A novel image encryption scheme based on memristive chaotic system and combining bidirectional bit-level cyclic shift and dynamic DNA-level diffusion

Abstract

In recent years, many researchers have leveraged various memristors to design many novel memristive chaotic systems with complex dynamics. Compared with other chaotic systems, applying these memristive chaotic systems to image encryption is expected to solve some key problems in this field. Therefore, exploiting a recently reported memristive chaotic system, this paper proposes a novel image encryption scheme based on the memristive chaotic system and combining bidirectional bit-level cyclic shift and dynamic DNA-level diffusion (IES-M-BD). First, a discrete memristive chaotic map is employed to generate chaotic sequences. Then, the plaintext image is shifted circularly on bit-level according to chaotic sequences and the hash value of the plaintext image. After that, the shifted matrix is recombined on the bit plane and encoded dynamically by DNA encoding rules. Next, dynamic DNA-level diffusion and DNA-level permutation are carried out in two rounds. Finally, the encrypted image is obtained after dynamic DNA decoding. Simulation tests and performance analyses are also carried out in this paper. The simulation results and the security analyses demonstrate that this encryption scheme has a high security level and can resist various attacks.

A Lightweight Multi-Chaos-Based Image Encryption Scheme for IoT Networks

“…By utilizing a memristive chaotic system and combining it with bidirectional bit-level cyclic shift and dynamic DNA-level diffusion, the proposed scheme offers enhanced security and resistance to attacks. This can help protect sensitive image data in IoT applications, ensuring the privacy and integrity of the transmitted or stored images [53].…”

Exploiting Dynamic Vector-Level Operations and a 2D-Enhanced Logistic Modular Map for Efficient Chaotic Image Encryption

“…In [ 17 ], Li et al suggested an image encryption scheme based on DNA operations, which exploits non-adjacent blocks and permutation blocks to scramble the input image and then employs dynamic bidirectional diffusion to obtain the final ciphertext image. Similarly, considering the substitution effect of dynamic DNA encoding, two image encryption schemes using scrambling and diffusion architectures were proposed successively [ 18 , 19 ]. In [ 20 ], Feng et al also developed an image encryption scheme based on image filtering and discrete logarithm, in which image filtering can diffuse a large number of pixels at the same time, and discrete logarithm transformation exerts the encryption effect of pixel substitution.…”

Cryptanalysis of an Image Encryption Algorithm Based on a 2D Hyperchaotic Map

“…Some encryption schemes combined various mathematical theories of interesting problems [ 13 , 14 ]; for example, Josephus Problem was employed in [ 13 ] for designing a secure and efficient image encryption scheme. Some encryption schemes combine DNA coding technologies to acquire the confusion effect similarly to S-box [ 15 , 16 , 17 ]. Most schemes encrypt the image as a whole, but a few methods divide the image into several small blocks for encryption; e.g., Zhang et al.…”