Route Transposition and Phenomenon

Re: Route Transposition and Phenomenon

Postby smokie treats » Sun Mar 19, 2017 7:08 pm

I am going to make 6 test messages.

Smokie55ABC have 17 x 20 inscription rectangles LRTB, reading the symbols off vertically TBLR, and transcribing into a 17 x 20 transcription rectangle. One polyphone and cycles about the same as the 340. There are no nulls, so I want to see what happens with the "symbol as null" detector spreadsheet suite.

Smokie55A ( 59 symbols )

1 2 3 4 5 6 7 8 9 10 7 11 12 8 13 14 15
16 17 18 7 19 20 21 22 23 24 25 26 27 8 7 28 11
17 29 30 31 32 22 33 1 34 35 36 37 38 39 17 17 40
39 24 41 16 2 42 26 2 18 43 4 44 9 45 46 12 17
13 22 15 27 19 47 31 7 48 23 26 35 40 21 14 3 7
49 50 51 32 45 30 36 27 14 29 17 20 49 26 25 36 52
27 17 49 24 28 15 17 33 42 13 14 32 2 39 52 8 11
35 37 12 18 25 20 13 28 16 40 17 48 3 20 36 7 27
12 33 47 36 42 17 24 5 21 4 53 19 14 16 9 17 54
37 15 17 55 28 37 56 35 13 46 33 28 10 7 1 40 19
38 50 41 35 32 31 34 54 44 26 18 49 12 12 52 23 39
22 36 7 51 44 2 20 5 8 28 17 21 13 39 17 32 47
17 1 18 20 28 2 27 42 11 30 10 17 37 16 18 57 5
21 18 39 30 37 43 21 7 13 2 17 17 1 4 25 52 15
3 14 56 20 55 23 11 13 26 46 36 2 41 31 30 38 40
57 5 49 30 40 17 54 31 16 48 46 9 17 16 22 43 7
35 17 10 55 21 17 52 24 47 2 34 4 11 18 25 58 42
3 25 48 54 56 24 20 45 26 17 39 30 22 15 37 12 52
17 18 33 5 31 11 17 38 13 40 27 57 59 14 45 26 6
6 9 28 50 10 47 25 17 39 34 24 23 53 36 39 20 4

There are 65 period 20 bigram repeats. Checking for symbols, when removed, increase bigram repeats, symbol 6 does that and increases repeats to 67.

1 56
2 44
3 48
4 44
5 44
6 67
7 37
8 44
9 41
10 53
11 42
12 38
13 38
14 44
15 37
16 36
17 22
18 41
19 42
20 34
21 44
22 44
23 57
24 39
25 53
26 39
27 38
28 29
29 59
30 49
31 50
32 51
33 45
34 56
35 32
36 41
37 44
38 59
39 37
40 47
41 55
42 38
43 52
44 51
45 43
46 46
47 51
48 46
49 47
50 57
51 61
52 49
53 55
54 41
55 56
56 54
57 60
58 61

However, when checking for two symbol combinations, only one combination tests positive. Symbols 38 and 50. Smokie55A does not behave as the 340.

search.for.nulls.9.png
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Re: Route Transposition and Phenomenon

Postby smokie treats » Mon Mar 20, 2017 7:37 am

Smokie55B has 56 symbols and base count of period 20 repeats is 70.

1 2 3 4 5 6 7 8 9 10 11 12 2 13 14 15 16
2 17 18 16 19 20 2 21 3 1 22 23 24 25 20 26 23
12 27 28 29 2 30 7 31 2 32 5 33 31 23 34 35 12
36 37 38 39 22 2 18 40 3 25 27 34 37 11 14 12 18
8 41 42 26 33 2 43 44 25 45 14 31 2 45 1 46 18
44 7 37 21 47 4 13 35 29 40 48 26 49 18 27 3 3
23 14 32 50 20 23 22 31 2 33 40 31 27 21 47 23 5
8 7 25 29 35 51 1 36 18 16 52 22 50 17 27 45 24
50 1 2 11 31 44 44 7 15 47 37 13 37 14 2 43 6
21 51 30 35 45 17 27 25 34 3 23 17 7 8 33 2 10
32 37 44 52 47 40 44 15 8 13 9 36 27 18 44 28 31
38 3 2 27 48 27 14 5 12 3 52 2 24 6 11 30 51
27 8 29 21 47 30 14 26 51 44 12 25 19 16 53 39 10
32 47 1 46 2 53 11 20 40 33 35 17 3 47 45 51 38
23 36 2 34 5 2 8 27 2 22 26 29 39 28 43 19 37
32 30 31 44 16 11 5 23 37 31 45 45 8 43 7 31 15
18 12 16 15 54 2 2 3 52 21 7 2 37 15 46 2 17
43 31 28 6 25 18 11 31 26 53 19 45 24 8 30 35 45
2 55 42 32 3 1 33 2 26 32 43 34 21 24 56 12 30
22 3 47 7 2 6 5 27 43 15 40 27 23 4 16 22 2

Several symbols when removed increase repeats.

1 66
2 34
3 51
4 70
5 60
6 54
7 71
8 43
9 53
10 55
11 60
12 53
13 59
14 47
15 57
16 62
17 50
18 51
19 55
20 66
21 56
22 70
23 43
24 74
25 51
26 57
27 45
28 59
29 62
30 69
31 49
32 72
33 68
34 71
35 60
36 58
37 53
38 64
39 67
40 58
41 70
42 78
43 66
44 49
45 68
46 57
47 47
48 59
49 67
50 66
51 56
52 53
53 63
54 64
55 76
56 74

There about three dozen combinations, and some correlation between one symbol and two symbol results similar to the 340, but with more one symbol results.

search.for.nulls.10.png
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Re: Route Transposition and Phenomenon

Postby smokie treats » Mon Mar 20, 2017 8:06 am

Smokie55C. 61 symbols and 65 period 20 repeats.

1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 16
17 18 4 19 20 21 22 23 24 25 26 27 19 28 29 30 27
22 31 32 14 33 34 35 12 1 6 29 35 36 37 38 39 8
40 5 2 41 42 4 9 43 44 45 40 32 14 34 12 46 1
39 7 5 17 47 42 39 48 33 44 49 50 1 41 12 19 15
4 51 6 52 45 36 43 37 20 53 29 1 12 32 54 55 10
2 27 12 34 20 15 12 1 46 56 23 6 17 21 5 8 43
13 23 39 52 28 25 21 29 40 42 51 12 31 57 54 18 2
35 34 58 33 34 3 12 5 4 11 39 31 50 16 20 6 19
24 10 8 29 44 9 35 13 32 35 52 41 27 45 50 51 34
6 15 27 59 11 19 52 9 18 22 40 12 11 14 43 12 3
25 1 31 60 13 28 29 54 10 29 23 6 17 35 57 28 36
55 20 54 2 19 42 34 36 50 12 41 7 8 6 56 31 26
21 52 37 54 6 61 32 49 27 41 37 43 30 10 45 33 25
5 36 1 16 39 38 34 7 45 14 12 28 23 31 51 12 33
3 55 2 20 57 29 29 10 8 1 11 14 6 7 34 45 56
19 52 54 59 61 47 12 38 23 4 46 5 7 27 14 56 17
25 61 53 54 6 13 39 42 18 24 51 12 9 35 16 29 49
26 12 3 2 55 32 21 21 12 36 44 49 34 20 42 37 11
12 14 9 7 31 54 57 5 59 33 41 60 39 34 12 17 29

No one symbol, when removed, increased period 20 repeats.

1 20
2 33
3 52
4 50
5 49
6 32
7 46
8 31
9 46
10 27
11 57
12 24
13 42
14 39
15 41
16 50
17 46
18 54
19 31
20 31
21 38
22 55
23 38
24 57
25 42
26 52
27 33
28 39
29 43
30 53
31 35
32 46
33 50
34 36
35 35
36 29
37 37
38 50
39 54
40 48
41 41
42 43
43 29
44 46
45 38
46 50
47 53
48 61
49 49
50 47
51 49
52 31
53 45
54 29
55 38
56 42
57 53
58 60
59 52
60 51
61 49

And no two symbol combination results in increase in repeats when removed. Smokie55B ( post above ) shows that there can be false positives with one and two symbol removals. Smokie55A and 55C show that there may also be no false positives with the detection.

search.for.nulls.11.png
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Re: Route Transposition and Phenomenon

Postby smokie treats » Mon Mar 20, 2017 10:29 am

Smokie56A has 60 symbols and 65 period 20 repeats. I transcribed around the nulls, which are in exactly the same locations as symbols 1 and 33 in the 340.

1 2 3 4 5 6 7 8 9 10 11 12 8 13 9 7 14
15 6 16 17 18 19 2 20 21 22 23 24 25 26 4 18 27
28 29 30 31 32 33 33 34 35 36 31 27 14 2 37 1 16
38 8 39 2 22 24 40 9 2 23 10 10 8 36 41 5 42
25 37 17 31 43 11 36 44 43 19 37 32 45 46 13 5 35
47 6 40 35 48 33 45 49 16 2 35 10 17 43 15 43 8
42 2 50 35 36 45 26 31 11 6 4 40 18 50 39 51 2
52 10 32 22 29 30 51 16 3 33 28 8 9 42 14 2 12
42 35 50 39 45 53 54 48 40 22 13 38 55 30 23 33 56
31 2 5 10 16 25 29 57 2 16 58 5 7 34 47 15 55
16 2 10 6 28 34 4 59 17 9 14 2 2 19 6 20 2
55 12 15 35 38 45 32 18 2 17 43 5 41 31 30 23 40
31 22 29 51 25 6 30 50 44 58 19 47 42 13 2 10 28
54 35 10 4 37 48 52 38 56 11 18 2 43 45 17 14 31
23 12 26 16 5 33 48 9 32 58 39 2 13 19 7 47 43
34 60 35 38 45 39 9 25 36 54 19 17 18 47 40 28 5
22 7 49 30 19 5 47 53 56 6 43 10 49 13 15 27 8
31 35 27 18 40 21 38 23 31 48 33 1 2 39 28 27 12
7 2 40 5 25 43 4 29 22 18 2 16 10 15 42 2 24
50 2 20 1 11 16 45 10 13 2 17 21 9 19 35 10 31

The nulls are symbols 1 and 27.

search.for.nulls.12.png


Detection worked perfectly this time. Removing either symbols 1 or 27 results in an increase in repeats.
1 68
2 28
3 59
4 46
5 47
6 48
7 56
8 48
9 42
10 39
11 48
12 53
13 49
14 42
15 50
16 37
17 39
18 51
19 35
20 56
21 59
22 50
23 47
24 63
25 44
26 56
27 71
28 49
29 53
30 44
31 40
32 51
33 44
34 53
35 42
36 54
37 50
38 61
39 48
40 44
41 62
42 53
43 54
44 53
45 44
46 55
47 50
48 50
49 61
50 52
51 57
52 61
53 64
54 58
55 54
56 63
57 61
58 60
59 59
60 65

This is fairly interesting. Here are the two symbol combinations that increase repeats, and the results are very similar to the 340 because each of the two symbols identified above share other symbols, that when removed in combination, increase repeats. In other words, 1 - 57, 1 - 60, 27 - 57, and 27 -60.

1 and 57
1 and 58
1 and 60
12 and 53
24 and 56
27 and 57
27 and 60

56 and 57

search.for.nulls.13.png


EDIT: There is only one each of symbols 57 and 60.

search.for.nulls.14.png
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Re: Route Transposition and Phenomenon

Postby Jarlve » Tue Mar 21, 2017 3:30 am

Thanks for the new ciphers and examination smokie.

In my experience. When using a AZdecrypt or bigram null heatmap, one way to tell that there are probably no more nulls is that when improvements flock to the start and/or end of the cipher. Skipping or adding symbols near the start and/or the end of the cipher does not disrupt the periodical transposition as much. Perhaps it is just that.
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Re: Route Transposition and Phenomenon

Postby smokie treats » Tue Mar 21, 2017 5:55 am

Jarlve wrote:Thanks for the new ciphers and examination smokie.

In my experience. When using a AZdecrypt or bigram null heatmap, one way to tell that there are probably no more nulls is that when improvements flock to the start and/or end of the cipher. Skipping or adding symbols near the start and/or the end of the cipher does not disrupt the periodical transposition as much. Perhaps it is just that.


I agree and find it more difficult to make messages with so many repeats when I put nulls closer to the middle of the message instead of at the beginning or end of the message.The distortion area is obviously smaller with nulls in the first or last row. Note that shuffle tests indicate that rows 3 and 18 could be gibberish, and some of the box corner symbols occur in rows 3 and 18. I may make a spreadsheet that detects box corners and start making messages. The box corners would have to occur in the plaintext first, then after diffusion remain. I am really wondering about the chances of the same symbol occurring in two boxes in the same message. I think that they may be Easter Eggs with the pivots.

Smokie36B has 56 symbols and 72 repeats. There are a lot of nulls, including all the same ones as smokie36A and four new ones where symbol 4 occurs in the 340.

1 2 3 4 5 6 3 7 8 9 10 11 12 13 14 15 16
17 18 19 20 21 12 9 22 23 24 25 11 10 26 27 28 29
30 31 32 33 34 35 16 36 30 37 7 29 17 7 14 1 37
38 39 40 41 13 21 7 7 42 10 21 10 43 44 7 21 35
24 45 19 46 17 47 8 41 36 48 38 7 49 42 44 22 50
2 42 7 12 11 21 3 14 18 7 51 26 39 4 9 52 14
17 47 35 34 53 2 41 26 36 45 13 11 7 2 46 53 16
30 42 22 7 13 43 8 24 3 18 28 2 53 30 6 10 47
41 37 43 5 54 3 34 45 55 7 45 5 7 3 21 27 41
5 50 13 18 14 12 31 11 9 30 44 38 34 8 35 34 18
7 32 36 50 7 45 30 17 32 23 27 27 18 10 20 33 6
42 12 16 26 7 5 2 17 34 54 15 40 14 37 11 7 16
45 36 5 32 28 10 56 9 37 3 12 38 45 51 39 7 7
8 13 14 56 37 51 56 18 50 5 30 43 35 53 26 36 50
32 31 2 42 7 11 47 51 17 9 4 41 40 45 15 7 16
14 40 24 5 47 3 36 37 22 47 13 43 14 30 2 9 11
27 16 35 8 7 42 56 27 9 5 23 26 48 30 40 29 24
6 44 29 47 15 43 16 53 7 17 32 1 48 34 14 29 8
7 51 20 25 47 47 10 37 13 7 22 38 19 5 41 56 35
4 53 22 1 36 51 44 56 45 18 10 50 27 7 16 10 15

search.for.nulls.15.png

The nulls are symbols 1, 4 and 29. However, the detection didn't work this time for one symbol, and incorrectly identified symbol 52.

1 63
2 47
3 52
4 70
5 56
6 55
7 27
8 46
9 62
10 61
11 48
12 61
13 49
14 41
15 55
16 47
17 55
18 47
19 61
20 67
21 44
22 58
23 70
24 53
25 62
26 63
27 60
28 64
29 61
30 48
31 54
32 64
33 71
34 45
35 62
36 55
37 51
38 46
39 69
40 53
41 36
42 50
43 44
44 60
45 49
46 59
47 48
48 58
49 63
50 54
51 64
52 76
53 60
54 54
55 58
56 75

The two symbol detector didn't work so well either, but symbol 4 did show up as a possible null when removed with symbols 51 and 56.

search.for.nulls.16.png


EDIT: The repeats went up to 78 when I removed all three nulls. It is possible to have a lot of nulls in a message that has a lot of repeats.
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Re: Route Transposition and Phenomenon

Postby smokie treats » Tue Mar 21, 2017 6:42 am

Smokie56C, 56 symbols and 71 repeats. Nulls are symbols 40 and 44.

1 2 3 4 5 6 7 8 9 6 10 11 5 12 1 13 14
15 16 17 1 18 1 5 19 12 20 21 22 23 3 12 24 25
1 26 27 5 13 28 29 8 4 30 31 32 33 21 1 9 6
2 34 15 35 1 36 10 37 38 18 12 39 11 28 27 33 34
4 36 40 3 25 2 41 33 42 19 14 11 38 43 44 45 27
38 15 1 6 46 41 47 6 9 28 43 48 37 37 49 13 8
48 16 4 21 50 50 38 46 11 12 42 18 23 11 1 10 37
19 10 44 25 1 32 1 13 10 26 6 28 50 1 40 51 1
45 5 52 10 20 22 48 34 27 3 31 15 21 4 53 38 25
54 27 18 27 2 3 11 50 1 47 37 8 2 28 41 11 30
9 2 42 19 42 6 45 13 6 9 55 4 21 10 1 17 1
43 36 31 1 26 44 53 30 5 19 35 40 2 50 18 28 46
25 13 52 1 3 48 1 34 38 16 26 41 17 39 55 18 26
1 12 28 11 20 6 7 8 49 1 50 31 33 1 37 28 27
3 6 19 43 24 23 36 50 19 35 19 37 30 16 28 33 56
8 5 17 9 21 40 31 48 8 1 4 44 10 38 15 51 42
11 2 12 6 15 11 13 11 19 23 1 1 20 38 37 18 13
30 16 5 38 16 9 12 35 53 34 1 5 35 32 49 50 17
45 8 1 11 6 32 8 47 27 1 46 48 41 10 17 43 6
1 32 28 42 46 20 38 12 6 23 53 41 50 31 49 43 19

search.for.nulls.17.png


Removing one symbol resulted in repeat count increases for several symbols, not just symbols 40 and 44.

1 25
2 40
3 55
4 56
5 74
6 41
7 62
8 59
9 65
10 48
11 41
12 48
13 69
14 74
15 44
16 75
17 58
18 48
19 61
20 55
21 53
22 71
23 57
24 63
25 69
26 76
27 46
28 55
29 69
30 55
31 50
32 65
33 64
34 59
35 64
36 59
37 64
38 48
39 61
40 73
41 59
42 64
43 59
44 79
45 70
46 62
47 66
48 65
49 57
50 55
51 66
52 76
53 61
54 65
55 64
56 76

Removing two symbols, symbol 44 shows up strong with a lot of other symbols.

search.for.nulls.18.png


EDIT: Look at the intersection of symbols 44 and 40 ( not marked ). When those two symbols are removed, there are 96 repeats, the highest of any two symbol combination.

EDIT 2: I tried to remove symbols 1 and 33 individually and together, and also just the box corners for the 340. Then untransposed at 90 degrees, mirrored, flipped and flipped and mirrored. It didn't work.
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Last edited by smokie treats on Tue Mar 28, 2017 6:42 pm, edited 1 time in total.
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Re: Route Transposition and Phenomenon

Postby smokie treats » Thu Mar 23, 2017 6:41 am

340 two symbol cycle relationship quick reference table and one symbol cycle activity table

Example: Find the count of consecutive alternations between symbols 6 and 37. See shaded light blue. Find the symbols on the top row and left column, then the intersection. There are 13 consecutive alternations between symbols 6 and 37.

340.cycle.table.png

Example: Find the symbols that are the least cyclic for count of 4, 5 and 6 symbols. Look at the bottom of the table on the bottom row. Find the group of symbols with count of 4 in bold outline all together { symbols 48, 25, 41, 39, 32, 27, 4, 47, 42, 44 and 1 }. The symbols are sorted by count and total consecutive alternations with all other symbols, and conditional formatted so that the highest consecutive alternations will be a light color and the lowest consecutive alternations with be a dark color. For count of 4, symbol 1 has the fewest consecutive alternations at 157. For count of 5, symbol 33 has fewest consecutive alternations at 109. For count of 6, symbol 26 has fewest consecutive alternations at 125. Symbols 1 and 33 are box corner symbols, and symbols 26 and 33 are clustered together near the top and bottom of the message. But neither symbol 26 or 33 are probably polyphones because they are not distributed evenly throughout the message.

Example: Compare high count symbols 23, 11, 5 and 20 on the bottom right portion of the chart. Symbols 23 and 11 are more cyclic than symbols 5 and 20.
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Re: Route Transposition and Phenomenon

Postby smokie treats » Thu Mar 23, 2017 7:58 am

I just found another military cryptography manual online: War Department Technical Manual TM 11-484.

http://radionerds.com/images/b/bb/TM_11-485.pdf
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Re: Route Transposition and Phenomenon

Postby doranchak » Thu Mar 23, 2017 9:29 am

smokie treats wrote:I just found another military cryptography manual online: War Department Technical Manual TM 11-484.

Nice! Thanks for posting this.
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