Predicate encryption (PE), formalized by Katz et al., is a new paradigm of public-key encryption that conceptually captures the public-key encryption that supports fine-grained access control policy. Because of the nature of PE, it is used for cloud storage so that users can retrieve encrypted data without revealing any information about the data to cloud servers and other users. Although lots of PE schemes have been studied, the predicate-hiding security is seldom considered; that is, the user’s secret key may leak sensitive information of the predicate. Additionally, the security of the current predicate-hiding PE schemes relies on the discrete logarithm assumption which cannot resist the quantum attacks in the future. In this paper, we propose a generic PE for inner product under symmetric-key setting, called private IPE, from specific key-homomorphic pseudorandom function (PRF). The rigorous proofs are provided to show that the construction is payload-hiding, attribute-hiding, and predicate-hiding secure. With the advantage of the generic construction, if the underlying PRF can resist quantum attacks, then, through our proposed generic construction, a quantum-resistant private IPE can be obtained.

中文翻译：

---

密钥同态伪随机函数对内部乘积的私有谓词加密

Katz等人正式定义的谓词加密（PE）是公钥加密的新范例，它在概念上捕获了支持细粒度访问控制策略的公钥加密。由于PE的性质，它用于云存储，因此用户可以检索加密的数据，而无需向云服务器和其他用户透露有关数据的任何信息。尽管已经研究了许多PE方案，但很少考虑谓词隐藏安全性。也就是说，用户的密钥可能会泄漏谓词的敏感信息。另外，当前的隐藏谓词PE方案的安全性依赖于离散对数假设，该假设不能抵抗未来的量子攻击。在本文中，我们提出了一种在对称密钥设置下用于内部产品的通用PE，称为私有IPE，来自特定的密钥同形伪随机函数（PRF）。提供了严格的证明，以证明该构造是有效载荷隐藏，属性隐藏和谓词隐藏安全的。利用通用结构的优势，如果底层的PRF可以抵抗量子攻击，那么通过我们提出的通用结构，可以获得抗量子的私有IPE。