“Double columnar with the same English word both times, with a repeating key before or after”
0084 and 0085 tested double columnar with two keys from the puzzle's words; the dictionary is too large for every pair. The classic field double transposition uses one key word twice, which the whole dictionary allows. Here every dictionary word (true keyword order, repeats dropped or whole word) keys both passes, forward and inverse, with a repeating key of length 1-26 after or before.
Soldiers once enciphered by shuffling columns under a secret word, then doing it again with the same word, which is easy to remember. Here every word in an English dictionary is used that way, twice in a row, with a short repeating secret word on 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. before or after, against 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..
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 shuffle
The double column shuffle was the classic hand cipher of the 20th century, and often used one key word twice. Here every dictionary word is that word, the shuffle run twice and also undone.
the check
After both shuffles a repeating secret word on the table must give the copper's letters where the known letters landed; two known letters in one slot of the word must agree.
the bound
459,267 routes, keys of 1 to 26 letters before or after: nothing below period 22, and every count sits inside the range of ten scrambled coppers.
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.
SHADOW gives the column order 3, 4, 2, 5, 1, 6.
Write the 97 letters in rows of 6, read the columns in that order; write the result in rows of 6 again and read it the same way.
Each known letter lands at a new place; with a key of length p after the move, letters sharing a slot must agree.
Repeat for every word, key length and rule, and with the key before the move.
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.
SHADOW twice: columns read in the order [3, 4, 2, 5, 1, 6], then again
place letter after one after two copper there
22 E 20 36 T
23 A 52 25 V
24 S 85 79 Z
25 T 69 12 L
64 B 27 5 U
5
Hypothesis, for a cryptanalyst
Family, key space, the constraint under test, and the clues it reads.
Type 1 (C1: 'double matrixes'); the U.S. Army double transposition used one key for both passes, and Scheidt taught field methods (C5: 'simple, can be remembered'). Routes: the 229,634 distinct column orders of 0110, each applied twice, forward and inverse, deduplicated. Key: periodic 1-26 after the move (slot = carved place mod p) or before it, 8 tableau classes, exact by slot agreement. Ten shuffled coppers.
6
Prediction
Written before the run; the result decides it.
Nothing consistent below period 20; counts inside the coppers' range, give or take one period. Zero candidates.
7
Method
Turn every dictionary word into its two column orders; drop repeats.
Apply each twice and take the inverse.
Test periods 1-26 in both orders and 8 classes by slot agreement.
Count per period on K4 and ten shuffled coppers.
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
229,634 distinct column orders from 234,428 words, 459,267 routes x 8 classes x 2 orders, periods 1-26. K4 live below 20: 0. Outside the control range: {'A': [], 'B': []}.
What was searched, as the harness recorded it.
family
double keyword columnar with the same dictionary word twice, then or before a periodic tableau key