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Elliptic Curve Diffie-Hellman Key Exchange<br />
Public Knowledge: A group E(F p ) and a point P of order n.<br />
BOB ALICE<br />
Choose secret 0 < b < n Choose secret 0 < a < n<br />
Compute Q Bob = bP Compute Q Alice = aP<br />
Send Q Bob<br />
Compute bQ Alice<br />
to Alice<br />
to Bob Send Q Alice<br />
Compute aQ Bob<br />
Bob and Alice have the shared value bQ Alice = abP = aQ Bob<br />
Presumably(?) recovering abP from aP and bP requires<br />
solving the elliptic curve discrete logarithm problem.<br />
Yeah, I stole this one too.
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