Selective Opening Secure Functional Encryption

Functional encryption (FE) has more fine-grained control to encrypted data than traditional encryption schemes. The well-accepted security of FE is indistinguishability-based security (IND-FE) and simulation-based security (SIMFE), but the security is not sufficient. For example, if an adversary has the ability to access a vector of ciphertexts and can ask to open some information of the messages, such as coins used in the encryption or secret key in multikey setting, whether the privacy of the unopened messages is guaranteed. This is called selective opening attack (SOA). In this paper, we propose a stronger security of FE which is secure against SOA (we call SOFE) and propose a concrete construction of SO-FE scheme in the standard model. Our scheme is a non-adaptive IND-FE which satisfies selective opening secure in the simulation sense. In addition, the scheme can encrypt messages of any bit length other than bitwise and it is secure against SOA-C and SOAK simultaneously while the two attacks were appeared in different model before. According to the different functionality f, our scheme can specialize as IBE, ABE and even PE schemes secure against SOA.