Hybrid chaotic device for image encryption and decryption systems

Abstract

A hybrid device for image encryption and decryption, consisting of a Henon chaos mapping module for encrypting the pixel positions of an input image and a Tribonacci Q matrix module for transforming the pixel intensity values, with both modules operating sequentially to generate confusion and diffusion, thereby increasing unpredictability and resilience against cryptanalytic attacks.

Description

AREA OF INVENTION

[0001] The invention relates to the field of digital information security and data protection systems, in particular a hybrid device for encrypting and decrypting digital images using chaotic and matrix-based computing mechanisms. BACKGROUND OF THE INVENTION

[0002] Given the exponential increase in image data exchange via the internet and cloud platforms, the need for advanced image encryption systems has become essential. While traditional encryption techniques are effective for text or binary data, they often fail to provide sufficient protection for multimedia data against cryptanalytic attacks such as brute-force, differential, or statistical analysis. Image encryption methods based solely on individual, chaotic images lack the necessary complexity and unpredictability to withstand modern threats.

[0003] Previous methods have attempted to apply chaotic systems and matrix transformations separately. However, these methods remain vulnerable due to linear dependencies and predictable key structures. They do not integrate two-layer transformations that combine pixel position encryption and pixel intensity modification within a unified framework. Therefore, there is a need for a robust, hybrid image encryption method that integrates chaotic dynamics and matrix-based diffusion, thus ensuring improved confusion, diffusion, and resilience against decryption attacks while maintaining computational efficiency suitable for real-time applications. SUMMARY OF THE INVENTION

[0004] The invention provides a hybrid device for image encryption and decryption based on a synergistic combination of a Henon chaos mapping module and a Tribonacci Q matrix processing module. The system comprises interconnected processing units that transform image data both spatially and in terms of intensity. The chaos mapping generates key sequences from initial conditions that randomly rearrange the pixel positions, thus creating confusion. The matrix module modifies the pixel intensity values ​​using coefficients derived from the Tribonacci sequence, thereby introducing diffusion. Together, these modules produce highly complex encrypted images that are virtually impossible to reconstruct without the original encryption keys.

[0005] The device also includes specialized hardware and control units that coordinate the operation of both modules. The system performs encryption and decryption by sequentially applying chaotic scrambling followed by a matrix transformation, and vice versa for decryption. This hybrid approach ensures secure, real-time image encryption and decryption for applications such as secure communications, satellite imaging, medical data protection, and military surveillance. DETAILED DESCRIPTION OF THE INVENTION

[0006] The proposed hybrid image encryption and decryption device consists of a combination of chaotic and matrix-based processing modules integrated into a unified computing framework. The device includes a central control unit responsible for coordinating data acquisition, key generation, encryption, and decryption.

[0007] The Henon chaos mapping module forms the system's first operational unit. It uses a mathematical function based on the Henon chaos equations to generate a pseudorandom sequence that depends on the initial starting parameters. These sequences serve as keystreams to rearrange or encrypt the positions of pixels in a digital image. The high sensitivity of the chaos mapping ensures that even minimal changes to the initial parameters generate completely different encryption patterns, thus increasing unpredictability and security.

[0008] The second operational unit is the Tribonacci Q matrix module, which performs a matrix-based transformation of the pixel intensity values. Derived from the Tribonacci sequence, this module applies nonlinear matrix multiplications to the pixel data, thus altering the intensities of the grayscale or color components. This operation leads to diffusion, meaning that even slight changes in the input signal cause significant differences in the output signal, effectively obscuring image features.

[0009] The device includes a storage interface unit that temporarily stores pixel data during the transformation and ensures synchronization between the two modules. A key management unit manages the dynamically generated encryption keys based on system time and image properties. During encryption, the Henon chaos module first encrypts the pixel positions to eliminate spatial correlations, and the Tribonacci module then modifies the pixel values ​​to eliminate statistical predictability.

[0010] For decryption, the device performs the reverse process, applying the inverse Tribonacci transformation followed by an inverse chaotic mapping to reconstruct the original image. The device's control software ensures precise synchronization of the key sequences between encryption and decryption, thus preventing key deviations or decoding errors.

[0011] The entire system is designed for high performance and can process large amounts of image data in real time. Thanks to its modular design, it can be implemented on hardware circuits, digital signal processors, or embedded systems for various practical applications. The hybrid integration of chaotic and matrix transformations makes the system resistant to brute-force, chosen-plaintext, and differential attacks.

[0012] The device can be extended to handle color images by processing the red, green, and blue channels independently and recombining them after encryption or decryption. This flexibility allows the system to be integrated into multimedia encryption platforms, secure cloud storage systems, and protected communication networks. The combination of confusion and diffusion principles embodied in this invention significantly improves data confidentiality and integrity.

[0013] The energy-efficient and computationally optimized design ensures the feasibility of both software- and hardware-based implementations. The invention thus offers a comprehensive, scalable, and secure solution for image encryption and decryption with superior resistance to modern cryptanalytic methods.

Claims

[1] A hybrid image encryption and decryption device consisting of a Henon chaos mapping module for encrypting the pixel positions of an input image and a Tribonacci Q matrix module for transforming the pixel intensity values, with both modules operating sequentially to generate confusion and diffusion, thereby increasing unpredictability and resilience against cryptanalytic attacks. [2] Device according to claim 1, wherein the Henon chaos imaging module generates a pseudorandom sequence of initial conditions for pixel position encryption and the Tribonacci Q matrix module applies a nonlinear matrix transformation derived from the Tribonacci sequence to modify the pixel value. [3] Device according to claim 1, wherein the device further comprises a central control unit configured to coordinate synchronization between modules, manage encryption keys and perform real-time encryption and decryption suitable for the secure transmission of multimedia content. [4] Device according to claim 1, wherein the hybrid integration of the chaotic mapping and the matrix transformation ensures resistance to brute-force, statistical and differential attacks while maintaining computational efficiency for real-time applications.