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    "warning": "Syndrome closure can always form a codeword by parity repair; this is only a ranked candidate generator until JS8 message unpack/CRC validates a candidate."
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            "codeword174_sha256_16": "e64696234a9e9700"
          },
          {
            "message_flip_indices": [
              8,
              4
            ],
            "parity_flip_indices": [
              91,
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              152,
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              156,
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              172,
              173
            ],
            "all_flip_indices": [
              8,
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            ],
            "message_flip_count": 2,
            "parity_flip_count": 28,
            "total_flip_count": 30,
            "message_flip_cost": 0.020221,
            "parity_flip_cost": 33.270029,
            "total_reliability_cost": 33.29025,
            "closed_syndrome_weight": 999,
            "valid_codeword_hard_decision": true,
            "message91": "0000100110000001000001000100000000000010001000000000010000000000000001100000000101000100110",
            "message91_sha256_16": "36258d9d38b0281f",
            "codeword174_sha256_16": "cb03d310703a3bef"
          },
          {
            "message_flip_indices": [
              80,
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            "parity_flip_indices": [
              95,
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              99,
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              148,
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              155,
              157,
              159,
              160,
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              165,
              166,
              167,
              168,
              170,
              171
            ],
            "all_flip_indices": [
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            ],
            "message_flip_count": 2,
            "parity_flip_count": 32,
            "total_flip_count": 34,
            "message_flip_cost": 0.01723,
            "parity_flip_cost": 33.416528,
            "total_reliability_cost": 33.433758,
            "closed_syndrome_weight": 999,
            "valid_codeword_hard_decision": true,
            "message91": "0000000100000001000001000100000010000010001000000000010000000000000001100000000111000100110",
            "message91_sha256_16": "d1dd1f00eea52156",
            "codeword174_sha256_16": "4529cc6ea45b8c15"
          },
          {
            "message_flip_indices": [
              37,
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            ],
            "parity_flip_indices": [
              93,
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              170
            ],
            "all_flip_indices": [
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            ],
            "message_flip_count": 3,
            "parity_flip_count": 33,
            "total_flip_count": 36,
            "message_flip_cost": 0.212962,
            "parity_flip_cost": 33.260317,
            "total_reliability_cost": 33.473279,
            "closed_syndrome_weight": 999,
            "valid_codeword_hard_decision": true,
            "message91": "0000000100000001000001000100000000000110001000000000111000000000000001100000000101000100110",
            "message91_sha256_16": "f89221702d6c6b08",
            "codeword174_sha256_16": "17b3bb4d1d83b9f3"
          },
          {
            "message_flip_indices": [
              80,
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            ],
            "parity_flip_indices": [
              91,
              93,
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              99,
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              103,
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              117,
              124,
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              133,
              135,
              137,
              140,
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              149,
              153,
              154,
              157,
              160,
              161,
              163,
              164,
              165,
              166,
              167,
              168,
              170,
              173
            ],
            "all_flip_indices": [
              80,
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              95,
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              165,
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              167,
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            ],
            "message_flip_count": 3,
            "parity_flip_count": 35,
            "total_flip_count": 38,
            "message_flip_cost": 0.520175,
            "parity_flip_cost": 33.163717,
            "total_reliability_cost": 33.683892,
            "closed_syndrome_weight": 999,
            "valid_codeword_hard_decision": true,
            "message91": "0000000100000001000001000100000000000010001000000000010000000000000000100000000111000100111",
            "message91_sha256_16": "c8c54b0e1ae8c13f",
            "codeword174_sha256_16": "283f17c6b9b19017"
          },
          {
            "message_flip_indices": [
              47,
              24,
              69
            ],
            "parity_flip_indices": [
              92,
              93,
              94,
              95,
              99,
              100,
              101,
              102,
              105,
              108,
              109,
              110,
              123,
              124,
              129,
              134,
              135,
              136,
              138,
              141,
              142,
              143,
              145,
              146,
              153,
              154,
              158,
              159,
              160,
              161,
              162,
              164,
              165,
              166,
              167,
              170,
              172
            ],
            "all_flip_indices": [
              47,
              24,
              69,
              92,
              93,
              94,
              95,
              99,
              100,
              101,
              102,
              105,
              108,
              109,
              110,
              123,
              124,
              129,
              134,
              135,
              136,
              138,
              141,
              142,
              143,
              145,
              146,
              153,
              154,
              158,
              159,
              160,
              161,
              162,
              164,
              165,
              166,
              167,
              170,
              172
            ],
            "message_flip_count": 3,
            "parity_flip_count": 37,
            "total_flip_count": 40,
            "message_flip_cost": 0.429542,
            "parity_flip_cost": 33.702714,
            "total_reliability_cost": 34.132256,
            "closed_syndrome_weight": 999,
            "valid_codeword_hard_decision": true,
            "message91": "0000000100000001000001001100000000000010001000010000010000000000000000100000000101000100110",
            "message91_sha256_16": "937bbbe6622a93b8",
            "codeword174_sha256_16": "24013711efc6e35f"
          }
        ],
        "warning": "Syndrome closure can always form a codeword by parity repair; this is only a ranked candidate generator until JS8 message unpack/CRC validates a candidate."
      }
    }
  ],
  "decodes": [],
  "outputs": {
    "ldpc_soft_decode_json": "/decoders/js8_decoder/runtime/ldpc_soft_decode/step43_ldpc_soft_decode.json"
  },
  "warnings": [
    "Step 51 keeps the direct timing-sweep primary row first and adds a bounded syndrome-closure repair candidate generator ranked by LLR reliability cost.",
    "Step 51 syndrome-closure repair is diagnostic only: parity repair can force syndrome zero, so candidates still need JS8 message unpack/CRC validation before they count as real decodes.",
    "This still does not unpack JS8 text or validate CRC/message payloads.",
    "If soft success is true or a syndrome-closure candidate passes future JS8 message/CRC validation, the next step can unpack the 91-bit message. Otherwise continue timing/interleaver/LLR tuning."
  ],
  "next_action": "Inspect best_syndrome_closure_repair_probe.top_candidates. Next step should add bounded JS8 91-bit message unpack/CRC validation for the ranked candidate messages while keeping timing best row unchanged."
}