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I've been searching but I cant find anything about this... only EC Diffie-Hellman with symmetric cryptography, which is exactly what I do not want :(

Imagine this:

  • generate a random private key, k
  • then calculate a "public key" with ECC, d=kG

The algorithm I'm looking for is this: any message cyphered with the public key will "only" be decyphered by the owner of the private key.

Does this exists? Has anything like this been developed yet?

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Have you looked at Elliptic Curve Cryptography? –  JSchlather Oct 2 '12 at 9:11
    
yes... I havent found solution yet –  Funenga Oct 5 '12 at 19:14
    
I'm a little confused. Did you look at the section on ECDSA which is a public key algorithm based on ECC? –  JSchlather Oct 6 '12 at 20:16
    
yes i have... In section "Key and signature size comparison to DSA" its written: "Suppose Alice wants to send a signed message to Bob.". Also in "Signature verification algorithm" step 2 has: "e=HASH(m)" That m is the plain text message. This means that ECDSA is only used to check the message integrity. As far as the algorithm is concerned, the trasnmission can be: "plain_text_message+signature"... :( –  Funenga Oct 7 '12 at 8:49

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