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There is no Diffie-Hellman but Elliptic Curve Diffie-Hellman – Key Material

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When I first learned about Diffie-Hellman and especially elliptic curve Diffie-Hellman, I had one rather obvious question: Why elliptic curves? Why use this strange group that seems rather arbitrar…

When I first learned about Diffie-Hellman and especially elliptic curve Diffie-Hellman, I had one rather obvious question: Why elliptic curves? Why use this strange group that seems rather arbitrary, with its third intersection of a line and then reflected? Why not use, say, the Monster Group ? Surely a monster is better equipped to guard your secrets than some curve thing named after, but legally distinct from, a completely different curve thing! I wouldn’t have a satisfying answer to this question until way into my graduate studies, and the answer makes a perfect blog post for the &#82

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