Abstract
In this work, we put forth the notion of compatibility of any key generation or setup algorithm. We focus on the specific case of encryption, and say that a key generation algorithm \(\mathsf {KeyGen}\) is \(\mathsf {X}\text {-compatible}\) (for \(\mathsf {X} \in \{\mathsf {CPA},\mathsf {CCA1},\mathsf {CCA2}\}\)) if there exist encryption and decryption algorithms that together with \(\mathsf {KeyGen}\), result in an \(\mathsf {X}\)-secure public-key encryption scheme.
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