Homomorphic Encryption: Theory & Applications
It serves as an educational resource for researchers and practitioners in cryptography, but is incremental as it reviews existing literature rather than presenting new findings.
This chapter provides a survey of homomorphic encryption techniques, covering fundamental theories, classical schemes, and applications, with a focus on fully homomorphic encryption as a key research direction.
The goal of this chapter is to present a survey of homomorphic encryption techniques and their applications. After a detailed discussion on the introduction and motivation of the chapter, we present some basic concepts of cryptography. The fundamental theories of homomorphic encryption are then discussed with suitable examples. The chapter then provides a survey of some of the classical homomorphic encryption schemes existing in the current literature. Various applications and salient properties of homomorphic encryption schemes are then discussed in detail. The chapter then introduces the most important and recent research direction in the filed - fully homomorphic encryption. A significant number of propositions on fully homomorphic encryption is then discussed. Finally, the chapter concludes by outlining some emerging research trends in this exicting field of cryptography.