Abstract
A proxy re-encryption PRE scheme supports the delegation of decryption rights via a proxy, who makes the ciphertexts decryptable by the delegatee. However, how to structure a chosen-ciphertext secure proxy re-encryption scheme without pair is still an open question. In this paper, by adjusting the Schnorr signature scheme and giving the accessional ciphertext components, a bidirectional which the proxy is able to transform ciphertexts in both directions proxy broadcast re-encryption schemes PBRE was proposed without pair, and the reduction of scheme's security is the computational Diffie-Hellman CDH assumption. The proof of security shows that the proposed scheme is chosen-ciphertext attack secure in the random oracle model.
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