Image Encryption Scheme with Compressed Sensing Based on a New Six-Dimensional Non-Degenerate Discrete Hyperchaotic...

Area of Science:

• Digital image processing
• Cryptography
• Chaos theory

Background:

• Digital images require protection due to large file sizes and sensitive content.
• Compressed sensing (CS) offers efficient image compression, but performance hinges on the measurement matrix.
• Existing chaotic systems for measurement matrices lack complexity and randomness, limiting effectiveness.

Purpose of the Study:

• To propose a new six-dimensional discrete hyperchaotic system for improved image compression and reconstruction.
• To integrate this hyperchaotic system into a compressed sensing encryption framework to enhance security.
• To develop a robust image compression-encryption scheme resistant to known- and chosen-plaintext attacks.

Main Methods:

• Development of a novel six-dimensional non-degenerate discrete hyperchaotic system with six positive Lyapunov exponents.
• Design of a measurement matrix using the proposed hyperchaotic system for compressed sensing.
• Implementation of a scrambling and two-way diffusion algorithm for image encryption within the CS framework.
• Generation of SHA-256 hash of the original image to derive initial conditions for the chaotic map, enhancing security.

Main Results:

• The proposed hyperchaotic system demonstrates superior randomness and complexity compared to existing low-dimensional systems.
• Image compression and reconstruction performance are significantly improved using the hyperchaotic measurement matrix.
• The integrated encryption framework effectively resists known- and chosen-plaintext attacks.

Conclusions:

• The novel six-dimensional hyperchaotic system is effective for designing measurement matrices in compressed sensing.
• The proposed image compression-encryption scheme achieves high performance and robust security.
• This approach offers a promising solution for secure and efficient digital image handling.