I'm familiar with RSA and ECDH.  I know how to do this with RSA, but I greatly 
prefer the speed of ECC.

Is there some way to do this with ECC?  Perhaps I just need to use one of the 
other variants - ECDSA, etc?

Two questions:

I would like to encrypt something and store it in a public server, knowing that 
it's secure and can only be decrypted with my private key.  (I'm looking for an 
ECC equivalent of RSA Encrypt()).

and

I would like to sign something, so another party who has my public key can 
verify that I signed it.  (I'm looking for the ECC equivalent of RSA Sign())

Thanks...

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