A Novel Scheme of Image Encryption Based on Elliptic Curves Isomorphism and Substitution Boxes

Abstract

In this manuscript, we propose an image encryption technique by using isomorphic elliptic curves which are proved to be effective against side-channel attacks and have efficient key size as compared to other public-key structures. The proposed technique counts on the Kobltiz method to convert plain images into elliptic curve points. These points are then mapped to the isomorphic curve and are the reason for diffusion in the ciphertext. Besides this diffusion mechanism, elliptic curve points are also involved in the construction of small substitution boxes for confusion. This proposed confusion and diffusion technique also provides quality security in response to well-known cryptographic attacks as established by the number of statistical results and security analysis.

Keywords

• Cryptography
• elliptic curve isomorphism
• Kobltiz method
• image encryption
• security analyses