My BLT
in [Cryptography]
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From: WTShaw on 7 Mar 2010 02:12 On Mar 4, 7:48 am, bmearns <mearn...(a)gmail.com> wrote: > > Come to think of it, this cipher might be better suited to stego than > crypto. There are 27! different keys, each being equivalent to 5 > others. So there are effectively 27!/6 different messages that can be > encoded in the choice of a key, which is just over 90.5 bits of > information. An encoding system, using the factoradic number system > for instance, could be used to encode a hidden message into a key. An > innocuous message containing a crib would be encrypted using that key, > and sent to your partner. With the crib, they could recover an > equivalent key rather quickly and easily, and then recover the hidden > 90 bits from that key. An enemy could easily do the same, but > hopefully would think that the message was the important part, and > forget about the key. > > -Brian Consider that for each character you have pools of choices of representations which means at say one letter per word, several combinations of three words with a hot letter in each would allow a better flowing stream of words to be used. I leave you to your imagination to inspire you to puch relative thoughts to something useful. But for the fun of it, here is the application I use in Base64. If you know how to decrypt that and hang together a java script application to make it run, enjoy the exact program that I currently use. 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From: David Eather on 8 Mar 2010 18:23 On 4/03/2010 9:55 PM, WTShaw wrote: > On Mar 4, 3:51 am, WTShaw<lure...(a)gmail.com> wrote: >> On Feb 28, 7:57 am, bmearns<mearn...(a)gmail.com> wrote: >> >> >> >>> On Feb 26, 5:32 pm, WTShaw<lure...(a)gmail.com> wrote: >> >>>> On Feb 25, 11:38 am, bmearns<mearn...(a)gmail.com> wrote: >> >>>>> On Feb 25, 10:45 am, WTShaw<lure...(a)gmail.com> wrote: >> >>>>>> Now are you meaning an encrypted message which is also the source for >>>>>> the key? It seems that if they are not the same that solution could >>>>>> be less fun. >> >>>>> Are you asking what I attacked, or what I was jokingly suggested is >>>>> posted in Sundays papers? For the attack, I had an encrypted message >>>>> and a short crib for it. In other words, I had a matched pair of >>>>> cipher text and the plain-text that generated it, from which I was >>>>> able to deduce all three pools in their entirety, and was able to >>>>> populate 15 entries in the table. In practice, this sort of partial >>>>> solve would allow me to partially decrypt other messages for which I >>>>> did not have a crib, and then using intelligent guesses about >>>>> undeciphered characters, could create additional cribs to continue >>>>> filling in the table. >> >>>>> For instance, if I my partial solution allowed me to decode "q?een of >>>>> heart?", I could reasonably guess that the missing letters were u and >>>>> s; and I could then use the corresponding trigraphs to fill in those >>>>> two letters in the table. The point, of course, is that a partial >>>>> solve can be quite effective, and I was able to get a partial solve >>>>> using a relatively short crib. >> >>>>> -Brian >> >>>> You missed the difference between using BLT as a keyed cipher in which >>>> there is no crib to use as an autodictive cipher which you chose to >>>> solve. As an exercise, the later may be instructional, maybe. >> >>> Well as we've well established, and as I freely admit, you seem to >>> know a lot more about cryptography than I do, and at any rate I am >>> very much an amateur in the field. What I "chose" to solve was the >>> exactly problem that you posted: I attacked a plain-text/cipher-text >>> pair generated exactly the way you described it in the original post. >>> If there are stronger ways to use the cipher, it's probably worth your >>> mentioning that. >> >>> Perhaps it is simply my lack of experience and knowledge in the field, >>> but I can't imagine how a certain type of cipher could be crib-free. >>> Cribs---at least in the general meaning of the term that I'm using >>> here, which is simply a sample of known plain-text and the matching >>> cipher-text; if there is a more particular definition I'm unaware of, >>> I would certainly love to know it---are not a feature of the cipher, >>> they're the result of non-cryptographic activities carried out to >>> learn more information about the communications being attacked. >>> Certainly some ciphers are more resistant to a known-plain-text >>> attacker, but that doesn't mean the crib doesn't exist. >> >>> -Brian >> >> If I don't get back on the group here, it's because of time >> conflicts...but I do need to say more picking up at the tops posts. >> We'll see how much time I can devote to this as I have a busy schedule >> tomorrow. >> >> I've seen an error in my program that probably did not make too much >> difference. The javascript version was taken in function from old >> source circa 1995. Originally, I started with the straight generic >> key to make things work and simply eliminated allowing the slant sign, >> the last character in the key, to be accepted into ciphertext. >> >> I failed then to adjust the statements when I build a dynamic key >> process, so the result was that the 27th character of the key was >> nulled out. Now, that's fixed. I've also made a version that rejects >> use of the original plaintext character in any triad that represents >> it. >> >> That said, the distribution of ciphertext characters remain >> essentially a random distribution that can change just on the picking >> function with the pRCG alone. The advantage of the generator is that >> it is directly character driven rather than with pRNG driven where >> several additional steps are needed to get back to letters. >> >> The pseudo random results might look something like this from the >> previous dumb ciphertext: >> >> Total Characters = 690 from 'abcdefghijklmnopqrstuvwxyz' >> a 21 3.039073806078148% >> b 22 3.183791606367583% >> c 36 5.209840810419681% >> d 23 3.3285094066570187% >> e 24 3.4732272069464547% >> f 41 5.933429811866859% >> g 25 3.61794500723589% >> h 19 2.7496382054992763% >> i 37 5.354558610709118% >> j 21 3.039073806078148% >> k 15 2.170767004341534% >> l 36 5.209840810419681% >> m 27 3.907380607814761% >> n 18 2.6049204052098407% >> o 40 5.788712011577424% >> p 25 3.61794500723589% >> q 16 2.3154848046309695% >> r 36 5.209840810419681% >> s 27 3.907380607814761% >> t 15 2.170767004341534% >> u 32 4.630969609261939% >> v 31 4.486251808972503% >> w 28 4.052098408104197% >> x 31 4.486251808972503% >> y 23 3.3285094066570187% >> z 21 3.039073806078148% >> >> The idea is to eliminate cribs, no, nada, none. In the known example, >> you can work backwards but the unknown is another story. >> >> The idea of looking for a match between plaintext and ciphertext, or >> total omissions is important because like the enigma, missing letters >> were key, pardon the pun, to breaking it, and daily keys. >> >> Taking the above ciphertext and decrypting it, it's simple to see it >> to be: >> "it is rather simple to use the normal alphabet in standard form >> chased by a slant sign as the key for blt x a dumb blt decoder is >> rather limited but it does make its point as it easily hides >> information j at least from the dumb x " >> >> Using the key "the /qu ick bro wnf xjm psv laz ydg" to encrypt to >> shield plaintext letter us and running the frequencies, they are as >> follows: >> >> a 25 3.61794500723589% >> b 41 5.933429811866859% >> c 28 4.052098408104197% >> d 21 3.039073806078148% >> e 15 2.170767004341534% >> f 23 3.3285094066570187% >> g 18 2.6049204052098407% >> h 19 2.7496382054992763% >> i 42 6.078147612156296% >> j 16 2.3154848046309695% >> k 15 2.170767004341534% >> l 36 5.209840810419681% >> m 19 2.7496382054992763% >> n 27 3.907380607814761% >> o 13 1.881331403762663% >> p 36 5.209840810419681% >> q 27 3.907380607814761% >> r 27 3.907380607814761% >> s 26 3.762662807525326% >> t 37 5.354558610709118% >> u 15 2.170767004341534% >> v 19 2.7496382054992763% >> w 39 5.643994211287988% >> x 41 5.933429811866859% >> y 49 7.091172214182344% >> z 16 2.3154848046309695% >> >> and next pass: >> >> a 17 2.4566473988439306% >> b 39 5.635838150289017% >> c 25 3.6127167630057806% >> d 27 3.901734104046243% >> e 15 2.167630057803468% >> f 17 2.4566473988439306% >> g 18 2.601156069364162% >> h 28 4.046242774566474% >> i 39 5.635838150289017% >> j 23 3.3236994219653178% >> k 16 2.312138728323699% >> l 39 5.635838150289017% >> m 21 3.0346820809248554% >> n 26 3.7572254335260116% >> o 20 2.8901734104046244% >> p 44 6.358381502890173% >> q 19 2.745664739884393% >> r 21 3.0346820809248554% >> s 30 4.335260115606936% >> t 34 4.913294797687861% >> u 18 2.601156069364162% >> v 13 1.8786127167630058% >> w 36 5.202312138728324% >> x 44 6.358381502890173% >> y 47 6.791907514450866% >> z 15 2.167630057803468% >> >> and will be different each time it is run. >> >> Rock climbing methods would probably work to break any text but double >> encryption with a second key would present quite another problem and >> words would disappear as cribs. > > The postings of frequencies are fodder for analysis, something you > might not have in different forms. Different keys would produce > greater variances. With more work, a technique might begin to > develop, some sort of interference pattern of the trigraphs. Your cipher was analysed and it failed quite spectacularly. That you don't understand that is not a surprise given what else you've shown.
From: WTShaw on 9 Mar 2010 17:28 On Mar 8, 5:23 pm, David Eather <eat...(a)tpg.com.au> wrote: > On 4/03/2010 9:55 PM, WTShaw wrote: > > Your cipher was analysed and it failed quite spectacularly. That you > don't understand that is not a surprise given what else you've shown. Solve it...and, I'll give you a crib: yxarf ehzmv ypico segtd iqflr ubegx pykji zcman dskeu yogsa eubyq jlxor bygcf wmklh ipqby lorjv xfepk sbhxz ftske cnxgl wuirm esqyi nhdse kocyx qzhso balkq fwrsn tucqx mjfph yanvi dfxkb snlfa ycdux htlqr gzuvw dkoys qahnd biqma hyrsb oxlcn smwux kgace bjrlx tchsk yrpjv qgwat mnezg jhskb pgwyo qhluc bdnyv hzlqf xsbon qzpxs uvhje yirog xenav lkgsy bzmjh ewtio vynda mexyi hjsor cabxk svduq icpnx fyahk rtwqp svoal hrsgk bocyx ge Total Characters = 100 from 'abcdefghijklmnopqrstuvwxyz' a 5 4.9504950495049505% b 1 0.9900990099009901% c 4 3.9603960396039604% d 3 2.9702970297029703% e 10 9.900990099009901% f 3 2.9702970297029703% g 3 2.9702970297029703% h 5 4.9504950495049505% i 10 9.900990099009901% j 1 0.9900990099009901% k 1 0.9900990099009901% l 0 0% m 1 0.9900990099009901% n 8 7.920792079207921% o 8 7.920792079207921% p 2 1.9801980198019802% q 1 0.9900990099009901% r 10 9.900990099009901% s 6 5.9405940594059405% t 8 7.920792079207921% u 4 3.9603960396039604% v 0 0% w 2 1.9801980198019802% x 0 0% y 4 3.9603960396039604% z 0 0% If I am correct, this is more that the unicity threshold it might have. And, what is that? I call a 100 letter plaintext to recover a CNote. Can you hack it? There is an intentional weakness too but truth in what it says.
From: WTShaw on 9 Mar 2010 17:31 > > >> If you were trying to make a point about entropy or unicity then you > >> could at least finish your calculation and actually try to make your point. > > > The complaint was raised that I had no data to study...always did and > > see the same results here...not much help for a simple linear solution. > > No the complain was that you produced any mathematical results - and > you still haven't What was it about the constipated mathematician that worked it out with a pencil?
From: biject on 9 Mar 2010 18:07
On Mar 8, 4:23 pm, David Eather <eat...(a)tpg.com.au> wrote: > On 4/03/2010 9:55 PM, WTShaw wrote: > > > > > > > On Mar 4, 3:51 am, WTShaw<lure...(a)gmail.com> wrote: > >> On Feb 28, 7:57 am, bmearns<mearn...(a)gmail.com> wrote: > > >>> On Feb 26, 5:32 pm, WTShaw<lure...(a)gmail.com> wrote: > > >>>> On Feb 25, 11:38 am, bmearns<mearn...(a)gmail.com> wrote: > > >>>>> On Feb 25, 10:45 am, WTShaw<lure...(a)gmail.com> wrote: > > >>>>>> Now are you meaning an encrypted message which is also the source for > >>>>>> the key? It seems that if they are not the same that solution could > >>>>>> be less fun. > > >>>>> Are you asking what I attacked, or what I was jokingly suggested is > >>>>> posted in Sundays papers? For the attack, I had an encrypted message > >>>>> and a short crib for it. In other words, I had a matched pair of > >>>>> cipher text and the plain-text that generated it, from which I was > >>>>> able to deduce all three pools in their entirety, and was able to > >>>>> populate 15 entries in the table. In practice, this sort of partial > >>>>> solve would allow me to partially decrypt other messages for which I > >>>>> did not have a crib, and then using intelligent guesses about > >>>>> undeciphered characters, could create additional cribs to continue > >>>>> filling in the table. > > >>>>> For instance, if I my partial solution allowed me to decode "q?een of > >>>>> heart?", I could reasonably guess that the missing letters were u and > >>>>> s; and I could then use the corresponding trigraphs to fill in those > >>>>> two letters in the table. The point, of course, is that a partial > >>>>> solve can be quite effective, and I was able to get a partial solve > >>>>> using a relatively short crib. > > >>>>> -Brian > > >>>> You missed the difference between using BLT as a keyed cipher in which > >>>> there is no crib to use as an autodictive cipher which you chose to > >>>> solve. As an exercise, the later may be instructional, maybe. > > >>> Well as we've well established, and as I freely admit, you seem to > >>> know a lot more about cryptography than I do, and at any rate I am > >>> very much an amateur in the field. What I "chose" to solve was the > >>> exactly problem that you posted: I attacked a plain-text/cipher-text > >>> pair generated exactly the way you described it in the original post. > >>> If there are stronger ways to use the cipher, it's probably worth your > >>> mentioning that. > > >>> Perhaps it is simply my lack of experience and knowledge in the field, > >>> but I can't imagine how a certain type of cipher could be crib-free. > >>> Cribs---at least in the general meaning of the term that I'm using > >>> here, which is simply a sample of known plain-text and the matching > >>> cipher-text; if there is a more particular definition I'm unaware of, > >>> I would certainly love to know it---are not a feature of the cipher, > >>> they're the result of non-cryptographic activities carried out to > >>> learn more information about the communications being attacked. > >>> Certainly some ciphers are more resistant to a known-plain-text > >>> attacker, but that doesn't mean the crib doesn't exist. > > >>> -Brian > > >> If I don't get back on the group here, it's because of time > >> conflicts...but I do need to say more picking up at the tops posts. > >> We'll see how much time I can devote to this as I have a busy schedule > >> tomorrow. > > >> I've seen an error in my program that probably did not make too much > >> difference. The javascript version was taken in function from old > >> source circa 1995. Originally, I started with the straight generic > >> key to make things work and simply eliminated allowing the slant sign, > >> the last character in the key, to be accepted into ciphertext. > > >> I failed then to adjust the statements when I build a dynamic key > >> process, so the result was that the 27th character of the key was > >> nulled out. Now, that's fixed. I've also made a version that rejects > >> use of the original plaintext character in any triad that represents > >> it. > > >> That said, the distribution of ciphertext characters remain > >> essentially a random distribution that can change just on the picking > >> function with the pRCG alone. The advantage of the generator is that > >> it is directly character driven rather than with pRNG driven where > >> several additional steps are needed to get back to letters. > > >> The pseudo random results might look something like this from the > >> previous dumb ciphertext: > > >> Total Characters = 690 from 'abcdefghijklmnopqrstuvwxyz' > >> a 21 3.039073806078148% > >> b 22 3.183791606367583% > >> c 36 5.209840810419681% > >> d 23 3.3285094066570187% > >> e 24 3.4732272069464547% > >> f 41 5.933429811866859% > >> g 25 3.61794500723589% > >> h 19 2.7496382054992763% > >> i 37 5.354558610709118% > >> j 21 3.039073806078148% > >> k 15 2.170767004341534% > >> l 36 5.209840810419681% > >> m 27 3.907380607814761% > >> n 18 2.6049204052098407% > >> o 40 5.788712011577424% > >> p 25 3.61794500723589% > >> q 16 2.3154848046309695% > >> r 36 5.209840810419681% > >> s 27 3.907380607814761% > >> t 15 2.170767004341534% > >> u 32 4.630969609261939% > >> v 31 4.486251808972503% > >> w 28 4.052098408104197% > >> x 31 4.486251808972503% > >> y 23 3.3285094066570187% > >> z 21 3.039073806078148% > > >> The idea is to eliminate cribs, no, nada, none. In the known example, > >> you can work backwards but the unknown is another story. > > >> The idea of looking for a match between plaintext and ciphertext, or > >> total omissions is important because like the enigma, missing letters > >> were key, pardon the pun, to breaking it, and daily keys. > > >> Taking the above ciphertext and decrypting it, it's simple to see it > >> to be: > >> "it is rather simple to use the normal alphabet in standard form > >> chased by a slant sign as the key for blt x a dumb blt decoder is > >> rather limited but it does make its point as it easily hides > >> information j at least from the dumb x " > > >> Using the key "the /qu ick bro wnf xjm psv laz ydg" to encrypt to > >> shield plaintext letter us and running the frequencies, they are as > >> follows: > > >> a 25 3.61794500723589% > >> b 41 5.933429811866859% > >> c 28 4.052098408104197% > >> d 21 3.039073806078148% > >> e 15 2.170767004341534% > >> f 23 3.3285094066570187% > >> g 18 2.6049204052098407% > >> h 19 2.7496382054992763% > >> i 42 6.078147612156296% > >> j 16 2.3154848046309695% > >> k 15 2.170767004341534% > >> l 36 5.209840810419681% > >> m 19 2.7496382054992763% > >> n 27 3.907380607814761% > >> o 13 1.881331403762663% > >> p 36 5.209840810419681% > >> q 27 3.907380607814761% > >> r 27 3.907380607814761% > >> s 26 3.762662807525326% > >> t 37 5.354558610709118% > >> u 15 2.170767004341534% > >> v 19 2.7496382054992763% > >> w 39 5.643994211287988% > >> x 41 5.933429811866859% > >> y 49 7.091172214182344% > >> z 16 2.3154848046309695% > > >> and next pass: > > >> a 17 2.4566473988439306% > >> b 39 5.635838150289017% > >> c 25 3.6127167630057806% > >> d 27 3.901734104046243% > >> e 15 2.167630057803468% > >> f 17 2.4566473988439306% > >> g 18 2.601156069364162% > >> h 28 4.046242774566474% > >> i 39 5.635838150289017% > >> j 23 3.3236994219653178% > >> k 16 2.312138728323699% > >> l 39 5.635838150289017% > >> m 21 3.0346820809248554% > >> n 26 3.7572254335260116% > >> o 20 2.8901734104046244% > >> p 44 6.358381502890173% > >> q 19 2.745664739884393% > >> r 21 3.0346820809248554% > >> s 30 4.335260115606936% > >> t 34 4.913294797687861% > >> u 18 2.601156069364162% > >> v 13 1.8786127167630058% > >> w 36 5.202312138728324% > >> x 44 6.358381502890173% > >> y 47 6.791907514450866% > >> z 15 2.167630057803468% > > >> and will be different each time it is run. > > >> Rock climbing methods would probably work to break any text but double > >> encryption with a second key would present quite another problem and > >> words would disappear as cribs. > > > The postings of frequencies are fodder for analysis, something you > > might not have in different forms. Different keys would produce > > greater variances. With more work, a technique might begin to > > develop, some sort of interference pattern of the trigraphs. > > Your cipher was analysed and it failed quite spectacularly. That you > don't understand that is not a surprise given what else you've shown. Really do you have proof his cipher failed quite spectacularly I am sure many said bad things about it since he is his on man. But I would be surprised to find an actual break. David A. Scott -- My Crypto code http://bijective.dogma.net/crypto/scott19u.zip http://www.jim.com/jamesd/Kong/scott19u.zip old version My Compression code http://bijective.dogma.net/ **TO EMAIL ME drop the roman "five" ** Disclaimer:I am in no way responsible for any of the statements made in the above text. For all I know I might be drugged. As a famous person once said "any cryptograhic system is only as strong as its weakest link" |