Why are we interested in elliptic curves in asymmetric

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Question: Why are we interested in Elliptic Curves in Asymmetric Cryptography? Elliptic Curve definition (9.1.1) and its graph. What is the identity element and inverse element in EC? Point addition and point doubling (lfl ask you this question, I will provide you the formula given on page 244). What is the Elliptic Curve Discrete Logarithm problem? a Double-and-Add Algorithm for fast point multiplication. You should understand the concept of it. 0 Know the protocol of Elliptic Curve Diffie Hellman Key Exchange.

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