Experiment 192

“F11.4: Friedman's keyed alphabet box (MC III 35b): the alphabet written n times into a rectangle as wide as a keyword, read out in the keyword's column order as the key stream; every dictionary keyword: exact”

F11.4. Friedman, Military Cryptanalytics III par. 35b (report reports/Scheidt patents and field ciphers.md, issue #9): a keyword's numerical order is used as a columnar key on a rectangle holding the normal alphabet repeated an agreed number of times; the column read becomes the key stream. Here: the standard or KRYPTOS alphabet repeated 1-8 times, every distinct column order of the dictionary and vocabulary words of 2-32 letters, the stream used cyclically from every start, 8 table rules (Vigenere, Beaufort, variant, Bury's reciprocal on standard or KRYPTOS numbering); each setting checks all 24 known letters (compiled). K4 against 10 shuffled copies; plants. A free table (the report's partition test) is not run.

revertedstatus
experiment 191parents
26 stime, all phases
0candidates
0/24known letters
unclocked
1

The experiment method

What the method does with the 24 known letters.

Friedman taught a way to make a long key from one word: write the alphabet several times into a grida grid Writing the message into rows of some width and reading it out in another order, column by column for instance, which shuffles the letters without changing them. as wide as the word, then copy the columns out in the word's alphabetical order. That jumbled alphabet is the keythe secret word The word or string a cipher needs besides the method.. Only the word and the number of repeats need remembering. We try every dictionary word.

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 ACCENTone column order of 163,726: BERLIN, the alphabet once in rows of 6, the columns read in the word's order1B2E6R4L3I5NABCDEFGHIJKLMNOPQRSTUVWXYZthe key: column 1, then 2, and so onAGMSYBHNTZEKQWDJPVFLRXCIOUstarted at any letter, added to the message on one of 8 tables; the alphabet may also be the KRYPTOS order and repeated up to 8 timessettings where all 24 known letters agree, of 2,451,960,576 per textK410PPno setting fitssome settings fitK4 0, ten scrambled copies 0, the two planted texts (P) 62 and 26the same box on a table in any order (the report's partition test) is not runOUT: NO READING; NO WORD'S ALPHABET BOX KEYS K4EASTNORTHEASTBERLINCLOCK
the idea

Friedman taught how to make a long key from one remembered word: write the alphabet several times into a grid as wide as the word, copy the columns out in the word's alphabetical order.

the check

Every column order a dictionary word gives, the standard or KRYPTOS alphabet repeated 1-8 times, every starting letter, eight tables; all 24 known letters must agree.

the bound

Nothing fits K4 or any scrambled copy in 2.45 billion settings; planted texts are found. F11.4 closed.

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 the word BERLIN: its letters in alphabetical order number B1 E2 I3 L4 N5 R6... as columns.
  2. Write ABCDEFGHIJKLMNOPQRSTUVWXYZ four times into rows of 6.
  3. Copy out column 1 (under B), then column 2 (under E), and so on: that is the key.
  4. Start it anywhere; on the sculpture's table, each known letter needs one key letter at its place.
  5. One disagreement ends the setting. Every word, repeat count, start and table; then scrambled copies.
the worksheet: the first steps by hand, on squared paper
BERLIN'S ALPHABET BOXThe alphabet four times in rows of 6;BERLIN numbers its columns B1 E2 R6 L4I3 N5. Reading column 1, then 2, ...gives AGMSYEKQWCIOUAGMSYBHNTZFLRXDJPV... as the key.Started at any of its 104 letters, thekey must give each known letter's neededkey letter at its place, on one of eighttables.
4

Worked example, generated

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

BERLIN, the alphabet four times in rows of 6, columns read in BERLIN's order: AGMSYEKQWCIOUAGMSYBHNTZFLRXDJPVBHNTZEKQWCIOUAGMSYEKQWDJPVBHNTZFLRXDJPVFLRXDJPVBHNTZFLRXCIOUAGMSYEKQWCIOU
5

Hypothesis, for a cryptanalyst

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

A9, F11: a keyword-only key stream from Friedman's training texts, the kind of rule a CIA cryptographer of Scheidt's generation learned; 'a matrix, then the table' (C1). Model: stream s = columnar_read(alphabet^n, keyword order), k_i = s[(o + i) mod 26n], c = T(p, k). Statistic: fitting settings, K4 against copies.

6

Prediction

Written before the run; the result decides it.

No setting fits all 24 known letters on K4 or on the copies; plants are found. Zero candidates.

7

Method

  1. Every distinct column order from dictionary and vocabulary words of 2-32 letters.
  2. For each order, alphabet (standard, KRYPTOS) and n = 1-8: the stream.
  3. Every start and table rule: all 24 known letters must agree (compiled).
  4. K4 against 10 shuffled copies; two plants.
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

163,726 column orders; fits K4 0 (copies 0-0); plants [62, 26]

What was searched, as the harness recorded it.

family
Friedman's keyed alphabet box (MC III 35b): alphabet (std/KRYPTOS) x n (1-8) by rows, read by keyword column order, every dictionary keyword, every start, 8 tables, exact
column orders
163,726
settings per text
2,451,960,576
fits
k4
0
copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
plants
62, 26
plants
  1. keyword
    MORPHOPLASM
    alphabet
    kry
    n
    4
    start
    96
    rule
    std/beau
  2. keyword
    FORSAKENNESS
    alphabet
    std
    n
    6
    start
    149
    rule
    kry/recip25
k4 hits
none
copies
10 shuffled copies (seed 1920)
seconds
25
exhaustive
yes

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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