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adv-accept report: random 20 complete (1 beyond, 0 hot sets), lowest 20 (13 beyond, 4 hot sets incl. 1738)

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Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
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igneum-labs 2026-10-07 20:25:38 +00:00
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docs/analysis/cryptanalysis/report-acceptance-rule.md
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@ -334,6 +334,24 @@ sweep's ratio column already locates (rows under 0.9810 at 256 units, then a 2^2
| 5245 | 0.9970 | 1.857x BEYOND | +0.129% (1.29) | HOT SET |
| 101905 | 0.9973 | 1.336x BEYOND | +0.050% (0.50) | clear |
| 1605 | 0.9976 | 1.367x BEYOND | +0.054% (0.54) | clear |
| 1738 | 0.9977 | 1.678x BEYOND | +0.102% (1.02) | HOT SET |
| 105371 | 0.9977 | 1.369x BEYOND | +0.070% (0.70) | clear |
| 6842 | 0.9979 | 1.205x BEYOND | +0.036% (0.36) | clear |
| 838 | 0.9979 | 1.331x BEYOND | +0.054% (0.54) | clear |
| 327 (random) | 0.9999 | 1.0000x within | +0.000% | clear |
| 1180 (random) | 0.9999 | 1.0008x within | +0.000% | clear |
| 101805 (random) | 0.9999 | 1.046x within | +0.009% | clear |
Tally at 21:17 BST, 20 random rows complete and 20 of the lowest 25 measured, all at 2^24 nonces:
| Set | n | beyond the f8 1.2x gate | hot set (X_f >= f) |
|---|---|---|---|
| lowest stand-in-ratio seeds (the selector) | 20 | 13 (65%) | 4 (100767, 4346, 5245, 1738) |
| random accepted seeds (the control) | 20 | 1 (5%) | 0 |
Selector enrichment 13x on the gate (65 against 5 percent, binomial error about 11 points at n = 20) and
4 of 20 against 0 of 20 on the hot-set test. The false-positive rate of the 256-unit selector against the
gate is 7 of 20. The remaining 5 lowest rows (3387, 103265, 170, 106924, 107022) land when the chain ends.
Reading at 21:1x BST (the re-submitted chain's first four, build-1, 2^24 nonces, --diag 1): two more hot sets.
The lowest-16 live set now reads 9 beyond the f8 gate of 16 (56 percent) and 3 hot sets by X_f >= f (100767,