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Hosen ciphertext security (CCA security) hosen ciphertext security (CCA security) C is now a widely accepted necessary security notion for public key encryption. CCA secure public verifiable public key encryption has many applications such as threshold public key encryption and proxy re-encryption etc. Furthermore, these years \"Random oracle model\" has seen risen criticize by many cryptographers. Hence, researchers give great effort to pursue public key public key encryption with publicly verifiability in the standard model. However, all the existing CCA secure publicly verifiable public key encryption in the standard model relies on costly bilinear pairing.
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