Homomorphic Encryption: Theory & Applications

TL;DR

This paper surveys homomorphic encryption techniques, their fundamental theories, classical schemes, applications, and recent advances like fully homomorphic encryption, highlighting emerging research trends in cryptography.

Contribution

It provides a comprehensive overview of homomorphic encryption, including classical schemes, applications, and recent developments such as fully homomorphic encryption.

Findings

Survey of classical homomorphic encryption schemes

Discussion of applications and properties

Introduction to fully homomorphic encryption and research trends

Abstract

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.