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Route Transposition and Phenomenon

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Jarlve
(@jarlve)
Posts: 2547
Famed Member
 

You will be able to play around with this yourself when I make the next AZdecrypt update available, the maps are generated automatically from the new tests.

AZdecrypt

 
Posted : August 1, 2017 7:53 pm
(@mr-lowe)
Posts: 1197
Noble Member
 

You will be able to play around with this yourself when I make the next AZdecrypt update available, the maps are generated automatically from the new tests.

Looking forward to the update. In the mean time can you do a heat map of period 39. I recall it may have been done by Smokie. And can you mark in the pivots . Cheers

 
Posted : August 2, 2017 3:03 am
smokie treats
(@smokie-treats)
Posts: 1626
Noble Member
Topic starter
 

It looks like the even rows test more positive, but I don’t know what that means.

 
Posted : August 2, 2017 3:24 am
(@mr-lowe)
Posts: 1197
Noble Member
 

A casual observation in the first heat map jarlve put up. It is a bit hard to be sure as the colour differentiations is not real easy to disseminate.( may be yellow to red would be better) The pattern looks a lot like checkerboard or ‘odds even’ from rows 1 through to 10 and the rows 11 through to 20 look more like solid lines.

 
Posted : August 2, 2017 5:49 am
Jarlve
(@jarlve)
Posts: 2547
Famed Member
 

Changing the color scheme of the heatmap was a very good suggestion Mr lowe, it now looks splendid! It goes from teal to yellow to red. The checkerboard pattern you are seeing might be an artifact of the periodic system that was used to generate that image.

The following images have been generated with a new grid based system that currently only looks for horizontal and vertical fragments.

340: https://drive.google.com/open?id=0B5r0r … 0k0WTdsYjA
408: https://drive.google.com/open?id=0B5r0r … XRwNjdnWVU
smokie59a: https://drive.google.com/open?id=0B5r0r … 2tFLXA1MFk
smokie59b: https://drive.google.com/open?id=0B5r0r … DhiUGhnRW8
smokie59c: https://drive.google.com/open?id=0B5r0r … lZKbWcxQlU
smokie59d: https://drive.google.com/open?id=0B5r0r … 1RQVmNienc

@smokie, I wonder if the top and bottom parts of the circle sit in row 6 and 14 since these areas show up a bit.

AZdecrypt

 
Posted : August 3, 2017 12:18 am
(@mr-lowe)
Posts: 1197
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yes jarlve its a bit easier on the eye. Can you put up a period 19, period 39 and a 19 skytale. or I will wait for your update.

 
Posted : August 3, 2017 2:46 am
smokie treats
(@smokie-treats)
Posts: 1626
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Topic starter
 

I really like the new images a lot.

I didn’t save the messages, but the circle was about that size. Rows 6 and 14 look about right. There were four symbols at the top, bottom and sides, with one 45 degree corner symbol at upper left, right, and lower left and right.

It is interesting that using the program to look at only part of the message, or all of the message without row 14 allows us to see other areas of the message that are not as cyclic. I think that this is a very useful tool that deserves more exploration and may help us understand what Zodiac did. I have been thinking about two keys, one for odd rows and one for even rows. Or, encoding before some type of alteration to hide the bigram repeats. Whether it is transposition or not.

But for now I am open minded and liking the new tool. Not bad. How do you want to use it next?

I am low energy right now.

 
Posted : August 3, 2017 3:59 am
Jarlve
(@jarlve)
Posts: 2547
Famed Member
 

yes jarlve its a bit easier on the eye. Can you put up a period 19, period 39 and a 19 skytale. or I will wait for your update.

The system measures the encoding, which in case of the 340 appears to be from left-to-right, top-to-bottom, or in other words period 1. Higher periods such as 19 and 39 will suffer total encoding randomization and the system would see improvement in nearly each row and column. Or do you want to see the randomization in the columns of those periods in function of period 1?

But for now I am open minded and liking the new tool. Not bad. How do you want to use it next?

It is a project that I am enjoying for the moment and perhaps some good things will come from it. More in general I would like to know where the perceived encoding randomness comes from and if it could pose decryption problems. Can any of the following be ruled in or out: nulls, polyphones, cycle randomness, alternative encoding method or mixed?

AZdecrypt

 
Posted : August 4, 2017 1:13 am
(@mr-lowe)
Posts: 1197
Noble Member
 

hi jarlve, i was sort of thinking along the lines of it being a double transposition cipher. for example unravel to a period 19 or 39 then see what the heat map shows.
Row 14 being the standout in this map. interesting Z was very fond of 14, 4-teen, in the peek a boo/Halloween card. (if it was him)

 
Posted : August 4, 2017 7:42 am
smokie treats
(@smokie-treats)
Posts: 1626
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Topic starter
 

I am glad you asked for these. Removing row 14 from the 340 now turns the spotlight exactly in the middle of the other horizontal pivot fragment. If you ask me it looks more and more credible that the horizontal parts of the pivots are made up structures by the Zodiac as he went through the encoding process.

I also see a pattern of bright colored cells at period 32 that goes from the top of the message to the bottom of the message.

 
Posted : August 4, 2017 12:49 pm
smokie treats
(@smokie-treats)
Posts: 1626
Noble Member
Topic starter
 

Jarlve, please take out rows 12 and 14. I would like to see what happens.

 
Posted : August 4, 2017 7:50 pm
(@mr-lowe)
Posts: 1197
Noble Member
 

I am glad you asked for these. Removing row 14 from the 340 now turns the spotlight exactly in the middle of the other horizontal pivot fragment. If you ask me it looks more and more credible that the horizontal parts of the pivots are made up structures by the Zodiac as he went through the encoding process.

I also see a pattern of bright colored cells at period 32 that goes from the top of the message to the bottom of the message.

yes that is interesting smokie

 
Posted : August 5, 2017 3:17 am
Jarlve
(@jarlve)
Posts: 2547
Famed Member
 

I have released AZdecrypt 1.07 in its forum thread so give it a go.

The test you are looking for can be found under More stats and then Grid encoding randomization: 2-symbol cycles. After the test is completed the images can be found in AZdecrypts Output directory (where you find the solutions of the solvers). Some tests may output multiple images, these are maps with different normalizations, more on that later. The grid test is biased towards horizontal and vertical fragments and the periodic test is biased towards horizontal and periodic fragments etc.

The grid, periodic and custom shape tests all output images. The tests can be performed with 3-symbol cycles as well but generally takes a long time, but it is more thorough. Another way to increase the thoroughness is to increase the Encoding randomization trials setting under Options and then Stats. You may notice that these tests in general take a long time to complete, they are just incredibly thorough by default. For example, the grid test on the 340 scans roughly 1.2 million variations with the n-symbol cycles measurements.

It is possible to test a custom shape (like a pivot, square or whatever you like) with the test Custom shape randomization: 2-symbol cycles under More stats. You need to input a custom shape in the Output window with spaces filling it up to be a square. AZdecrypt can fill up with squares with the function Square with spaces under Format but then you may need to do a couple of Swaps.

Please let me know if you have any questions or issues.

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*******
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AZdecrypt

 
Posted : August 5, 2017 1:26 pm
Jarlve
(@jarlve)
Posts: 2547
Famed Member
 

I also see a pattern of bright colored cells at period 32 that goes from the top of the message to the bottom of the message.

I think that was because of not having proper normalization for shorter fragments in place at that time but such artifacts may appear. It is a hard question wether they are real or not. For one it would be hard to imagine such complicated periodic randomizations being applied.

Row 14 being the standout in this map. interesting Z was very fond of 14, 4-teen, in the peek a boo/Halloween card.

Yes, that is an interesting coincidence that also crossed my mind.

AZdecrypt

 
Posted : August 5, 2017 1:34 pm
Jarlve
(@jarlve)
Posts: 2547
Famed Member
 

Jarlve, please take out rows 12 and 14. I would like to see what happens.

340: https://drive.google.com/open?id=0B5r0r … 1RabkszRjQ
340 row 12 removed: https://drive.google.com/open?id=0B5r0r … 21EaWhacGc
340 row 14 removed: https://drive.google.com/open?id=0B5r0r … 3loTkNMRG8
340 row 12 and 14 removed: https://drive.google.com/open?id=0B5r0r … 0tSZm0tQTA

Removing row 14 has a big impact on perfect 3-symbol cycles. The score is nearly tripled, and the amount of cycles goes up from 40 to 86. The 340 appears to have many small cycles.

Before:

AZdecrypt perfect 3-symbol cycles stats for: 340.txt
----------------------------------------------------
Index of coincidence:
- Raw: 1060
- Normalized: 0.009305918915597072
- Flatness: 0.8966037735849058
Cycles: 40
Average cycle length: 5.4

Cycles by appearance:
----------------------------------------------------
E1:E1:E1 (30)
E&XE&XE (20)
E;XE;XE; (30)
>Z7>Z7>Z7>Z (72)
>Z/>Z/>Z/>Z (72)
P%:P%:P (20)
P%3P%3P (20)
P%jP%jP (20)
P:3P:3P (20)
P73P73P7 (30)
1:31:31 (20)
1:q1:q1 (20)
13q13q1 (20)
%:3%:3 (12)
%:q%:q (12)
%3q%3q (12)
%j&%j& (12)
%jq%jq (12)
%&q%&q (12)
DZ7DZ7DZ7DZ (72)
DZ/DZ/DZ/DZ (72)
YZ7YZ7YZ7YZ (72)
YZ/YZ/YZ/YZ (72)
:3q:3q (12)
:3A:3A (12)
:qA:qA (12)
73q73q7 (20)
7&q7&q7 (20)
7&X7&X7 (20)
7;X7;X7; (30)
3qA3qA (12)
_&q_&q_ (20)
_&X_&X_ (20)
_;X_;X_; (30)
j&qj&q (12)
j&Xj&X (12)
&qA&qA (12)
&XA&XA (12)
/;X/;X/; (30)
;XA;XA; (20)

After:

AZdecrypt perfect 3-symbol cycles stats for: 340.txt
----------------------------------------------------
Index of coincidence:
- Raw: 3054
- Normalized: 0.02973130841121495
- Flatness: 0.9221112989445791
Cycles: 86
Average cycle length: 6.244186046511628

Cycles by appearance:
----------------------------------------------------
E1:E1:E1 (30)
E&XE&XE (20)
E;XE;XE; (30)
>f7>f7>f7> (56)
>f_>f_>f_> (56)
>ft>ft>ft> (56)
>f/>f/>f/> (56)
>Z7>Z7>Z7>Z (72)
>Zt>Zt>Zt>Z (72)
>Z/>Z/>Z/>Z (72)
>7t>7t>7t> (56)
P%:P%:P (20)
P%3P%3P (20)
P%jP%jP (20)
P:3P:3P (20)
P73P73P7 (30)
P7tP7tP7t (42)
1:31:31 (20)
1:q1:q1 (20)
13q13q1 (20)
NZ7NZ7NZ7NZ (72)
NZtNZtNZtNZ (72)
NZ/NZ/NZ/NZ (72)
N7tN7tN7tN (56)
%:3%:3 (12)
%:q%:q (12)
%3q%3q (12)
%j&%j& (12)
%jq%jq (12)
%&q%&q (12)
Df7Df7Df7D (56)
Df_Df_Df_D (56)
DftDftDftD (56)
Df/Df/Df/D (56)
DZ7DZ7DZ7DZ (72)
DZtDZtDZtDZ (72)
DZ/DZ/DZ/DZ (72)
D7tD7tD7tD (56)
YZ7YZ7YZ7YZ (72)
YZtYZtYZtYZ (72)
YZ/YZ/YZ/YZ (72)
Y7tY7tY7tY (56)
f:3f:3f (20)
f73f73f7 (30)
f7tf7tf7t (42)
f7&f7&f7 (30)
f7;f7;f7; (42)
f7Xf7Xf7 (30)
f_&f_&f_ (30)
f_;f_;f_; (42)
f_Xf_Xf_ (30)
ft&ft&ft (30)
ft;ft;ft; (42)
ftXftXft (30)
fj&fj&f (20)
fjXfjXf (20)
f&Xf&Xf (20)
f/;f/;f/; (42)
f/Xf/Xf/ (30)
f;Xf;Xf; (30)
:3q:3q (12)
:3A:3A (12)
:qA:qA (12)
Z7tZ7tZ7tZ (56)
73q73q7 (20)
7t&7t&7t (30)
7tq7tq7t (30)
7t;7t;7t; (42)
7tX7tX7t (30)
7tb7tb7t (30)
7&q7&q7 (20)
7&X7&X7 (20)
7;X7;X7; (30)
3qA3qA (12)
_&q_&q_ (20)
_&X_&X_ (20)
_;X_;X_; (30)
t&qt&qt (20)
t&Xt&Xt (20)
t;Xt;Xt; (30)
j&qj&q (12)
j&Xj&X (12)
&qA&qA (12)
&XA&XA (12)
/;X/;X/; (30)
;XA;XA; (20)

AZdecrypt

 
Posted : August 5, 2017 7:36 pm
Page 41 / 96
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