Identity-based proxy re-encryption without random oracles

A proxy re-encryption scheme allows Alice to temporarily delegate the decryption rights to Bob via a proxy. Alice gives the proxy a re-encryption key so that the proxy can convert a ciphertext for Alice into the ciphertext for Bob. In this paper, we propose two identity-based proxy re-encryption schemes, which are both proved secure in the standard model. The first one is efficient in both computation and ciphertext length, and the other one achieves chosen-ciphertext security. Our solutions answer the open problems left in the previous work.