Introduction to Elliptic Curve Cryptography

This document should be considered as a tutorial to elliptic curve cryptography. It is assumed that the reader has a basic understanding of cryptography and additionally, has a basic understanding of abstract algebra and elementary number theory. A lot of dierent aspects are discussed, but lots of things are spared. The motivation of this document is to provide the reader with facts about the use of elliptic curves in cryptography, so lots of (beautiful) maths is not included for the sake of concreteness. Enjoy reading!

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