{
  "scope": "All 256 message vectors for two concrete n=8 matrices only; no query lower-bound, formal, or asymptotic verification.",
  "positive": {
    "n": 8,
    "d": 64,
    "columns": [
      51,
      83,
      147,
      99,
      163,
      195,
      53,
      85,
      149,
      101,
      165,
      197,
      57,
      89,
      153,
      105,
      169,
      201,
      54,
      86,
      150,
      102,
      166,
      198,
      58,
      90,
      154,
      106,
      170,
      202,
      60,
      92,
      156,
      108,
      172,
      204,
      51,
      83,
      147,
      99,
      163,
      195,
      53,
      85,
      149,
      101,
      165,
      197,
      57,
      89,
      153,
      105,
      169,
      201,
      54,
      86,
      150,
      102,
      166,
      198,
      58,
      90,
      154,
      106
    ],
    "row_degrees": [
      36,
      34,
      30,
      28,
      33,
      32,
      32,
      31
    ],
    "kernel": [
      0,
      15,
      240,
      255
    ],
    "minimum_weight_per_block_distance": "27/4",
    "minimizer": 51
  },
  "cancellation": {
    "n": 8,
    "d": 64,
    "columns": [
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102,
      170,
      204,
      51,
      85,
      153,
      102
    ],
    "row_degrees": [
      33,
      32,
      32,
      31,
      33,
      32,
      32,
      31
    ],
    "kernel": [
      0,
      15,
      17,
      30,
      34,
      45,
      51,
      60,
      68,
      75,
      85,
      90,
      102,
      105,
      119,
      120,
      135,
      136,
      150,
      153,
      165,
      170,
      180,
      187,
      195,
      204,
      210,
      221,
      225,
      238,
      240,
      255
    ],
    "minimum_weight_per_block_distance": "0",
    "minimizer": 17
  },
  "separate_block_minimum_ratio": "21",
  "nonconstant_cancelling_message": 17
}