Run · Voynich Manuscript

T41 generation 6: 400 restarts on the one-sign-per-letter control; better likelihood, still under the bar

Lattice EM decipherment: sign boundaries and key learned together, with a structure-preserving null: Best restart's training log-likelihood; key accuracy; held-out dictionary coverage (bar 0.483).

Fails the control gate. Doubling the restarts gains 117 nats of likelihood but not key accuracy or coverage; the gap to the true key's basin (350 nats) shrinks only logarithmically with restarts. Generation 7 searches around the best restart instead (basin hopping).ll -40,852 (best restart 205, seed 6205), key 0.623, coverage 0.340, character similarity 0.2540

Result

Run	Measured	Result	Against	Decision	Date
Run	Best restart's training log-likelihood; key accuracy; held-out dictionary coverage (bar 0.483)	ll -40,852 (best restart 205, seed 6205), key 0.623, coverage 0.340, character similarity 0.254	200 restarts: ll -40,969, key 0.698, coverage 0.374 · EM from the true key: ll -40,505, coverage 0.518	Fails the control gate. Doubling the restarts gains 117 nats of likelihood but not key accuracy or coverage; the gap to the true key's basin (350 nats) shrinks only logarithmically with restarts. Generation 7 searches around the best restart instead (basin hopping).

What it used and found

Lattice EM decipherment: sign boundaries and key learned together, with a structure-preserving null

Method

MTH

Herbal A and Herbal B paragraph text: training and held-out pages

Dataset

DAT

Latin genre texts

Dataset

DAT

Naibbe cipher tables and example plaintexts (greshko/naibbe-cipher, commit 719f2f4c)

Dataset

DAT

Latin as a re-spaced homophonic stream (period practices)

Answer it tests

ANS

Parameters

pw = 0.25, alpha = 0.05, restarts = 400, settings = one sign per letter (as g5c), permutations = 10, em_iterations = 60, restart_seeds = 6000-6399

Cite it

Mysteries Department. (2026). T41 generation 6: 400 restarts on the one-sign-per-letter control; better likelihood, still under the bar [Run RUN0DCHDDGSSB3H]. https://mysteriesdept.com/r/RUN0DCHDDGSSB3H

@misc{mysteriesdept_run0dchddgssb3h,
  title     = {T41 generation 6: 400 restarts on the one-sign-per-letter control; better likelihood, still under the bar},
  author    = {{Mysteries Department}},
  year      = {2026},
  note      = {Run, catalog key RUN0DCHDDGSSB3H},
  url       = {https://mysteriesdept.com/r/RUN0DCHDDGSSB3H}
}