An Encryption Scheme Using Multi-Scroll Memristive Chaotic System

Abstract

In this paper, a novel multi-scroll memristive chaotic system is designed based on Chua's system via introducing a nonlinear memristor. The dynamics of this system is analyzed based on bifurcation diagrams, Lyapunov exponents and phase diagrams. Subsequently, an image encryption scheme based on this system is then proposed. First, the proposed chaotic system is used to generate continuously robust chaotic sequences, the hash values of plaintext images are embedded in the generation and selection of chaotic sequences and involved in each step of encryption to establish the coupling relationship between plaintext and ciphertext. Second, Knuth-Durstenfeld algorithm is used to scramble the high four-bit plane of the plain image twice, and the chaotic sequence is used as the index sequence, which greatly improves the efficiency and randomness of the permutation process. Finally, chaotic sequences are involved in DNA coding rules and pixel-level diffusion. The algorithm is highly sensitive to plain images, and it can realize adaptive encryption. Through performance analysis and comparison with recent literature, the proposed algorithm can cope with various attacks and show excellent performance.