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It can be shown as follows that decryption function is the inverse of the encryption function, Read more ...
Applying ROT13 to a piece of text merely requires examining its alphabetic characters and replacing each one by the letter 13 places further along in the alphabet, wrapping back to the beginning if necessary.
Encryption of a letter x by a shift n can be described mathematically as Plaintext: Decryption is performed similarly, (There are different definitions for the modulo operation. I.e., if x n or x-n are not in the range 0...25, we have to subtract or add 26.) Read more ...
Atbash is an ancient encryption system created in the Middle East. The Atbash cipher is a simple substitution cipher that relies on transposing all the letters in the alphabet such that the resulting alphabet is backwards.
The transformation can be represented by aligning two alphabets, the cipher alphabet is the plain alphabet rotated left or right by some number of positions.
When encrypting, a person looks up each letter of the message in the 'plain' line and writes down the corresponding letter in the 'cipher' line. The encryption can also be represented using modular arithmetic by first transforming the letters into numbers, according to the scheme, A = 0, B = 1,..., Z = 25.
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It then uses modular arithmetic to transform the integer that each plaintext letter corresponds to into another integer that correspond to a ciphertext letter.
The encryption function for a single letter is where modulus m is the size of the alphabet and a and b are the key of the cipher.
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