The Enigma cipher machine had the confidence of German forces who
depended upon its security. This misplaced confidence was due in
part to the large key space the machine provided. This paper
derives for the first time the exact number of theoretical
cryptography key settings and machine configuration for the Enigma
cipher machine. It also calculates the number of practical key
settings Allied cryptanalysts were faced with daily throughout
World War II. Finally, it shows the relative contribution each
component of the Enigma added to the overall strength of the
machine.
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