I am trying to understand Hybrid encryption. When I first came across the term I though it is used to describe a scheme where the message is encrypted using a symmetric key, and the symmetric key is then encrypted using the receiver public key. Both (encrypted message and key) are then sent to the receiver.
But it seems I might be mistaken. I came across ECIES (Elliptic Curve Integrated Encryption Scheme ) - and it looks like this is a distinct primitive and means hybrid encryption. But how is it hybrid? Does it first use symmetric encryption and then asymmetric encryption?
If yes, then why does it have a separate name? If not then why is it called hybrid encryption?