Construction of S-boxes and Their Application in RGB Image Encryption

Abstract

The ease of access and simplicity in handling digital content, such as electronic advertising, videos, audio, digital repositories, electronic libraries, and web design, raise several security concerns. With the widespread availability of digital information through the internet and other sources, researchers have been focusing on developing secure solutions to protect data security. Digital images play a crucial role in communication between different locations. Secure communication occurs when two entities exchange information without the need for a third party to eavesdrop. Keeping this in mind, experts have proposed various techniques for ensuring the secure transmission of digital data. While there are numerous secure technical methods documented in the literature, there is always room for improvement in safeguarding data security. The important component of modern cryptographic systems is S-boxes. They make the cryptosystem nonlinear and ensure its cryptographic security. Moreover, a novel approach to Rijndael S-box construction and a comprehensive study of hyper elliptic curve cryptography with S-box generation for public key cryptography has been a topic of interest in the cryptographic community for recent decades. Furthermore, a novel approach to Rijndael S-box construction and a comprehensive study of hyper elliptic curve cryptography with S-box generation for public key cryptography are algebraic structures that are commonly used in the design of cryptographic systems, as they provide a suitable platform for constructing S-boxes with good cryptographic properties. In our work, we presented a method for constructing highly nonlinear S-boxes using a novel approach to Rijndael S-box construction and a comprehensive study of hyper elliptic curve cryptography with S-box generation for public key cryptography, which has exactly 256 elements. Another objective of this work is the creation of an encryption technique for colored (RGB) images using obtained S-boxes. We have presented an RGB color image encryption application to assess the performance of our new S-boxes. In the first chapter, we discussed about some terms of cryptography and terminologies used in the dissertation. This chapter is divided into two sections. Where we have discussed some fundamental concepts of cryptography and some key points to understand this dissertation easily. In the second chapter, a historical background and the algebraic method that was described in the reviewed paper for constructing of S-boxes is introduced. The results of methods used to compare the performance of the suggested S-boxes with standard S-boxes are also described in the table and in the end, some color image encryption methods utilize the suggested S-boxes. In the last chapters, we have introduced a new method to construct a novel iv approach to Rijndael S-box construction and a comprehensive study of hyper elliptic curve cryptography with S-box generation for public key cryptography containing 256 elements and then used these newly constructed S-boxes in RGB image encryption to check their competence.