Experiment 245

“F14.1 replication: K4's 5 fitting dictionary alphabet pairs at key length 16 (added form) against 1,000 fresh shuffles, counted as pairs and as distinct cipher alphabets”

Replication only (program.md: a result outside the copies' range is replicated against fresh controls before anything else). 0244's search unchanged, run at key length 16 alone, both forms, on K4 and 1,000 fresh shuffles (seed 245). In 0244 K4 had 5 fitting pairs at 16/added, the 50 copies at most 4; the 5 share two cipher alphabets (AEOLOTROPISM four times), so the count is also taken as distinct cipher alphabets.

revertedstatus
experiment 244parents
4 mintime, all phases
5candidates
24/24known letters
unclocked
1

The experiment method

What the method does with the 24 known letters.

In the last test K4the carved letters The 97 letters cut into the copper at the CIA, shown at the top of every experiment page. had slightly more matching alphabet pairs at one key length than any of 50 shuffled copies. That happens by luck now and then when many lengths are looked at, so we count again on 1,000 new shuffles to see how unusual it really is.

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.

OBKRUOXOGHULBSOLIFBBWEASTNORTHEASTOTWTQSJQSSEKZZWATJKLUDIAWINFBBERLINCLOCKWGDKZXTJCDIGKUHUAUEKCARkey length 16, added form: fitting pairs on each of 1,000 fresh shuffles (bar at n+1 for n pairs, height on a log scale; the tall first bar = none)1617K4: 5 pairsshuffles at or above K4: p 0.00899 (pairs), 0.03796 (distinct cipher alphabets); the 52 cells need p < 0.000962: not a flagKVXCCXHPKGLNYPWRRYQFBEASTNORTHEASTEIBHVVNNPTPYTMBJGPLYWHAVISBUCBERLINCLOCKIHOYTJNLRJRFTDMPDAPYANPIN: THE COPPER, ALL 97 LETTERS, THE 24 KNOWN PLACES IN ACCENTOUT: ONE OF K4'S FIVE FIXED READINGS AT LENGTH 16; THE KNOWN LETTERS ARE IN PLACE BY CONSTRUCTION
the idea

Replication of 0244's one unusual count: 5 fitting alphabet pairs on K4 at key length 16, more than any of 50 shuffles.

the check

The same search at length 16 on 1,000 fresh shuffles; counted as pairs and as distinct cipher alphabets.

the bound

p 0.00899 and 0.03796, above the corrected line 0.000962: not a flag. The readings are junk.

2

Experiment lineage

What this experiment was built on, from the lineage page: 8 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

Laid out as the copper carries K4: OBKR ends the line that finishes K3, then three lines of 31. Left, as carved, the 24 known places in accent. Right, the candidate: a known place it gets right is an accent cell, one it misses is outlined. This is the candidate with most known letters right; none passed every gate.

in: the copper, always the same

as carved, 97 letters; the 24 known places in accent
ECDMRIPFEIMEHNLSSTTRTVDOHW?OBKR
UOXOGHULBSOLIFBBWFLRVQQPRNGKSSO
TWTQSJQSSEKZZWATJKLUDIAWINFBNYP
VTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR

OBKR ends the line that finishes K3, then three lines of 31

out: the candidate

every place read; known places in accent, misses outlined
ECDMRIPFEIMEHNLSSTTRTVDOHW?KVXC
CXHPKGLNYPWRRYQFBEASTNORTHEASTE
IBHVVNNPTPYTMBJGPLYWHAVISBUCBER
LINCLOCKIHOYTJNLRJRFTDMPDAPYANP

checked: the known letters in place, and the reading turns back into the copper

4

How the score is made

The loss of the best candidate, part by part. Zero is solved.

Known letters missed0 of 24, ten points each0.00
Englishthe 73 free letters score -7.91; English text scores -3.64.31
Key267 bits to write it down (key words are cheap, arbitrary letters 4.7 bits each); each 60 beyond 60 costs a point3.45
Lossof 240, the worst possible7.76 3.2%
5

Walkthrough, by hand

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

  1. Take K4 and shuffle its letters, 1,000 times.
  2. For each, file every cipher alphabet by the gaps that key length 16 asks for, and look up every plain alphabet.
  3. Count the matching pairs, and the different cipher alphabets among them.
  4. See how many shuffles reach K4's counts.
the worksheet: the first steps by hand, on squared paper
pairsshuffles08801782223943547181101161K4: 5 pairs from 2 cipher alphabets (AEOLOTROPISM four times). p 0.00899.FITTING PAIRS AT KEY LENGTH 16, ADDED FORM, ON 1,000 FRESH SHUFFLES
6

Worked example, generated

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

Key length 19: known places in the same key slot, and what they ask of the two alphabets (added form)

places   known  carved   the gap on the cipher alphabet must equal the gap on the plain alphabet
 26,64    NB     QN       gap(Q to N) on the cipher alphabet = gap(N to B) on the plain alphabet
 27,65    OE     QY       gap(Q to Y) on the cipher alphabet = gap(O to E) on the plain alphabet
 28,66    RR     PP       gap(P to P) on the cipher alphabet = gap(R to R) on the plain alphabet
 29,67    TL     RV       gap(R to V) on the cipher alphabet = gap(T to L) on the plain alphabet
 30,68    HI     NT       gap(N to T) on the cipher alphabet = gap(H to I) on the plain alphabet
 31,69    EN     GT       gap(G to T) on the cipher alphabet = gap(E to N) on the plain alphabet
 32,70    AC     KM       gap(K to M) on the cipher alphabet = gap(A to C) on the plain alphabet
 33,71    SL     SZ       gap(S to Z) on the cipher alphabet = gap(S to L) on the plain alphabet
 34,72    TO     SF       gap(S to F) on the cipher alphabet = gap(T to O) on the plain alphabet

Every cipher alphabet is filed by its gaps; every plain alphabet looks up the gaps it needs.
7

Hypothesis, for a cryptanalyst

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

F14.1 (0244): two dictionary keyword alphabets with a free periodic key, exact. One of 52 (length, form) cells had K4 above all 50 copies in its fit count (5 against 4), with readings below the copies' best by English (-7.91 against -7.63). Pre-registered: the cell flags only if K4's count is reached by fewer than 5% of 1,000 fresh shuffles after the 52-cell correction, p < 0.05/52 = 0.00096, on either count.

8

Prediction

Written before the run; the result decides it.

Several percent of fresh shuffles reach 5 or more pairs at 16/added: p well above 0.001, not a flag.

9

Method

  1. 0244's index search at key length 16, both forms, no key-word step needed (16-letter keys are fully forced).
  2. K4 and 1,000 fresh shuffles; per text the number of fitting pairs and of distinct cipher alphabets among them.
  3. p = (1 + shuffles at or above K4) / 1,001, per count; flag below 0.00096.
10

Result and bounds

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

5candidates returned
0passed every gate
24/24known letters, best
3.2%lowest loss
nonechampion before

All 5 candidates, lowest loss first.

1failed at resubmitted24/24 known lettersloss 3.2%
ECDMRIPFEIMEHNLSSTTRTVDOHW?KVXC
CXHPKGLNYPWRRYQFBEASTNORTHEASTE
IBHVVNNPTPYTMBJGPLYWHAVISBUCBER
LINCLOCKIHOYTJNLRJRFTDMPDAPYANP

2failed at resubmitted24/24 known lettersloss 3.3%
ECDMRIPFEIMEHNLSSTTRTVDOHW?KVXC
CXZPKHLNYOWRRYQFBEASTNORTHEASTE
IBZVVNNPTPFTMBJHPLYWZAVISBACBER
LINCLOCKIZOFTJNLRJRFTDMPDAPFANP

3failed at resubmitted24/24 known lettersloss 3.3%
ECDMRIPFEIMEHNLSSTTRTVDOHW?KVXC
CXZPKHLNYOWRRYQFBEASTNORTHEASTE
IBZVVNNPTPFTMBJHPLYWZAVISBACBER
LINCLOCKIZOFTJNLRJRFTDMPDAPFANP

4failed at resubmitted24/24 known lettersloss 3.4%
ECDMRIPFEIMEHNLSSTTRTVDOHW?JVXC
AXPNJHLMZLWRRZQFDEASTNORTHEASTE
IDPVVMNNTNGTKBHGNYZWPAWISBBCBER
LINCLOCKIPOGTHMLRHSFTDKQDANGAMN

5failed at resubmitted24/24 known lettersloss 3.5%
ECDMRIPFEIMEHNLSSTTRTVDOHW?CGBD
EWKNHHYPZKVEOJYGFEASTNORTHEASTT
IFZBBKNCTVFSMVFVMYJGLZAICEDIBER
LINCLOCKIKMFSLRMROKBDFJQNUVFDZI

16/added: K4 5 pairs (2 cipher alphabets), p 0.00899 / 0.03796 against 1000 fresh shuffles; flag False

What was searched, as the harness recorded it.

item
F14.1 replication
key length
16
copies
1,000
seed
245
alpha corrected
0.001
cells
added
k4 pairs
5
k4 distinct cipher alphabets
2
p pairs
0.009
p distinct
0.038
copies with any
120
copies max pairs
16
copies pairs histogram
0
880
1
78
2
22
3
9
4
3
5
4
7
1
8
1
10
1
16
1
beaufort
k4 pairs
0
k4 distinct cipher alphabets
0
p pairs
1
p distinct
1
copies with any
106
copies max pairs
17
copies pairs histogram
0
894
1
68
2
18
3
6
4
4
5
3
6
1
7
2
8
1
9
1
12
1
17
1
flag
no
alphabets
208,064
compute seconds
36
k4 readings
  1. HOLOZOIC, AEOLOTROPISM, KVXCCXHPKGLNYPWRRYQFBEASTNORTHEASTEIBHVVNNPTPYTMBJGPLYWHAVISBUCBERLINCLOCKIHOYTJNLRJRFTDMPDAPYANP
  2. OCYROIDAE, DIOPTROMETRY, CGBDEWKNHHYPZKVEOJYGFEASTNORTHEASTTIFZBBKNCTVFSMVFVMYJGLZAICEDIBERLINCLOCKIKMFSLRMROKBDFJQNUVFDZI
  3. OLOGICAL, AEOLOTROPISM, KVXCCXZPKHLNYOWRRYQFBEASTNORTHEASTEIBZVVNNPTPFTMBJHPLYWZAVISBACBERLINCLOCKIZOFTJNLRJRFTDMPDAPFANP
  4. POLYOPIC, AEOLOTROPISM, JVXCAXPNJHLMZLWRRZQFDEASTNORTHEASTEIDPVVMNNTNGTKBHGNYZWPAWISBBCBERLINCLOCKIPOGTHMLRHSFTDKQDANGAMN
  5. ZOOLOGIC, AEOLOTROPISM, KVXCCXZPKHLNYOWRRYQFBEASTNORTHEASTEIBZVVNNPTPFTMBJHPLYWZAVISBACBERLINCLOCKIZOFTJNLRJRFTDMPDAPFANP

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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