An Adaptively Secure NIPE Scheme based on DCR Assumption

Abstract

Non-zero inner product encryption provides fine-grained access control to private data, but the existing non-zero inner product encryption schemes are mainly constructed based on the problem of bilinear groups and lattices without homomorphism. To meet the needs of users to control private data and cloud servers to directly process ciphertexts in a cloud computing environment, this paper designs a non-zero inner product encryption scheme based on the DCR assumption. Specifically, the access control policy is embedded in the ciphertext by a vector y, and the user attribute vector x is embedded in the secret key. If the inner product of the policy vector y of the encryptor and the attribute vector x of the decryptor is not zero, the decryptor can decrypt correctly. This scheme has additive homomorphism in the plaintext-ciphertext space, and it can be proved to be additive homomorphic and adaptively secure.