The Industrial Internet of Things (IIoT) represents a variety of IoT applications in the industrial sector of economy and is heavily underpinned by computational capabilities of cloud computing to reduce the cost of on-demand services. However, cloud computing does not protect the privacy of the outsourced data unless some form of encryption is applied. Recently, some Certificateless Authenticated Encryption with Keyword Search (CLAEKS) schemes have been proposed. However, it is known in the literature that the security of these schemes is proved based on a weak security model. In this paper, we first provide a more powerful and realistic security model for CLAEKS schemes. Then, we propose a new CLAEKS scheme and prove its security in the enhanced security model. The comparison results show that the proposed CLAEKS scheme is the only existing searchable encryption scheme in the certificateless setting that is secure in the enhanced security model.

工业物联网（IIoT）代表了经济工业部门中的各种IoT应用，并且在很大程度上依靠云计算的计算能力来降低按需服务的成本。但是，除非应用某种形式的加密，否则云计算不会保护外包数据的隐私。最近，已经提出了一些带有关键字搜索的无证书认证加密（CLAEKS）方案。然而，在文献中已知这些方案的安全性是基于弱安全性模型证明的。在本文中，我们首先为CLAEKS方案提供了更强大，更现实的安全模型。然后，我们提出了一种新的CLAEKS方案，并在增强的安全模型中证明了其安全性。