Fully-Anonymous Functional Proxy-Re-Encryption

In this paper, we introduce a general notion of functional proxy-re-encryption (F-PRE), where a wide class of functional encryption (FE) is combined with proxy-re-encryption (PRE) mechanism. The PRE encryption system should reveal minimal information to a proxy, in particular, hiding parameters of re-encryption keys and of original ciphertexts which he manipulate is highly desirable. We first formulate such a fully-anonymous security notion of F-PRE including usual payload-hiding properties. We then propose the first fully-anonymous inner-product PRE (IP-PRE) scheme, whose security is proven under the DLIN assumption and the existence of a strongly unforgeable one-time signature scheme in the standard model. Also, we propose the first ciphertext-policy F-PRE scheme with the access structures of Okamoto-Takashima (CRYPTO 2010), which also has an anonymity property for re-encryption keys as well as payload-hiding for original and re-encrypted ciphertexts. The security is proven under the same assumptions as the above IP-PRE scheme in the standard model. For these results, we develop novel blind delegation and new hidden subspace generation techniques on the dual system encryption (DSE) technique and the dual pairing vector spaces (DPVS). These techniques seem difficult to be realized by a composite-order bilinear group DSE approach.