Experiment 57

“Filler letters chosen by letter: drop every copy of one or two letters, then the repeating secret word”

Experiment 23 removed filler letters at regular spacings. Here the filler is chosen by letter instead: every copy of one letter, or of a pair of letters, is struck out wherever it falls outside the two known stretches, the known letters move to their new places, and the repeating-secret-word test is run at every length.

revertedstatus
experiment 23parents
2 stime, all phases
0candidates
0/24known letters
unclocked
1

The experiment method

What the method does with the 24 known letters.

A message can be padded with filler letters that the reader is told to ignore, for example every Q. Experiment 23 tried filler at regular spacing. Here the filler is every copy of one letter, or of two letters, outside the known stretches. Striking them out moves the known lettersthe known letters Sanborn has confirmed that positions 22 to 34 of the message read EASTNORTHEAST and positions 64 to 74 read BERLINCLOCK. to new places, and we ask again whether a repeating secret wordthe secret word The word or string a cipher needs besides the method. of any length could fit them. Random strike-outs of the same size are the controla shuffled control The same experiment run on the carved letters shuffled into a random order..

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.

OBKRUOXOGHULBSOLIFBBWEASTNORTHEASTOTWTQSJQSSEKZZWATJKLUDIAWINFBBERLINCLOCKWGDKZXTJCDIGKUHUAUEKCARIN: THE COPPER, ALL 97 LETTERS, THE 24 KNOWN PLACES IN ACCENTQ taken as a filler: the Qs outside the known stretches are struck, and BERLINCLOCK moves upEASTNORTHEASTBERLINCLOCKplaces 39 and 42 struckBERLINCLOCK now at 62 to 72the shortest secret word each filler choice allows: 351 choices (ochre) against random strike-outs of the same size (grey)24252627454647OUT: NO READING; STRIKE-OUTS BEHAVE LIKE RANDOM ONESEASTNORTHEASTBERLINCLOCK
the filler

A filler letter is a letter Sanborn might have scattered through the message to be ignored. Striking it out shifts every later place, so BERLINCLOCK lands earlier.

the choices

Every letter, and every pair of letters, was tried as the filler, struck everywhere outside the two known stretches: 351 choices, then the usual repeating-key test under every length.

the bound

The shortest secret word each choice allows is spread just as for random strike-outs of the same size: nothing about one or two filler letters helps.

2

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 in section 7.

3

Walkthrough, by hand

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

  1. Take Q as the filler.
  2. Q appears at places 26, 27, 39 and 42; 26 and 27 lie inside EASTNORTHEAST, so only 39 and 42 are struck.
  3. No known letter lies before place 39, so EASTNORTHEAST stays at 22-34; BERLINCLOCK, after two strike-outs, now sits at 62-72.
  4. With a secret word of 7 letters, place 22 (E under F) and place 29 (T under R) share a slot and must force the same key letter on the sculpture's table.
  5. They do not, so 7 is dead for this filler.
  6. Repeat for every length, table and filler.
the worksheet: the first steps by hand, on squared paper
Q AS THE FILLER: WHERE THE QS ARE, WHICH ARE STRUCK, AND WHERE THE KNOWN LETTERS LANDplacewhereverdict26inside EASTNORTHEASTkept27inside EASTNORTHEASTkept39outsidestruck42outsidestruckTwo strike-outs fall before place 64, soBERLINCLOCK moves from 64-74 to 62-72.With a secret word of 7, places 22 (E underF) and 29 (T under R) share a slot and mustforce the same key letter on the sculpture'stable. They do not, so 7 is dead for thisfiller.
4

Worked example, generated

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

Q at [26, 27, 39, 42]; struck outside the crib ranges: [39, 42]; BERLINCLOCK moves from 64-74 to 62-72
5

Hypothesis, for a cryptanalyst

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

C4 masking and C18 ('a bit of stego', 98 characters) allow nulls; a null letter that is a real letter chosen by rule is listed open in families.md. Model: every occurrence of a null letter (each of 26) or of a null pair (325) is removed from the carved text outside the crib ranges 22-34 and 64-74 (a null inside a range would contradict Sanborn's positions), shifting the cribs' plaintext indices by the nulls before them; the rest is a periodic tableau text. Test periods 1-52 under the plain and cipher alphabets standard and KRYPTOS and three modes (the key alphabet drops out of consistency, 0006), exactly. Control: for each mask, ten masks removing the same number of letters at random positions outside the ranges. Bounds: complete for 351 letter masks and periods 1-52.

6

Prediction

Written before the run; the result decides it.

No letter mask makes any period below 26 consistent more often than random strike-outs do; the smallest consistent period stays in the high twenties. Zero candidates.

7

Method

  1. For each letter and pair of letters, strike every copy outside places 22-34 and 64-74.
  2. Shift the known places by the strike-outs before them.
  3. For each period 1-52, alphabet pair and mode, check that known letters sharing a key slot force the same key letter.
  4. Record the smallest consistent period.
  5. Repeat with random strike-outs of the same count.
8

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
34champion before

351 letter masks; smallest consistent period per mask: {24: 18, 25: 117, 26: 168, 27: 45, 47: 3}; random strike-outs of the same size (per 10): {24: 17.1, 25: 104.6, 26: 174.3, 27: 48.4, 45: 0.4, 46: 1.0, 47: 5.2}. Masks below 26: 135.

What was searched, as the harness recorded it.

family
null letters (every copy of one or two letters outside the crib ranges), then periodic tableau
masks
351
controls per mask
10
periods
1-52
alphabet pairs
4
modes
3
smallest period histogram
24
18
25
117
26
168
27
45
47
3
control histogram per 10
24
17.1
25
104.6
26
174.3
27
48.4
45
0.4
46
1
47
5.2
masks below 26
  1. letters
    AS
    struck
    8
    period
    24
  2. letters
    AT
    struck
    8
    period
    24
  3. letters
    AW
    struck
    9
    period
    24
  4. letters
    IS
    struck
    8
    period
    24
  5. letters
    IT
    struck
    8
    period
    24
  6. letters
    IW
    struck
    9
    period
    24
  7. letters
    JS
    struck
    7
    period
    24
  8. letters
    JT
    struck
    7
    period
    24
  9. letters
    JW
    struck
    8
    period
    24
  10. letters
    KS
    struck
    10
    period
    24
  11. letters
    KT
    struck
    10
    period
    24
  12. letters
    KW
    struck
    11
    period
    24
and 8 more

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 2026-10-18 12:26 UTC; updated after every experiment.
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