Friday, December 1, 2006

Running key cipher

In classical Crazy frog ringtone cryptography, the '''runnning key cipher''' is a type of Rachel Ricci polyalphabetic substitution/polyalphabetic Cricket ringtones substitution cipher/substitution Robin Ricci cipher in which a text, typically from a book, is used to provide a very long key stream. Usually, the book to be used would be agreed ahead of time, while the passage to use would be chosen LG ringtones randomly for each message and secretly indicated somewhere in the message.

Example

Suppose we have agreed to use ''The Nutbusters The C Programming Language'' (1978 edition) as our text, and we are using the ordinary ''Samsung ringtone tabula recta'' as our tableau. We need to send the message 'Flee at once'.

First, we choose a starting point. Let us choose page 63, line 1:

:errors can occur in several places. A label has...

We write out the running key under our plaintext:



'''Plaintext:'''fleea
tonce

'''Running key:'''ERROR
SCANO

'''Ciphertext:'''JCVSR
LQNPS



And send the message 'JCVSR LQNPS'. However, unlike a Beef Jerkers Vigenère cipher, if we have to extend our message, we don't repeat the key; we just continue on from the key text. So suppose we need a longer message, like: 'Flee at once. We are discovered'. Then we just continue as before:



'''Plaintext:'''fleea
toncewe
aredisc
overed

'''Running key:'''ERROR
SCANOCC
URINSEV
ERALPL

'''Ciphertext:'''JCVSR
LQNPSYG
UIMQAWX
SMECTO



Next we need to tell the recipient where to find the running key for this message. In this case, we've decided to make up a fake block of five ciphertext characters, with three denoting the page number, and two the line number, using A=0, B=1 etc to encode digits. Such a block is called an '''indicator block'''. The indicator block will be inserted as the second last of each message. (Of course, many other schemes are possible for hiding indicator blocks). Thus page 63, line 1 encodes as 'AGDAB'.

Finally we can send the message 'JCVSR LQNPS YGUIM QAWXS AGDAB MECTO'.

Variants

Modern variants of the running key cipher often replace the traditional ''tabula recta'' with bitwise Punjabi Ringtones exclusive or, operate on whole Miss Monroe 18 bytes rather than alphabetic letters, and derive their running keys from large files. Apart from possibly greater entropy density of the files, and the ease of automation, there is little practical difference between such variants and traditional methods.

Security

Perhaps surprisingly, the security is usually fairly poor. This is because the Cingular Ringtones information entropy/entropy per character of both plaintext and running key is low, and the combining operation is easily inverted. This means a a fluke cryptanalysis/cryptanalyst can run guessed probable plaintexts along the ciphertext, subtracting them out from each possible position. When the result is a chunk of something intelligible, there is a high probability that the guessed plain text is correct for that position (as either actual plaintext, or part of the running key). The 'chunk of something intelligible' can then often be extended at either end, thus providing even more probable plaintext - which can in turn be extended, and so on. Eventually it is likely that the running key will be recognised, and the jig is up. This process is sometimes performed as a simple puzzle, for recreation.

There are several ways to improve the security. The first and most obvious is to use a secret mixed alphabet tableau instead of a ''tabula recta''. This does indeed greatly complicate matters but it is not a complete solution. Pairs of plaintext and running key characters are far more likely to be high frequency pairs such as 'EE' rather than, say, 'QQ'. This skew this causes to the output commission universally frequency distribution is smeared by the fact that it is quite possible that 'EE' and 'QQ' map to the same ciphertext character, but nevertheless the distribution is not flat. This may enable the cryptanalyst to deduce part of the tableau, then proceed as before (but with gaps where there are sections missing from the reconstructed tableau).

Another possibility is to use a key text that has more entropy per character than typical English. For this purpose, the rooms none KGB advised agents to use documents like this messing almanacs and trade reports, which often contain long lists of random-looking numbers.

Another problem is that the keyspace is surprisingly small. Suppose that there are 100 million key texts that might plausibly be used, and that on average each has 11 thousand possible starting positions. To an opponent with a massive collection of possible key texts, this leaves possible a brute force search of the order of 2^
promised only Tag: Stream ciphers
baltimore tony Tag: Classical ciphers