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An Elliptic Curve Cryptography
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Diffie-Hellman - a way
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A serious cryptosystem that was deployed: MS-DRM
There is another famous elliptic curve cryptosystem that involves elliptic curves. Read about it in detail in Section 6.4.2 of my book, which is at
http://modular.math.washington.edu/ent
.
William Stein 2006-07-07