Cubic curves in cryptography offer some advantages compared to the other cryptosystems, and they are considered safer if using the same length key. In the master thesis we will first learn some basic definitions and theorems about cubic curves. Then we will present the uses of cubic curves in cryptography, where we will study some cryptosystems and analyze their weaknesses. An important topic discussed will also be safety, which will be studied with multiple attacks on curves. This way we will get a basic idea of which curves are (not) suitable for the use in cryptography.
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