Problem 19 solution — crackciphers.com

The result is a recovered 68-word dispatch. Bascom relays instructions from Cox to Milroy: Kelley has been ordered to remain ready for movement under army headquarters, and Milroy must account for that restriction when issuing orders to his detachments. This was recovered by finding an unknown reading route, without a supplied plaintext. The manuscript alternatives, uncertain year, and unresolved publication priority remain part of the result.[2]

Before knowing the answer, the sheet offers a useful structural clue. It contains 79 transmitted tokens, mostly ordinary English words. Set aside the opening Turkey and the remaining 78 divide into six blocks of thirteen. Treat each block's last word as a check and twelve words remain in each block. That gives 72 words for a rectangle twelve rows high and six columns wide. This was the registered family of possibilities, not a geometry selected after reading a promising sentence.

Why the rectangle is not the answer

Knowing the dimensions leaves the order of six columns and the direction of each unresolved. There are 6! possible column orders and 2⁶ choices of up or down, or 46,080 routes in this family. Each one returns ordinary English words because the cipher changes their positions, not their spelling. A wrong route does not produce impossible letters. It produces real words in the wrong relations.

The source also has four disputed words. At transmitted positions 13, 43, 68, and 78, the held transcript reads general, move, hold, nice; the independent image-first record reads guard, more, holds, vice. All sixteen combinations were registered before scoring. The program was not allowed to keep only whichever spelling improved the sentence.[3]

An earlier campaign stopped after eleven of a planned twenty-four qualification examples. Its statement that the historical telegram was never scored is true of that earlier pause. It is superseded by the September run: all twenty-four qualification examples passed before the separate historical adapter ran. The page records the completed result rather than carrying the old unexecuted-target label forward.

Route that survived every source variant

The frozen search used word-based screening of the full route family followed by the existing language-model reranking and masked-word scoring stages. Such scores favor coherent English, but they do not certify an answer. Here every one of the sixteen source variants selected the same route. Its internal identifier was 2290, with the explicit rule 1-3-4-6-5-2 | UUDDUD. The route itself, rather than that software identifier, is what lets a reader reproduce the result.

Number the six transmitted twelve-word blocks from one to six. Plaintext columns one through six receive transmitted blocks 1, 3, 4, 6, 5, 2. Put the words of blocks 1, 3, and 5 into their columns from bottom to top; put blocks 4, 6, and 2 in from top to bottom. Then read the completed rectangle across each row, from left to right.

Reconstructed rectangle

Brackets contain the independently recorded source alternatives. They are not corrections selected from the recovered meaning.

Plaintext column	Transmitted block	Placement
1	1	Bottom to top
2	3	Bottom to top
3	4	Top to bottom
4	6	Top to bottom
5	5	Bottom to top
6	2	Top to bottom

1	2	3	4	5	6
general [guard]	Kelley	having	received	directions	from
general	Halleck	to	hold [holds]	himself	in
readiness	to	move [more]	under	orders	from
army	head	quarters	this	will	interfere
with	movements	at	present	Except	such
as	are	immediately	and	pressingly	necessary
give	such	orders	to	your	detachments
as	will	best	provide	against	contingencies
and	keep	general	Kelley	and	these
head	quarters	fully	informed	of	the
enemys	movements	by	command	of	major
general	Cox	End	nice [vice]	day	this

Recovered dispatch

General [source alternative: guard] Kelley, having received directions from General Halleck to hold [holds] himself in readiness to move [more] under orders from army head quarters, this will interfere with movements at present except such as are immediately and pressingly necessary. Give such orders to your detachments as will best provide against contingencies and keep General Kelley and these head quarters fully informed of the enemys movements. By command of Major General Cox.

Punctuation and sentence capitalization are editorial. The source spelling enemys and the separate words head quarters are preserved. The message ends after Cox, at position 68 in the reconstructed rectangle. Four cells remain: End [nice|vice] day this. Interpreting End as the message terminator and the next three words as padding is plausible, but no recovered instruction establishes that interpretation.

Every transmitted token

The table retains all 79 wire positions. The 72 placed words receive a row, column, and reading position. Turkey and the six block-ending words are kept explicitly as framing under the registered convention. They are not words the solver quietly discarded after seeing the answer.

Wire position	Source word	Source alternative	Row, column	Reading position	Role
1	Turkey				Indicator
2	general		12, 1	67	Message
3	enemys		11, 1	61	Message
4	head		10, 1	55	Message
5	and		9, 1	49	Message
6	as		8, 1	43	Message
7	give		7, 1	37	Message
8	as		6, 1	31	Message
9	with		5, 1	25	Message
10	army		4, 1	19	Message
11	readiness		3, 1	13	Message
12	general		2, 1	7	Message
13	general	guard	1, 1	1	Message
14	bully				Block check
15	from		1, 6	6	Message
16	in		2, 6	12	Message
17	from		3, 6	18	Message
18	interfere		4, 6	24	Message
19	such		5, 6	30	Message
20	necessary		6, 6	36	Message
21	detachments		7, 6	42	Message
22	contingencies		8, 6	48	Message
23	these		9, 6	54	Message
24	the		10, 6	60	Message
25	major		11, 6	66	Message
26	this		12, 6	72	Probable padding
27	chap				Block check
28	Cox		12, 2	68	Message
29	movements		11, 2	62	Message
30	quarters		10, 2	56	Message
31	keep		9, 2	50	Message
32	will		8, 2	44	Message
33	such		7, 2	38	Message
34	are		6, 2	32	Message
35	movements		5, 2	26	Message
36	head		4, 2	20	Message
37	to		3, 2	14	Message
38	Halleck		2, 2	8	Message
39	Kelley		1, 2	2	Message
40	tight				Block check
41	having		1, 3	3	Message
42	to		2, 3	9	Message
43	move	more	3, 3	15	Message
44	quarters		4, 3	21	Message
45	at		5, 3	27	Message
46	immediately		6, 3	33	Message
47	orders		7, 3	39	Message
48	best		8, 3	45	Message
49	general		9, 3	51	Message
50	fully		10, 3	57	Message
51	by		11, 3	63	Message
52	End		12, 3	69	End marker, interpreted
53	rope				Block check
54	day		12, 5	71	Probable padding
55	of		11, 5	65	Message
56	of		10, 5	59	Message
57	and		9, 5	53	Message
58	against		8, 5	47	Message
59	your		7, 5	41	Message
60	pressingly		6, 5	35	Message
61	Except		5, 5	29	Message
62	will		4, 5	23	Message
63	orders		3, 5	17	Message
64	himself		2, 5	11	Message
65	directions		1, 5	5	Message
66	daily				Block check
67	received		1, 4	4	Message
68	hold	holds	2, 4	10	Message
69	under		3, 4	16	Message
70	this		4, 4	22	Message
71	present		5, 4	28	Message
72	and		6, 4	34	Message
73	to		7, 4	40	Message
74	provide		8, 4	46	Message
75	Kelley		9, 4	52	Message
76	informed		10, 4	58	Message
77	command		11, 4	64	Message
78	nice	vice	12, 4	70	Probable padding
79	finis				Block check

Checks that could have failed

Independent inverse encoding put the reconstructed rectangle back on the wire, adding the retained indicator and block checks. It reproduced all 79 source tokens for every registered source variant. This checks placement and accounting; by itself it cannot establish that a reversible route is the historically intended one.

The separate comparison asked whether the complete scoring procedure would find an equally strong result after the payload positions were randomly shuffled. Each of 199 shuffles used the same rearrangement across all sixteen source variants and reran the frozen pipeline, comparing the best result across the whole family. None of the 199 shuffled families matched or exceeded the observed score. The registered calculation therefore gives (1 + 0) / 200 = 0.005. All 3,200 observed and comparison fits completed, and the coordinator independently recomputed the family maxima and checked the saved fit-file hashes.[2]

That number describes this finite comparison under its declared randomization assumptions. It is not a 99.5 percent probability that the decipherment is correct, does not cover every earlier campaign search, and says nothing about first publication. Coherent content, one route across all source alternatives, complete inverse encoding, and historical correspondence are separate reasons to accept the reading.

Dating the sheet

The catalogue says 4 December 1861. The manuscript's visible dateline does not clearly supply a year. Contemporary correspondence strongly favors 1862: on 3 December 1862 Halleck asked Kelley to be ready for movement; Kelley then wrote Bascom at Charleston explaining why Milroy's proposed movement had to await Halleck's orders. Those telegrams are printed in the Official Records, series I, volume XXI, page 825. Pages 829 and 830 continue the related December 4 correspondence. They fit the recovered chain of instructions, but none is a duplicate of this message.[4]

The rank is consistent with the same concern: a repository description of Cox's 24 December 1861 letter calls him brigadier general, while the recovered closing here says major general. That supports the dating question but does not settle it. Until an original-year notation or a dated duplicate is inspected, the date must remain “1861 in the catalogue; probably 1862.”

What is not claimed

Publication priority remains unresolved. A candidate-led screen found no matching plaintext or target-specific published solution in 876 text objects and twenty web queries. The objects comprised 228 Official Records OCR witnesses, 643 Cryptiana texts, Plum volumes I and II, Bates, Weber's Masked Dispatches, and Noyalas's 2003 thesis. Several objects represent the same publication, so this is not 876 independent books. Thirty-five retained fuzzy-match contexts were inspected and rejected as other documents.[5]

The later Google Books inspection of Noyalas's 2006 biography narrowed one gap but did not close it. Selected index entries and parts of pages 73–77 were inspected, including all of pages 75–76. Searches for Bascom and “pressingly necessary” returned no displayed hits. These are preview results, not a full-book negative. The four Paulus volumes and unviewed parts of Noyalas remain outside full-text coverage. In particular, Paulus volume I, printed pages 130–147, is a specific outstanding source request, not an inspected source.[6]

The four manuscript alternatives are not resolved by the route. Agreement on the route shows that those alternatives do not change the structural result. It does not prove that a modern transcription is right wherever its grammar is better. Higher-resolution archival masters or a duplicate could settle the pen strokes. The meaning of the four final cells, the exact year, and any first-ever decipherment claim remain qualified. This is a successful project decipherment with a reproducible route and a bounded prior-publication search.

Seventy-nine transmitted words, one recovered route

Finding a message among ordinary words