PG-13 | | Biography, Drama, Thriller
During World War II, mathematician Alan Turing tries to crack the enigma code with help from fellow mathematicians.
Joan and Alan sit on the grass, and Joan says "... but Euler's Theorem gives you that immediately", and there is a very brief shot of some mathematics in a notebook. The notebook sets out some equations involving prime numbers and modulus arithmetic... ...
Are you paying attention? Good. If you're not listening carefully you will miss things. Important things. I will not pause, I will not repeat myself, and you will not interrupt me. If you think that because you're sitting where you are and I am ...
Alan Turing's team calls him out, saying they are the only ones who have been making anything progress. His team mentions that they used letter frequency analysis, to break some of the transmissions. However, letter frequency analysis is an attack that works well on substitution ciphers, but wouldn't have worked well on the Enigma. Letter frequency analysis works by analysis the frequency of letters in a language, as well as the frequency of letters in a cipher text. You then replace the cipher text letters with the corresponding language letter as ranked by frequency. If the newly generated plaintext is not fully decrypted, a person can usually find the errors easily. This attack would not work well on the Enigma, as it was not a simple substitution cipher. The rotors would click forward one position for each letter entered. Therefore, the key was, in part, based on the position of the letter in the plaintext. Typing the same letter consecutively would return a different cipher letter for each iteration of the letter, because the key for letter n is related to letter n-1.
$479,352 (USA) (28 November 2014)
$91,121,452 (USA) (8 May 2015)
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