Abstract
In a selective-opening chosen ciphertext (SO-CCA) attack on an encryption scheme, an adversary A has access to a decryption oracle, and after getting a number of ciphertexts, can then adaptively corrupt a subset of them, obtaining the plaintexts and corresponding encryption randomness. SO-CCA security requires the privacy of the remaining plaintexts being well protected. There are two flavors of SO-CCA definition: the weaker indistinguishability-based (IND) and the stronger simulation-based (SIM) ones. In this paper, we study SO-CCA secure PKE constructions from all-but-many lossy trapdoor functions (ABM-LTFs) in pairing-friendly prime order groups. Concretely,
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