Claude Shannon's Contribution to Cryptography

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Before approaching Claude Shannon’s contribution to Cryptography, one must look at his prior work in particular in the field of information theory, a field he theorized in his 1948 paper A Mathematical Theory of Information. Shannon introduced a lot of the ideas that were mentioned and developed in this revolutionary paper to the scientific community in his 1945 paper entitled A Mathematical Theory of Cryptography.
Indeed, during the Second World War, Shannon decided to join the Bell Labs, a research facility concentrating many prominent scientists of the time who decided to use their talent to serve the war effort. While he was working at the Bell Labs, the facility was in charge of many secret projects such as the development of the X system. The X system referred to “an encrypted radiotelephone system to connect Washington and London.” Although Shannon was not part of the project per se, he was asked to test the inscription scheme of the project. This inscription scheme was based on two very important concepts, namely “sampling” and “quantization.” “The idea was to approximate a continuous signal by a series of steps – as if we superimpose the continuous signal by what seems a stairway that goes up and down following the shape of the signal.” Sampling refers the action of choosing those steps while quantization refers to the action of defining the height of each step. This process enabled to approximate continuous signals with series of discrete steps. When applied to the telephone, it enabled the high command in both London and Washington to communicate with each other knowing that the Germans would never pick up on their conversations. One of the problems though was that since the message was broken down into steps before ...

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...ot describe how to achieve this outcome.
It is the discovering we just described that allowed Shannon to publish in 1949 his paper Communication Theory of Secrecy Systems in which he developed the concept of a Cryptosystem. To understand the revolutionary nature of this publication, we are now going to describe what cryptography was before its publication.
Polyalphabetic substitution ciphers were developed during the Renaissance period in Europe and were the dominant type of encrypting for confidential messages during both World Wars. The Second World War was one that was considered especially technological. Cryptography was very important and whoever would break the other side’s code would have an enormous advantage in the war. In the end, the British with the help of Alan Turing broke the German code “Enigma” and the Americans broke the Japanese code “Purple.”

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