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Rearrangements FAQ
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The Caesar cipher is based on transposition and involves shifting each letter of the plaintext message by a certain number of letters, historically three, as shown in Figure 5.1. The ciphertext can be decrypted by applying the same number of shifts in the opposite direction.
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The Caesar Cipher, used by Julius Caesar around 58 BC, is a substitution cipher that shifts letters in a message to make it unreadable if intercepted. To decrypt, the receiver reverses the shift. Arab mathematician Al-Kindi broke the Caesar Cipher using frequency analysis, which exploits patterns in letter frequencies.
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To decipher it, the recipient has to work out the column lengths by dividing the message length by the key length. Then, write the message out in columns again, then re-order the columns by reforming the key word.
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Transposition cipher is also susceptible to many different attacks. A single columnar transposition could be attacked by guessing possible column lengths, writing the message out in its columns, and then looking for possible anagrams.
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The Caesar Cipher is one of the simplest symmetric encryption techniques, and of course, one of the easiest to crack. Since then, cryptologists have invented many more symmetric encryption techniques, including the ones used today to encrypt data like passwords.
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Transposition need not only apply to symbols in a text. The Advanced Encryption Standard (AES) contains a transposition step that reorders the bytes in a 16-byte array.
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Columnar transposition For example, the keyword ZEBRAS is of length 6 (so the rows are of length 6), and the permutation is defined by the alphabetical order of the letters in the keyword. In this case, the order would be "6 3 2 4 1 5".
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A transposition cipher is one in which the order of characters is changed to obscure the message. An early version of a transposition cipher was a Scytale[1], in which paper was wrapped around a stick and the message was written.
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