An Adaptively Secure NIPE Scheme based on DCR Assumption

Haiying Gao, Chao Ma
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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.
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基于DCR假设的自适应安全NIPE方案
非零内积加密提供了对私有数据的细粒度访问控制,但现有的非零内积加密方案主要是基于双线性群和非同态格的问题构造的。为了满足云计算环境下用户控制私有数据和云服务器直接处理密文的需求,本文基于DCR假设设计了一种非零内积加密方案。具体来说,访问控制策略通过向量y嵌入到密文中,用户属性向量x嵌入到密钥中。如果加密者的策略向量y与解密者的属性向量x的内积不为零,则解密者可以正确解密。该方案在明文-密文空间具有加性同态,证明了该方案是加性同态和自适应安全的。
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