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cipher In this case, every letter of the plaintext might be substituted with a different letter three away from the original letter to obtain the ciphertext Other schemes, such as monoalphabetic substitution, polyalphabetic substitution, homophonic substitution, exist Interested readers could look at [7] for details A transposition cipher (also called permutation cipher) spreads redundancy in plaintext over the ciphertext This is the property of diffusion More precisely, diffusion dissipates the statistical structure of the plaintext over the bulk of the ciphertext As a result, a change in a single bit of plaintext can result in changes to multiple ciphertext bits In other words, the effect of a change in the plaintext is spread to many parts of the ciphertext Classical transposition ciphers obtain the ciphertext from the plaintext by rearranging the order of letters The actual letters used in the ciphertext are not altered from the plaintext A problem with both substitution and transposition ciphers is that they are not strong enough by themselves Therefore, in order to create harder ciphering algorithms, researchers did consider the use of several ciphers in succession However, two substitutions make a more complex substitution Similarly, two transpositions make a more complex transposition On the other hand it was observed that combining both these type of ciphers (substitution followed by a transposition or vice versa) could lead to stronger symmetric key algorithms Such hybrid ciphers are called product ciphers Product ciphers represent advancement over classical symmetric key cryptography and are considered to be the bridge from classical to modern symmetric ciphers The basic idea behind product ciphers is to build a complex cipher by composing several simple operations Each operation by itself offers insuf cient protection while the combined operations offer complementary protection Several modern symmetric ciphers such as data encryption standard (DES) and advanced encryption standard (AES) are product ciphers The current state of the art block cipher is AES The other algorithm that was widely used but whose use is now deprecated is DES DES was adopted in 1977 by what is now the National Institute of Standards and Technology (NIST) Originally, this was developed as the Lucifer cipher by a team from IBM led by Feistel Lucifer used 64 bit data blocks with 128 bit keys This algorithm was then redeveloped as a commercial cipher with input from the National Security Agency (NSA) and others The revised Lucifer cipher was eventually accepted as DES DES encrypts data in block sizes of 64 bits while using a 56 bit key The 56 bit key is expanded to 64 bits using 8 parity bits DES is ef cient to implement in hardware and is relatively slow if implemented in software DES has seen considerable controversy over its security There was speculation that the reason for the short key was to have weak security This could allow NSA to break the key Additionally, the design criteria were also classi ed, strengthening the speculation Subsequent events and public analysis show in fact that the design was appropriate DES had come to be widely used, especially in nancial applications Encryption in DES is done over 16 stages (rounds) with each round being functionally equivalent Each round has eight xed carefully selected substitution mappings and also a permutation function Each round also makes use of a 48 bit subkey These subkeys are generated from the initial 64 bit key The structure of DES corresponds to a Feistel cipher [7] DES has many desirable properties Each bit of the ciphertext depends on all bits of the key and all bits of the plaintext Further, there is no statistical relationship evident between plaintext and ciphertext Altering any single plaintext or key bit alters each ciphertext bit with a 50 percent probability Altering a ciphertext bit results in an unpredictable change to the recovered plaintext This makes attempts by the adversary to home-in by guessing keys impossible However, brute force approaches to break.

*Eduardo Porter, Japanese Cars, American Retirees, the New York Times, May 19, 2006, wwwnytimescom/2006/05/19/automobiles/19auto html

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