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Linear Algebra in Cryptography: The Enigma Machine …

Linear Algebra in cryptography : The Enigma Machine David Moody, Haysun Choi, and Tyler Adams It was a mathematical mystery to both the British and Polish intelligence services, before and during World War Two: the Enigma Machine . Developed by a German engineer, the Enigma Machine was capable of transcribing text into a coded format that was indecipherable to everyone except the Germans. Therefore, Germany became very reliant on the Enigma Machine . It was used to encipher the communications that would only be deciphered by other militant Germans. The Enigma Machine came into major use due to Germany's first cryptographic failures in World War One. Polish Intelligence had determined how to read some of the messages they intercepted. However, this became less feasible as the Machine was made more complex through the addition of new circuits and plugs.

few different forms of matrices applicable to the subject. On the way, we will apply these matrices to the functions they represented on the Enigma machine. Basic Matrices Used in Alphabet Manipulation So, we begin with a basic Identity matrix, 26x26 so that we can map a letter to each position on

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www.math.utah.edu

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mkilme01.pages.tufts.edu

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