An easier, simpler and faster way of doing this is:
First 13 letters: A|B|C|D|E|F|G|H|I|J|K|L|M
Last 13 Letters: Z|Y|X|W|V|U|T|S|R|Q|P|O|N
Atbash can also be used to mean the same thing in any other alphabet as well. This is a very simple substitution cipher.
For example, in Atbash, the letters "nlmvb" indicate the word "money".
A few English words 'Atbash' into other English words. For example, "hob"="sly", "hold"="slow", "holy"="slob", "horn"="slim", "zoo"="all", "irk"="rip", "low"="old", "glow"="told", and "grog"="tilt".
It is a very weak cipher because it only has one possible key, and it is a simple monoalphabetic substitution cipher. However, this may not have been an issue in the cipher's time.
The Atbash cipher is referenced in Google's Da Vinci Code Quest, in which participants must decode a common word from Atbash.
The Atbash Cipher as an Affine cipher
The Atbash cipher can be seen as a special case of the Affine cipher.
If you define the first letter of the alphabet to be 0, the second letter to be 1 and so on up to the last letter of the alphabet being the number of letters in the alphabet-1; then the Atbash cipher may be enciphered & deciphered using the encryption function for an Affine cipher:
Where, for the Atbash cipher: a = b = (m − 1) in which m is the number of letters in the alphabet (m = 26 for monocase English).
This may be simplified to:
If, instead, the first letter of the alphabet is defined to be 1, the second letter to be 2 and so on, the encryption function for the Affine Cipher becomes:
Where, for the Atbash cipher: a = (m − 1), b = 1 in which m is the length of the alphabet.
