Experiment 3

“Plaintext autokey, decided where two known letters line up”

The key letter is now the plaintext letter L back, not the ciphertext letter.

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

The experiment method

What the method does with the 24 known letters.

This is the other autokeyan autokey cipher A cipher that uses the message itself, or the scrambled text itself, as the secret word, each letter enciphered with the letter a fixed distance before it.: the real message, not the scrambled one, becomes its own key after a short start. We can only test it where two of the 24 known lettersthe known letters Sanborn has confirmed that positions 22 to 34 of the message read EASTNORTHEAST and positions 64 to 74 read BERLINCLOCK. sit the right distance apart, so some distances get a clear no and some get no answer at all. The point is to know exactly which distances are still alive, so no one wastes time on the deaddead Said of a period, grid or method when the known letters contradict it: no secret word of that kind can produce the carved letters. ones.

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 ACCENTeach known letter keyed by the known letter 3 places before itEASTNORTHEASTBERLINCLOCKwhat each would carveIKEOWNFEQIZKQKSXMLplace 25: T keyed by E (place 22) carves I; the copper has Vevery lag from 1 to 96, all 24 ways of using the table11112132930525396dead under every wayconsistent in one wayno two known letters that far apartlag 12: one check, one way of using the tableOUT: NO READING; THE MESSAGE CANNOT BE BUILT WITHOUT ITS FIRST LETTERSEASTNORTHEASTBERLINCLOCK
the arcs

In a plaintext autokey each letter is keyed by the message letter a fixed distance before it. Where two known letters sit that far apart, one must carve the other's place. Drawn for distance 3.

the check row

At distance 3, on the sculpture's table, 17 of 18 checks fail. Under the other 23 ways of using the table it fails too.

the verdict strip

34 distances die under every way of using the table. Distance 12 passes its single check in one way. Distances with no two known letters that far apart stay open: the cribs say nothing about them.

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. Number the ciphertext 1 to 97 and mark the 24 known plaintext letters.
  2. Pick a distance, say
    1. Position 25 is T and position 22, three back, is E.
  3. Under the sculpture's alphabet, T is at 4 and E at 11; add them, 15, and read the letter there, I.
  4. The carved letter at 25 is V, so distance 3 fails under this convention.
  5. For a distance like 20 there is no pair of known letters that far apart, so the test says nothing; that distance stays open.
the worksheet: the first steps by hand, on squared paper
THE LEDGER FOR LAG 3: EACH KNOWN LETTER KEYED BY THE KNOWN LETTER 3 PLACES BEFORE ITplaceknownkeyfrom placeknown + keycarved25TE22IV26NA23KQ27OS24EQ28RT25OP29TN26WR30HO27NN31ER28FG32AT29EK33SH30QS34TE31ISplaceknownkeyfrom placeknown + keycarved67LB64ZV68IE65KT69NR66QT70CL67KM71LI68SZ72ON69XF73CC70MP74KL71LK17 crosses, 1 tick, of 18 checks. Onecross is enough: lag 3 is dead underthis way.For a lag like 20, no two known letters sit20 apart; the sheet stays empty and the lagstays open.
4

Worked example, generated

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

plaintext autokey, lag 3, all alphabets KRYPTOS, Vigenere
alphabet: KRYPTOSABCDEFGHIJLMNQUVWXZ

pos  plain  key=p[pos-3]  idx(p)+idx(k)  predicted  carved
 25    T      E             4+11        I        V  x
 26    N      A            19+7         K        Q  x
 27    O      S             5+6         E        Q  x
 28    R      T             1+4         O        P  x
 29    T      N             4+19        W        R  x
 30    H      O            14+5         N        N  ok
5

Hypothesis, for a cryptanalyst

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

K4 is a plaintext-autokey cipher: c[i] = f(p[i], p[i-L]) after a primer of length L. This is the NSA's 1992 first guess for the interval-7 property (knowledge/04-structure.md). The cribs decide it only where both p[i] and p[i-L] are known: within EASTNORTHEAST (lags 1 to 12), within BERLINCLOCK (lags 1 to 10), and between the two runs (lags 30 to 52). We test all 24 conventions at every lag 1 to 96, count the checkable pairs, and record three outcomes per lag: excluded (a mismatch), consistent (all checks pass, at least one check), or undecided (no overlapping pair). For consistent lags we cannot decrypt without the primer, so we report them as open and bound the primer space. Clue register C11a.

6

Prediction

Written before the run; the result decides it.

Lags 1 to 12 and 30 to 52 are excluded under every convention. Lags 13 to 29 and 53 to 96 stay undecided. No candidates pass the crib gate.

7

Method

For each convention and lag L: over crib positions i with i-L also a crib position, compare f(p[i], p[i-L]) with c[i]. Tally excluded, consistent, undecided per lag across conventions. No candidates are generated because the primer is unknown; the bounds are the deliverable.

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
nonechampion before

No candidate can be built without the primer; this experiment exists for its bounds.

What was searched, as the harness recorded it.

family
plaintext autokey
conventions
24
lags
1-96
lags excluded all conventions
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52
lags consistent some conventions
12
1
lags undecided no overlapping cribs
13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96

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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