Biblio

Reliable and scalable storage systems are key to cloud-based applications. In cloud storage, users store their data on remote servers rather than their local computers. Secure storage is used to ensure the safety of data in clouds. As more and more users rely on third-party cloud vendors to store their data, concerns have arisen among users and cloud providers. Encryption-based approaches are commonly used in secure storage systems. Data are encrypted and stored on persistent storage like disks and flash memories. When data are needed by the users, they are decrypted and accessed by the users. This way of managing data hurts the scalability and throughput of cloud systems. In the meantime, cloud systems have to perform fault-tolerance strategies on data, which also brings performance deduction. The combination of these issues cause a high price for data security in cloud systems. Aware of such issues. we propose methods to reduce the overhead of secure storage while guaranteeing the safeness of data.

The expeditious expansion of the networking technologies have remarkably driven the usage of the distributedcomputing as well as services, such as task offloading to the cloud. However, security and privacy concerns are restricting the implementations of cloud computing because of the threats from both outsiders and insiders. The primary alternative of protecting users' data is developing a Fully Homomorphic Encryption (FHE) scheme, which can cover both data protections and data processing in the cloud. Despite many previous attempts addressing this approach, none of the proposed work can simultaneously satisfy two requirements that include the non-noise accuracy and an efficiency execution. This paper focuses on the issue of FHE design and proposes a novel FHE scheme, which is called Optimal Fully Homomorphic Encryption (O-FHE). Our approach utilizes the properties of the Kronecker Product (KP) and designs a mechanism of achieving FHE, which consider both accuracy and efficiency. We have assessed our scheme in both theoretical proofing and experimental evaluations with the confirmed and exceptional results.