A robust image encryption scheme based on new 4-D hyperchaotic system and elliptic curve

Abstract

In this work, a new 4-D hyperchaotic system for image encryption is proposed and its effectiveness is demonstrated by incorporating it into an existing Elliptic Curve Cryptography (ECC) mapping scheme. The proposed system is considered simple because it consists of eight terms with two nonlinearities. The system exhibits high sensitivity to initial conditions, which makes it suitable for encryption purposes. The two-stage encryption process, involving confusion and diffusion, is employed to protect the confidentiality of digital images. The simulation results demonstrate the effectiveness of the hyperchaotic system in terms of security and performance when combined with the ECC mapping scheme. This approach can be applied in various domains including healthcare, military, and entertainment to ensure the robust encryption of digital images.

Figures (9)

• Figure 1: Hyper-chaotic attractor of system (1): (a) $x-z$ plane, (b) $y-z$ plane, (c) $y-w$ plane and (d) $z-w$ plane.
• Figure 2: Lyapunov exponents of the new system (1).
• Figure 3: Time series of the $y$ variable.
• Figure 4: Flowchart diagram for the encryption process.
• Figure 5: Flowchart diagram for the decryption process.