Experiment 191

“F11.3: the CIA's Polish agent key box: a key text written into a box by rows and read out by columns, then a reciprocal or other table; K1-K3, the Morse and Carter's book as key texts: exact”

F11.3. Bury (Cryptologia 2007, via scz.bplaced.net 9.2): the agent writes a verse row by row into a 10 x 10 box, reads it out by columns, and combines the result with the message through a 26 x 26 reciprocal table (p + k + c = 25). The report's scratch check (K1-K3, best 7 of 24, no controls) is rerun with controls and widened: key texts K1, K2, K3 and K1-K3 joined, the Morse, and Carter's 1923 book (K3's source); box widths 2-50, rows as many as 97 letters need; columns read left to right, right to left, bottom to top, or in a vocabulary keyword's order; tables: Bury's reciprocal, Vigenere, Beaufort and variant, numbered on the standard or KRYPTOS order; every start in the key text. Each setting checks all 24 known letters (compiled); K4 against 10 shuffled copies.

revertedstatus
experiment 190parents
11 stime, all phases
0candidates
0/24known letters
unclocked
1

The experiment method

What the method does with the 24 known letters.

The CIA's agents in 1970s Poland took a line of a book, wrote it into a square box row by row, copied it out column by column, and used that jumble as the keythe secret word The word or string a cipher needs besides the method. on a letter table. Sanborn's 'matrix, then the tablethe table The right-hand half of the sculpture, 26 rows of the alphabet each shifted one place further, starting from the word KRYPTOS.' fits this well. We try the sculpture's own texts and the Carter book behind K3the earlier messages The three solved parts of the sculpture. as the key text, every box width, every starting point.

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 ACCENTsettings where all 24 known letters agree, by key text (732,076,800 at most per text)K2 as the key textK410PP676,160 settings; most known letters any setting gives: K4 8 of 24, copies 7-8K3 as the key text591,680 settings; most known letters any setting gives: K4 9 of 24, copies 7-9K1-K3 joined as the key text1,697,600 settings; most known letters any setting gives: K4 9 of 24, copies 7-9Carter's book (1923) as the key text729,111,360 settingsK1 as the key texttoo short to fill a box: not runthe Morse as the key textno setting fitsa setting fitstoo short to fill a boxtoo short to fill a box: not runeach row: K4, ten scrambled copies, then the two planted texts (P), one keyed from K2, one from CarterOUT: NO READING; NO BOX OF THE SCULPTURE'S TEXTS OR CARTER'S BOOK KEYS K4EASTNORTHEASTBERLINCLOCK
the idea

CIA agents in 1970s Poland wrote a line of a book into a box by rows, copied it out by columns, and used that as the key on a letter table: a remembered rule, a matrix, then the table, close to Sanborn's own words.

the check

K1-K3 and Carter's book as the key text, every box width from 2 to 50, columns in several orders, Bury's reciprocal table and three others on the standard or KRYPTOS order, every starting letter; all 24 known letters must agree.

the bound

No setting fits K4 or any of ten scrambled copies; the best partial agreement on K4 is what the copies reach too. Planted texts are found. F11.3 closed for these key texts.

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 K2's plaintext from its 40th letter and write it into a box 10 wide, row by row.
  2. Read it out column by column: the first 10 letters of the key come from the first column, and so on.
  3. Place 22 of the message takes the key letter in column 3, row 2 of the box.
  4. On Bury's table, E over the carved F needs one particular key letter; check whether the box gives it.
  5. Every start, width, column order and table, on K4 and on scrambled copies.
the worksheet: the first steps by hand, on squared paper
A BOX OF K2K2 from its 40th letter, written 10 to arow, read down the columns:EATHIENDOLYRIEORSEAOU... At place 22 thebox gives T; Bury's table (plain + key +cipher = 25) needs Q for E over F.One disagreement ends that setting.Across 732 million settings per textnothing agrees at all 24 places, on K4or on the copies.
4

Worked example, generated

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

K2 from its 40th letter in a box 10 wide, read by columns: key stream EATHIENDOLYRIEORSEAOUTCINEMRNCSHFNWDIGUAESIFAATRNTDMEOSNTUKITALRGDEUNOHGDMATDNONENXATRUDWXEETTHAN

place 22: box gives T, Bury's table needs Q for E over F
place 23: box gives C, Bury's table needs O for A over L
place 24: box gives I, Bury's table needs Q for S over R
place 25: box gives N, Bury's table needs L for T over V
place 26: box gives E, Bury's table needs W for N over Q
place 27: box gives M, Bury's table needs V for O over Q
5

Hypothesis, for a cryptanalyst

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

A9, F11: the CIA's own documented 1970s agent system, a remembered rule, 'a matrix, then the table' (C1). Model: key stream k_i = T[o + r_i w + col(j_i)], j_i = i div h, r_i = i mod h (h = ceil(97 / w)), then c from p and k by the table rule. Exact: a setting fits only if all 24 known letters agree. Statistic: fitting settings and, for the short key texts, the best number of agreeing known letters, K4 against 10 copies; plants.

6

Prediction

Written before the run; the result decides it.

No setting fits all 24 known letters on K4 or on the copies; the best partial agreement on K4 lies inside the copies' range (about 7-8 of 24). Zero candidates.

7

Method

  1. Key texts: K1, K2, K3, K1-K3 joined, the Morse, Carter's book.
  2. For each width 2-50 and column order: the offset of each known place's key letter from the start.
  3. For each table rule and text: the key letter each known place needs.
  4. Every start: fit if all 24 agree (compiled); best agreement for the short key texts.
  5. 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

K1: fits K4 0 (copies 0-0, plants [0, 0]), best K4 0/24 (copies 0-0); K2: fits K4 0 (copies 0-0, plants [1, 0]), best K4 8/24 (copies 7-8); K3: fits K4 0 (copies 0-0, plants [0, 0]), best K4 9/24 (copies 7-9); K1-K3: fits K4 0 (copies 0-0, plants [1, 0]), best K4 9/24 (copies 7-9); Morse: fits K4 0 (copies 0-0, plants [0, 0]), best K4 0/24 (copies 0-0); Carter 1923: fits K4 0 (copies 0-0, plants [0, 1])

What was searched, as the harness recorded it.

family
key box: key text by rows, read by columns (widths 2-50, natural, reversed, bottom-up, vocabulary keyword orders), then Bury's reciprocal / Vigenere / Beaufort / variant on std or KRYPTOS numbering; every start; exact
readings
320
rules
8
settings per text
732,076,800
per source
K1
settings
0
fits k4
0
fits copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
fits plants
0, 0
best hits k4
0
best hits copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
K2
settings
676,160
fits k4
0
fits copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
fits plants
1, 0
best hits k4
8
best hits copies
7, 7, 8, 7, 8, 8, 7, 8, 8, 8
K3
settings
591,680
fits k4
0
fits copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
fits plants
0, 0
best hits k4
9
best hits copies
7, 7, 8, 8, 7, 7, 7, 9, 8, 8
K1-K3
settings
1,697,600
fits k4
0
fits copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
fits plants
1, 0
best hits k4
9
best hits copies
8, 8, 8, 8, 8, 8, 7, 9, 8, 9
Morse
settings
0
fits k4
0
fits copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
fits plants
0, 0
best hits k4
0
best hits copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Carter 1923
settings
729,111,360
fits k4
0
fits copies
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
fits plants
0, 1
best hits k4
None
best hits copies
None
k4 fits
none
plants
  1. source
    K2
    reading
    width 10, columns left to right
    start
    255
    rule
    std/recip25
  2. source
    Carter 1923
    reading
    width 17, columns right to left, bottom to top
    start
    191,483
    rule
    kry/beau
copies
10 shuffled copies (seed 1910)
seconds
11
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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