Experiment 261

“F1.12: F1.1 Beaufort 23 and 26 and F1.2 at 13, K4 against 100 of its own copies with the one-run decider, then MIX8m and the blind judge as second deciders”

F1.12 (Alexis, 2026-10-28, #100: close at stated power and still rerun, so a missed lead gets a second chance). The three cells closed at measured power on 2026-10-28 had K4 ranked among 12 copies only (9th, 12th and 13th of 13). Here each cell's K4 is ranked among 100 of its own copies, each climbed with the one-run decider (D1: one tempering run, 0140's climb for one alphabet; 0144's for two, with as many runs as D1b qualifies); the best readings then rescored by MIX8m (0233) and read by the blind judge, K4 and copies together. 8 plants per cell in the same run.

revertedstatus
experiment 229parents
13 mintime, all phases
0candidates
0/24known letters
unclocked
1

The experiment method

What the method does with the 24 known letters.

Three versions of the cipher table with a scrambled alphabet were closed after K4the carved letters The 97 letters cut into the copper at the CIA, shown at the top of every experiment page. read no better than 12 scrambled copiesa shuffled control The same experiment run on the carved letters shuffled into a random order. of itself. Twelve is a small crowd. Here K4 faces 100 copies in each, and two more readers judge the results: a stronger statistical model of English, and a language model that reads for words.

Words in the margin are defined on the glossary page.

1.1

The method at work

The carved letters go in at the top; the reading comes out at the bottom.

OBKRUOXOGHULBSOLIFBBWEASTNORTHEASTOTWTQSJQSSEKZZWATJKLUDIAWINFBBERLINCLOCKWGDKZXTJCDIGKUHUAUEKCARper cell: K4 and 100 of its own copies, each searched the same way; K4's rank by quadgrams, by MIX8m and by the blind judgeF1.1, one alphabet, Beaufort, key 23: copies at or above K4, quadgrams 68, MIX8m 55, judge 46; one cell per copy, solid at or above K4 by MIX8mF1.1, one alphabet, Beaufort, key 26: copies at or above K4, quadgrams 70, MIX8m 10, judge 50; one cell per copy, solid at or above K4 by MIX8mF1.2, two alphabets, key 13: copies at or above K4, quadgrams 100, MIX8m 97, judge 86; one cell per copy, solid at or above K4 by MIX8ma copy at or above K4below K4planted messages found against 6 own copies: F1.1 7 of 8, F1.1 5 of 8, F1.2 5 of 8EASTNORTHEASTBERLINCLOCKIN: THE COPPER, ALL 97 LETTERS, THE 24 KNOWN PLACES IN ACCENTOUT: NO READING; K4 INSIDE ITS 100 COPIES IN EVERY CELL, ON EVERY DECIDER
the idea

F1.12: three cells closed at measured power on 2026-10-28 with K4 ranked among only 12 copies; rerun against 100, with two more readers.

the check

One-search decider (four searches for two alphabets, D1b); MIX8m and the blind judge read the best readings, K4 and copies together (303 judge calls).

the bound

K4 is never above more than 90 of its 100 copies on any reader; planted messages found 7, 5 and 5 of 8. Closed.

2

Experiment lineage

What this experiment was built on, from the lineage page: 17 experiments before it, back to the root of its line. Its number is in bold.

kept reverted, in its family's colour ×error or timeout reverted under today's rules built on a parent in the same family built on a parent in another family
3

Best candidate against the known letters

This experiment produced no candidate: the search ruled everything out before a full text was built. Its product is the bounded negative under Result and bounds below.

4

Walkthrough, by hand

Redo the method on a few letters with pencil and paper.

  1. Take one cell, say a scrambled alphabet on both sides of the table with a key of 23 letters, Beaufort form.
  2. Search for the alphabet and key that make K4 read most like English while keeping the 24 known letters.
  3. Make 100 scrambled copies of K4 that fit the same 24 letters equally well and search each the same way.
  4. Rank K4's best reading among the 100 copies' by the search's score, by a stronger English model, and by a language model reading for words.
  5. A real answer should come out on top on all three.
the worksheet: the first steps by hand, on squared paper
cellrunsquadgramsMIX8mjudgeplants1.1-B231685546 (K4 12, max 18)7/81.1-B261701050 (K4 12, max 22)5/81.2-1341009786 (K4 8, max 30)5/8Copies: one alphabet, shuffles the exact decider fits at the length; two alphabets, the carved letters at the 24 knownplaces kept, the rest shuffled. Every K4 reading keeps the 24 known letters; the rest is junk.K4 AGAINST 100 OWN COPIES PER CELL: COPIES AT OR ABOVE K4 ON EACH READER
5

Worked example, generated

The same steps run by the code on the real letters.

F1.12: three cells, K4 against 100 of its own copies, three deciders.

  cell            alphabets  key length  checks
  F1.1 B23        one        23          7
  F1.1 B26        one        26          1
  F1.2 13         two        13          11

  each text: one tempering run keeping the 24 known letters -> best reading
  rank K4 among its copies by quadgrams, by MIX8m, by the blind judge.
6

Hypothesis, for a cryptanalyst

Family, key space, the constraint under test, and the clues it reads.

F1.1 (Quagmire III with an unknown order, Beaufort form) at key lengths 23 (7 checks) and 26 (1 check), and F1.2 (Quagmire IV, two unknown alphabets) at 13 (11 checks): the known letters leave thousands of alphabets, so English decides. Design 2 (0139-0146) put K4 9th, 12th and 13th of 13; D1 (0228, 0229) and A6.2 (0226) measured power on clean and Sanborn-style plants: L23 33/40 and 32/48, L26 13/24 and 17/24, L13 7/10 and 17/24. With 100 copies K4's rank is measured to 1%; MIX8m (1.95 bits per letter against the quadgrams' 1.75) and the judge (which reads telegraphese and abbreviated English, 0251) are second deciders that do not share the climb's score. Clue entries C27(c), C5(a); A6, A13.

7

Prediction

Written before the run; the result decides it.

K4 inside its copies in all three cells on all three deciders: rank by the climb's score within the middle 90%, MIX8m and judge ranks likewise; no cell with K4 above all 100. Plants found about as D1 measured (5-7 of 8).

8

Method

  1. Cells: (one alphabet, Beaufort, 23), (one alphabet, Beaufort, 26), (two alphabets, 13).
  2. Copies: one alphabet, shuffles of K4 that 0120's exact decider fits at that length (as 0140); two alphabets, kept-place copies (the carved letters at the 24 known places kept, the other 73 shuffled, as 0144), started from K4's witness.
  3. Every text climbed with the one-run decider (RUNS_ONE runs of 0140's tempering; RUNS_TWO of 0144's), its best reading kept.
  4. Deciders: the climb's quadgram score; MIX8m on the reading; the blind judge on K4's and the 100 copies' readings in one call per cell. K4's rank among its copies on each.
  5. Plants: 4 clean and 4 Sanborn-style per cell, 6 own copies, through the same climb; found when above all own copies.
9

Result and bounds

The harness's record: candidates, gates, loss, and the negative result this experiment leaves behind.

0candidates returned
0passed every gate
0/24known letters, best
–lowest loss
nonechampion before

F1.12: 1.1-B23: K4 quadgram 68/100 at or above, MIX8m 55, judge 46 (K4 12), plants 7/8; 1.1-B26: K4 quadgram 70/100 at or above, MIX8m 10, judge 50 (K4 12), plants 5/8; 1.2-13: K4 quadgram 100/100 at or above, MIX8m 97, judge 86 (K4 8), plants 5/8

What was searched, as the harness recorded it.

item
F1.12
cells
1.1-B23
runs per text
1
quadgram
k4
-5.11
copies at or above
68
mix8m
k4
-419.21
copies at or above
55
judge
k4
12
copies at or above
46
copies max
18
k4 reading
ZWELTFTTOLINGEDLEXAHDEASTNORTHEASTTCONDALWAYFROLHMUCANSBUFENTTHBERLINCLOCKHOSANCORGOODORBAHEAIJMP
k4 known in place
24
plants found
7, 8
plants by class
xstops
2
sub3
1
clean
4
k123
1
1.1-B26
runs per text
1
quadgram
k4
-4.965
copies at or above
70
mix8m
k4
-392
copies at or above
10
judge
k4
12
copies at or above
50
copies max
22
k4 reading
QOPULLERSFAIRSEHATKMGEASTNORTHEASTARTRISKULEDHYDEEVELCOEDKIDEHEBERLINCLOCKEDNWHERTYTWEMOMODNOREQU
k4 known in place
24
plants found
5, 8
plants by class
xstops
2
sub3
1
clean
4
k123
1
1.2-13
runs per text
4
quadgram
k4
-5.138
copies at or above
100
mix8m
k4
-417.2
copies at or above
97
judge
k4
8
copies at or above
86
copies max
30
k4 reading
CVFWARPLOTBYDICHCOMINEASTNORTHEASTISEUNINGPSONEMUPUSPACEMPLOBGMBERLINCLOCKUNDIDFIOGYMAKHISTHYFAWS
k4 known in place
24
plants found
5, 8
plants by class
xstops
2
sub3
1
clean
4
k123
1
k4 copies per cell
100
copies
one alphabet: shuffles 0120's exact decider fits at the length (as 0140); two alphabets: kept-place copies from K4's witness (as 0144)
decider
one-run decider: 0140's tempering x 1 (one alphabet), 0144's x 4 (two alphabets); second deciders MIX8m (0233) and the blind judge
judge calls
303
judge none
0
cells with k4 above all copies on some decider
none
power reference
0229 (L23 one run: clean 21-23/24, Sanborn-style 14-16/24; L26 11-18, 11-17), D1b (L13)
compute seconds
732
exhaustive
no
modal cost estimate
2 x (101 + 56) one-run climbs (about 17 s) and 157 four-run climbs (about 70 s): about 4.5 core-hours, under $1 of Modal credit (about $3.7 left after the margin); the judge 303 calls

How this experiment sits among the others is on the lineage page; its family's open hypotheses are on the families page.

Rendered from the record on 2026-11-05 17:14 UTC; updated after every experiment.
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