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Homophonic substitution

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smokie treats
(@smokie-treats)
Posts: 1626
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No, I meant these:

 
Posted : August 17, 2016 3:16 am
doranchak
(@doranchak)
Posts: 2614
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Oh! Yes, the symmetry there is intriguing. And the symbols there in the middle line up with a period of 57, which is a multiple of 19, for whatever that’s worth.

http://zodiackillerciphers.com

 
Posted : August 17, 2016 5:14 am
doranchak
(@doranchak)
Posts: 2614
Member Admin
 

OK, I finished a quick shuffle test. The test does these steps:

1) Shuffle the Z340 randomly
2) Look for "Mr Lowe patterns" and count them by length

Patterns are only sought from left to right in the shuffled cipher texts. All positions are considered, not just the first.

The steps are repeated 1,000,000 times.

In Mr Lowe’s transposition, his pattern has a length of 8. Among the 1,000,000 shuffles, only 74 of them had a Mr Lowe pattern of length 8. A single occurrence of the pattern of length 8 corresponds to a sigma of 116.25 (or put another way, the observation of a pattern of length 8 is 116.25 standard deviations from the expected value for random cipher texts).

That’s about a 1 in 13514 chance. Now, the other thing you have to consider is the pattern can be sought for among many different orientations and reading directions. This should have the effect of increasing the probability of finding it, especially if you include many variations of scytale, grid widths, positions in the cipher, etc. But each variation is not purely random, so it’s hard to say what effect it would have on the real probability.

http://zodiackillerciphers.com

 
Posted : August 17, 2016 6:11 am
(@mr-lowe)
Posts: 1197
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your work is awesome doranchak ..Thanks for taking the time… trouble is for me I don’t understand if what you put up is good bad or indifferent.
doranchak can you run it through a solver in all directions to see if anything pops up when you get a moment.

 
Posted : August 17, 2016 6:59 am
doranchak
(@doranchak)
Posts: 2614
Member Admin
 

your work is awesome doranchak ..Thanks for taking the time… trouble is for me I don’t understand if what you put up is good bad or indifferent.

Yeah, I don’t understand either. Can’t really make a solid conclusion based on this.

doranchak can you run it through a solver in all directions to see if anything pops up when you get a moment.

Yes, I’m planning to generate many variations of your scheme to see if anything turns up.

http://zodiackillerciphers.com

 
Posted : August 17, 2016 2:45 pm
doranchak
(@doranchak)
Posts: 2614
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doranchak can you run it through a solver in all directions to see if anything pops up when you get a moment.

Yes, I’m planning to generate many variations of your scheme to see if anything turns up.

OK I generated over 2.5 million variations and scored them based on ngram counts, trigram counts, and presence of "mr lowe patterns". I retained the 20,000 that had the best scores. I’m running them through azdecrypt now. Should be done in about 2 days if all goes well. The downside is there are still many variations that aren’t going through azdecrypt so there’s always a chance of missing a diamond in the rough.

http://zodiackillerciphers.com

 
Posted : August 18, 2016 8:26 pm
(@mr-lowe)
Posts: 1197
Noble Member
 

In the mean time…as the computer ticks over do you think any merit in me making a scytale but breaking the code into two halves then joining back together.

Something else I have noted when I make a physical scytale I wrap the first line `loop` under as `it seems more natural to make` rather than wrap over as most pictures show. not sure if it delivers a different outcome.

 
Posted : August 19, 2016 5:55 am
doranchak
(@doranchak)
Posts: 2614
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I think that is worth a try. If you describe your method I can try to generate many variations to throw at AZdecrypt for the next batch. No interesting results from AZdecrypt yet for the current batch. I think it is almost halfway done with the batch of ciphers I threw at it.

http://zodiackillerciphers.com

 
Posted : August 19, 2016 2:53 pm
(@mr-lowe)
Posts: 1197
Noble Member
 

doranchak.. I take it from your non posting in this thread that we ended with a no show in the results from the solver..
That string is intriguing to me, something along the same lines as the pivots.
I will ponder some more on how they could be inter conncected.
cheers

 
Posted : August 22, 2016 6:47 am
(@mr-lowe)
Posts: 1197
Noble Member
 

1 19 37 44 11 56 8 60 31 18 35 7 49 30 59 40 63
55 20 5 40 23 38 18 34 20 42 37 51 58 19 20 29 16
46 3 57 22 16 5 14 32 5 19 32 39 19 12 30 1 22
16 61 7 10 28 22 31 21 37 8 8 26 33 19 10 17 6
6 24 26 23 52 25 55 4 22 39 45 9 4 13 2 20 19
30 50 10 28 13 5 36 6 17 17 15 19 53 34 43 48 55
36 27 62 34 5 19 6 16 46 36 51 17 47 7 24 23 51
43 15 33 44 31 49 3 23 13 31 41 50 41 19 41 11 29
40 16 15 19 19 9 27 13 3 54 29 38 7 25 21 19 53
21 40 5 23 15 5 19 16 11 3 21 38 8 51 51 40 47

"170" (top half 340) scy 21? columnar reformatted back to 17×10
Can you turn this into symbols so i can run it through crypto scope
the reasoning behind 21..it brought the period 19s in utilising my color formatted spreadsheet.
and below the bottom half

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

 
Posted : August 22, 2016 7:51 am
doranchak
(@doranchak)
Posts: 2614
Member Admin
 

doranchak.. I take it from your non posting in this thread that we ended with a no show in the results from the solver..
That string is intriguing to me, something along the same lines as the pivots.
I will ponder some more on how they could be inter conncected.
cheers

It took a while to collect all the results in this spreadsheet: https://drive.google.com/drive/folders/ … sp=sharing

But yeah, no strong results to speak of, apart from a handful that scored higher than average.

Each of the 20,000 ciphers in the spreadsheet is produced by applying the following decisions in sequence
1) Reverse the entire cipher text. Or leave it alone.
2) Rewrite it to some new grid width between 1 and 34.
3) Rotate the cipher 90 degress. Or not.
4) Flip the cipher horizontally. Or not.
5) Flip the cipher vertically. Or not.
6) Apply scytale, with a width between 1 and 34.
7) Rewrite it to some new grid width between 1 and 34.
8) Rotate the cipher 90 degress. Or not.
9) Flip the cipher horizontally. Or not.
10) Flip the cipher vertically. Or not.

Azdecrypt seems to produce higher scores for transformations that result in higher numbers of n-gram repeats. So, the longer "Mr Lowe" patterns don’t appear among the top 400 results.

Take a look at the spreadsheet and let me know if you have any ideas. I’ll try to look at your newer variation when I get a chance.

That string remains intriguing to me as well.

http://zodiackillerciphers.com

 
Posted : August 22, 2016 11:35 pm
(@mr-lowe)
Posts: 1197
Noble Member
 

I have spent a few hours reading through those results. It will take me a few days to get through it all. Some little snippets pop up but not sure if they mean anything. I am going to look for sentence structures.
cheers

 
Posted : August 23, 2016 8:58 am
smokie treats
(@smokie-treats)
Posts: 1626
Noble Member
 

Yeah, me too. I will look through the results. Thanks for all of the work that you do, both of you.

The solver is very powerful, and can find a small handful of actual words in an otherwise imperfectly untransposed message. One with disconnected message chunks. I am wondering if the same word or words are showing up where the same symbols are grouped together, even if not in the same location of the untransposed message. Consider reverse transposing the solutions, and comparing them to find out if the same symbols frequently map to the same plaintext, or if the same words keep appearing in the same locations.

I am not sure how big of an undertaking it would be to repeat the experiment with a test message. Or maybe you already have. If you want a simple test message, with the answer provided in advance, let me know. One idea would be to make a simple transposition message, but with some filler. Like, say, positions 324-333 or whatever. My feeling is that a large portion of the message is exactly what we think it is, but there is a portion of filler or untransposed message, because 340 is not a multiple of 15 or 19. Or we could do whatever you want, at your leisure. Thanks.

 
Posted : August 23, 2016 3:28 pm
doranchak
(@doranchak)
Posts: 2614
Member Admin
 

1 19 37 44 11 56 8 60 31 18 35 7 49 30 59 40 63
55 20 5 40 23 38 18 34 20 42 37 51 58 19 20 29 16
46 3 57 22 16 5 14 32 5 19 32 39 19 12 30 1 22
16 61 7 10 28 22 31 21 37 8 8 26 33 19 10 17 6
6 24 26 23 52 25 55 4 22 39 45 9 4 13 2 20 19
30 50 10 28 13 5 36 6 17 17 15 19 53 34 43 48 55
36 27 62 34 5 19 6 16 46 36 51 17 47 7 24 23 51
43 15 33 44 31 49 3 23 13 31 41 50 41 19 41 11 29
40 16 15 19 19 9 27 13 3 54 29 38 7 25 21 19 53
21 40 5 23 15 5 19 16 11 3 21 38 8 51 51 40 47

"170" (top half 340) scy 21? columnar reformatted back to 17×10
Can you turn this into symbols so i can run it through crypto scope
the reasoning behind 21..it brought the period 19s in utilising my color formatted spreadsheet.
and below the bottom half

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

OK – here you go:

H+M8|CV@KN:^j*Xz6
-BpzOUNyBSMF;+B<2
_Rq#2pTfp+fZ+1*H#
2b^k.#K(MVVW)+kdl
l%WO&D->#Z3P>LEB+
*5k.LpclddG+4y7t-
cYAyp+l2_cFd9^%OF
7G)8KjROLKJ5J+J|<
z2G++PYLR/<U^D(+4
(zpOGp+2|R(UVFFz9
Ucy5C^W(c29^4OFT-
+zF*K<SBKlXz2PYAK
y.LWBOTB|TC7zp+8R
)WkYM(++kN|TB5-|D
t*5cZG>/JNbVM)+l)
2E.B)<Sf9pl/C6N:(
+H*;G1BCOO|OB35c_
8MFc+ztZb&RcW<SB.
;++dpD5ct+FHE5FV5
2M5||.UqLRR+5>f|p

http://zodiackillerciphers.com

 
Posted : August 27, 2016 11:44 pm
doranchak
(@doranchak)
Posts: 2614
Member Admin
 

Ran it really quickly (forward and reversed) in azdecrypt but they did not score highly:

normal

Score: 20212.69 Ioc: 0.0757071 Chi2: 58.47463 H: 3.835515 M: 0.1852941 C: 340 S: 63

mspancollandlaber
sideocalimprisisa
ttheaddadsaisgame
andthelipoorestal
lfrogesheinthesis
atthedelaansflors
eholdslaterandfor
onealltoelitisins
eanssthetuscdeisf
iedondsanticorren
celtcdrieandfords
seralsmillbeathol
lheriodindcoedsat
erthpisstanditsne
rateinhuianopesle
ashiesmandlucrani
smaingicoonointet
apreseringtersmih
issadetersrmstrot
aptnnhchettsthand

H+M8|CV@KN:^j*Xz6
-BpzOUNyBSMF;+B<2
_Rq#2pTfp+fZ+1*H#
2b^k.#K(MVVW)+kdl
l%WO&D->#Z3P>LEB+
*5k.LpclddG+4y7t-
cYAyp+l2_cFd9^%OF
7G)8KjROLKJ5J+J|<
z2G++PYLR/<U^D(+4
(zpOGp+2|R(UVFFz9
Ucy5C^W(c29^4OFT-
+zF*K<SBKlXz2PYAK
y.LWBOTB|TC7zp+8R
)WkYM(++kN|TB5-|D
t*5cZG>/JNbVM)+l)
2E.B)<Sf9pl/C6N:(
+H*;G1BCOO|OB35c_
8MFc+ztZb&RcW<SB.
;++dpD5ct+FHE5FV5
2M5||.UqLRR+5>f|p

reverse

Score: 19990.01 Ioc: 0.07131702 Chi2: 50.7625 H: 3.921381 M: 0.1852941 C: 340 S: 63

tionhsoofperiihan
hlphompssthatmsst
rentatopitsastpaw
ithrelilleeditems
canheriteontheron
hishalinernitthes
aidherinesscareah
owstamerierleafro
duronavidentdepas
drplumentcamehote
eapplecoinstiltac
uscametrofrossina
tiesehedflordwhim
plymemptinistourt
dsmousimmittfrehe
seofnortandaplayi
imeshallacdaremin
amedstostortnapoi
ntestpaneonelated
havermandaleiwasm

p|f>5+RRLqU.||5M2
5VF5EHF+tc5Dpd++;
.BS<WcR&bZtz+cFM8
_c53BO|OOCB1G;*H+
(:N6C/lp9fS<)B.E2
)l+)MVbNJ/>GZc5*t
D|-5BT|Nk++(MYkW)
R8+pz7CT|BTOBWL.y
KAYP2zXlKBS<K*Fz+
-TFO4^92c(W^C5ycU
9zFFVU(R|2+pGOpz(
4+(D^U</RLYP++G2z
<|J+J5JKLORjK8)G7
FO%^9dFc_2l+pyAYc
-t7y4+GddlcpL.k5*
+BEL>P3Z#>-D&OW%l
ldk+)WVVM(K#.k^b2
#H*1+Zf+pfTp2#qR_
2<B+;FMSByNUOzpB-
6zX*j^:NK@VC|8M+H

http://zodiackillerciphers.com

 
Posted : August 28, 2016 12:26 am
Page 91 / 96
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