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Cryptography: Matrices and Encryption

cryptography : Matrices and Encryption By: Joseph Pugliano and Brandon Sehestedt Abstract The focus of this project is investigating how to generate keys in order to encrypt words using Hill Cyphers. Other forms of Encryption will also be looked at, such as the enigma Encryption from World War II, and comparisons are drawn between the two. The effectiveness of the encryptions is studied, and alternate, more secure means of Encryption are presented as well. Introduction Lester Hill invented the Hill Cypher in 1929. At the time, the cypher was one of the first to be able to operate on more than three letters or symbols during a single Encryption or decryption operation. However, as the number of symbols increases, the arithmetic required to perform the Encryption becomes more and more difficult, as we will see shown later on.

mathematicians by using Linear Algebra. When the war broke out the Germans created a more effective enigma machine that included wires in the front to mix the letters up even more and make the code that much more difficult to crack. With the new features the enigma machine had 15 x 10^18 different combinations. This was

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