Elliptic Curve algorithm equivalent to RSA's asymmetric encryption?

[ffunenga]

I've been searching but I cant find anything about this... only EC Diffie-Hellman [1] 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?

[1] http://en.wikipedia.org/wiki/Elliptic_curve_Diffie%E2%80%93Hellman

[CIYAM]

Did you look at this link?

http://en.wikipedia.org/wiki/Elliptic_Curve_DSA

[ffunenga]

yes i have
In section "Key and signature size comparison to DSA" its written: "Suppose Alice wants to send a signed message to Bob."
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"

What I want is a way to cypher a message in a asymmetric fashion, just like RSA.

[CIYAM]

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"

Interesting - I must admit I have never properly looked into the details of ECDSA before (and although my logic is good my other math is rather average).

As the Bitcoin ledger is public it of course makes sense that nothing is encrypted but instead just correctly signed.