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Predicate encryption is an important cryptographic primitive that has been recently studied and that has found wide applications as it allows for fine-grained key management. Roughly speaking, in a predicate encryption scheme for predicate Q the owner of the master secret key Msk can derive secret key SkQ, for any predicate Q for a specified class of predicates. In encrypting plaintext M, the sender can specify an attribute vector ~x and the resulting ciphertext Ct can be decrypted only by using keys SkQ such that Q(~x) = 1.
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