files / problems / covering / compute / qm35_build_manifest.json

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{
  "construction": "QM_5^3 (Theorem 7.3; q6b calls it QM_3^5)",
  "density_denominator": 33554432,
  "density_numerator": 45445217,
  "distinct_nonzero_columns": 817,
  "field_modulus_hex": "0x25",
  "format": "covering-qm35-build-manifest-v1",
  "golay_generator_polynomial_hex": "0xAE3",
  "golay_parity_check_columns_decimal": [
    739,
    1478,
    367,
    734,
    1468,
    411,
    822,
    1644,
    1595,
    1685,
    1993,
    1393,
    1,
    2,
    4,
    8,
    16,
    32,
    64,
    128,
    256,
    512,
    1024
  ],
  "golay_parity_check_rows_hex": [
    "0x1F25",
    "0x216F",
    "0x42DE",
    "0x85BC",
    "0x10B78",
    "0x209D5",
    "0x40C8F",
    "0x8063B",
    "0x100C76",
    "0x2007C9",
    "0x400F92"
  ],
  "improvement": 1,
  "indicators_decimal": [
    1,
    2,
    3,
    4,
    5,
    6,
    7,
    8,
    9,
    10,
    11,
    12,
    13,
    14,
    15,
    16,
    17,
    18,
    19,
    20,
    21,
    22,
    23
  ],
  "length": 817,
  "matrix": "compute/H_R3_r26_n817.txt",
  "published_length_arxiv_2511_02542": 818,
  "radius2_exact_three_sum_syndromes": 1024,
  "radius2_input": "compute/H_r10_n50.txt",
  "rank": 26,
  "redundancy": 26,
  "warning": "Builder checks are not the certificate; run run_qm35_checks.sh."
}