        "total_logicals": 24,
        "time_s": 14.918640526011586,
        "timeout_per_logical": 300
      },
      "checks": {
        "valid_polynomials": true,
        "css_commutation": true,
        "weight_bound": true,
        "connected_tanner_graph": true,
        "expected_n": true,
        "expected_k": true,
        "qldpc_k_crosscheck": true,
        "all_milp_directions_optimal": true,
        "expected_d": true
      },
      "failures": [],
      "status": "passed"
    },
    {
      "label": "[[90,8,10]]",
      "ell": 15,
      "m": 3,
      "A_terms": [
        [
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          0
        ],
        [
          0,
          1
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        [
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      ],
      "B_terms": [
        [
          0,
          0
        ],
        [
          2,
          0
        ],
        [
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        ]
      ],
      "expected": {
        "n": 90,
        "k": 8,
        "d": 10
      },
      "observed": {
        "n": 90,
        "rank_hx": 41,
        "rank_hz": 41,
        "k": 8,
        "d": 10,
        "fom": 8.88888888888889,
        "commutation_violations": 0,
        "max_row_weight": 6,
        "max_qubit_degree": 6,
        "tanner_components": 1
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      "matrix_sha256": {
        "hx": "a4d8d7965b48d61ac2af4268f329736138e7cc6cd4add4d45ad01e090298b807",
        "hz": "ae26244061d55e7bc79b9530e54e6cff8357a95e46d745aeed43ba827ff935e0"
      },
      "milp": {
        "d_x": 10,
        "d_z": 10,
        "k": 8,
        "exact": true,
        "d_x_computed": true,
        "num_logicals_checked": 16,
        "logicals_optimal": 16,
        "logicals_incumbent": 0,
        "total_logicals": 16,
        "time_s": 169.2676596348174,
        "timeout_per_logical": 300
      },
      "checks": {
        "valid_polynomials": true,
        "css_commutation": true,
        "weight_bound": true,
        "connected_tanner_graph": true,
        "expected_n": true,
        "expected_k": true,
        "qldpc_k_crosscheck": true,
        "all_milp_directions_optimal": true,
        "expected_d": true
      },
      "failures": [],
      "status": "passed"
    },
    {
      "label": "[[144,12,12]]",
      "ell": 12,
      "m": 6,
      "A_terms": [
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        ],
        [
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        [
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      "B_terms": [
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          3
        ],
        [
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        [
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      ],
      "expected": {
        "n": 144,
        "k": 12,
        "d": 12
      },
      "observed": {
        "n": 144,
        "rank_hx": 66,
        "rank_hz": 66,
        "k": 12,
        "d": 12,
        "fom": 12.0,
        "commutation_violations": 0,
        "max_row_weight": 6,
        "max_qubit_degree": 6,
        "tanner_components": 1
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      "matrix_sha256": {
        "hx": "bd1b76887a3c38fa0bfad44ad11fbdbea0ba07d3233dacd5db98f5cec6a162e5",
        "hz": "25535dfd7bc99ccb071f8e26e42d958020271b77c55507901a44fd56b8ce4eef"
      },
      "milp": {
        "d_x": 12,
        "d_z": 12,
        "k": 12,
        "exact": true,
        "d_x_computed": true,
        "num_logicals_checked": 24,
        "logicals_optimal": 24,
        "logicals_incumbent": 0,
        "total_logicals": 24,
        "time_s": 1819.602369422093,
        "timeout_per_logical": 300
      },
      "checks": {
        "valid_polynomials": true,
        "css_commutation": true,
        "weight_bound": true,
        "connected_tanner_graph": true,
        "expected_n": true,
        "expected_k": true,
        "qldpc_k_crosscheck": true,
        "all_milp_directions_optimal": true,
        "expected_d": true
      },
      "failures": [],
      "status": "passed"
    }
  ]
}