Volume-Hiding Multidimensional Verifiable Dynamic Searchable Symmetric Encryption Scheme for Cloud Computing

Considerable attention has been directed toward dynamic searchable symmetric encryption (DSSE) since it has the capability to both search and update the encrypted database. Nevertheless, the majority of DSSE schemes operate in single dimensions, and the server is assumed to be honest but curious. Consequently, there are two significant issues that must be addressed. One concerns how searchable operations can be implemented in a multidimensional space. Another is the construction of a search-result-verifiable DSSE scheme within a malicious server model. In response to the above-mentioned problems, we proposed a multidimensional verifiable DSSE scheme with volume hiding. Our design leverages the combination of various query methods across different dimensions to enable a wide array of search modes. The state chain is used in the scheme to guarantee forward privacy, while backward privacy is ensured through the encryption of the index. Our scheme employs a bitmap index of the same length to represent multiple file addresses that match a keyword, ensuring size consistency in search results, also known as volume hiding. Multiset hash function is used to construct the verifiable search result. The security of the scheme is analyzed using a simulation-based proof method based on leakage functions.