Re:WhatsApp end-to-end encrypted backups security assessment
by cassonmars on Thursday November 11, 2021 @12:04AM
(#29184594)
It can effectively be the same. Consider ECDH as key agreement, passed into a KDF such as a hashing algorithm, potentially with additional input, then using that value as the private key — the security assumptions then become the Square Computational Diffie-Hellman and whatever assumption(s) are in the hashing algorithm, the former is proven to be equivalent difficulty to the general CDH assumption.
I have only used key derivation in symmetric protocols, so tbh I don't know how you do deterministic asymmetric key generation, or even which primitive uses it.