“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.
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.
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.
Take the word BERLIN: its letters in alphabetical order number B1 E2 I3 L4 N5 R6... as columns.
Write ABCDEFGHIJKLMNOPQRSTUVWXYZ four times into rows of 6.
Copy out column 1 (under B), then column 2 (under E), and so on: that is the key.
Start it anywhere; on the sculpture's table, each known letter needs one key letter at its place.
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
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
Every distinct column order from dictionary and vocabulary words of 2-32 letters.
For each order, alphabet (standard, KRYPTOS) and n = 1-8: the stream.
Every start and table rule: all 24 known letters must agree (compiled).
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.
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
keyword
MORPHOPLASM
alphabet
kry
n
4
start
96
rule
std/beau
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.