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multi-image encryption Algorithm Based on Novel Spatiotemporal Chaotic System and Dynamical Chaotic Trajectories

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY 2025年第2期35卷 1562-1575页

作者： Teng, Lin Cao, Pengfei Liu, Yang Dalian Maritime Univ Sch Informat Sci & Technol Dalian 116026 Peoples R China

This paper proposes a novel spatiotemporal chaotic system: a dual-dynamic-coupling-coefficient coupled map lattice with delayed feedback (DDCMLDF). Building on the traditional Coupled Map Lattice (CML), we introduce two dynamic coupling coefficients and a random delay mechanism. These enhancements enable our system to exhibit more complex chaotic behavior, making it more suitable for applications in chaotic encryption and secure communication. Based on this system, a multi-image encryption algorithm is proposed. This encryption algorithm first utilizes chaotic dynamics theory to perform internal scrambling of the images. Then, using the concept of multi-path merging, scrambling is performed among the images, further disrupting the relationships between them. Finally, a diffusion operation is applied separately to each scrambled image. A series of simulation experiments demonstrates that this encryption algorithm has good security and robustness.

关键词： Heuristic algorithms Lattices encryption Chaotic communication Couplings Logistics Spatiotemporal phenomena Security Dynamics Circuits and systems Spatiotemporal chaotic system dual dynamic coupling random delay multi-image encryption chaotic dynamical trajectories

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A Novel multi-image encryption Scheme Using Generalized Rectangular Transform and Advanced 5-D Hyperchaotic Map

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IEEE ACCESS 2025年 13卷 43316-43337页

作者： Lan, Yu-Chi Wang, Chung-Ming Natl Chung Hsing Univ Dept Comp Sci & Engn Taichung 402202 Taiwan

This paper presents GRTPHM (Generalized Rectangular Transform and Penta-Hyperchaotic Map), a novel multi-image encryption scheme that enhances security, efficiency, and versatility. The encryption process consists of two key phases: pixel permutation and pixel diffusion. The pixel permutation phase leverages the Generalized Rectangular Transform (GRT) to rearrange pixel positions using a flexible transformation matrix, effectively disrupting strong correlations between neighboring pixels and improving resistance to statistical analysis. In the pixel diffusion phase, a bit-level random permutation (BLRP) technique is employed alongside a Penta-Hyperchaotic Map (PHM), an advanced 5-D discrete memristor and meminductor-based hyperchaotic map, integrated with the SHA-512 hashing function. Unlike traditional pixel-based diffusion methods, BLRP shuffles bits, achieving finer confusion and making structural inference significantly more difficult for attackers. The PHM generates a highly unpredictable chaotic sequence, ensuring substantial changes in ciphertext even for minor modifications in plaintext or encryption parameters. This enhances the avalanche effect, strengthening resistance to differential and statistical attacks. GRTPHM introduces a novel reverse rectangular transform (IGRT) that overcomes the limitations of existing approaches, enabling efficient and accurate image reconstruction. Notably, decryption does not require prior knowledge of the transformation matrix's periodicity and achieves a speedup of up to 299 times compared to state-of-the-art methods. Extensive robustness testing against cropping, salt & pepper noise, and hybrid attacks confirms that GRTPHM can maintain satisfactory decryption accuracy and visual quality, even under severe image distortions. The results indicate that cropping attacks cause greater degradation than noise-based attacks due to the irreversible loss of contiguous pixel regions. The scheme supports a wide range of image sizes a

关键词： encryption Transforms Prognostics and health management Sensitivity Resistance image reconstruction Correlation Memristors Computational efficiency Chaotic communication multi-image encryption generalized rectangular transform (GRT) bit-level random permutation a penta-hyperchaotic map (PHM) inverse rectangular transform chaotic cryptography

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multi-image encryption based on 3D space scrambling and new spatiotemporal chaotic system

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PHYSICA SCRIPTA 2024年第10期99卷 105278-105278页

作者： Hanrui, Lu Teng, Lin Du, Longbiao Dalian Maritime Univ Sch Informat Sci & Technol Dalian 116026 Peoples R China

This paper introduces a groundbreaking spatiotemporal chaotic system, named DCMLMDF, and a novel encryption method that synergizes scrambling and diffusion synchronization for multi-image encryption. The DCMLMDF system, which incorporates a dynamic coupling approach and a random delay feedback mechanism, significantly enhances the randomness and complexity of the encryption process. By applying this system within the newly designed multi-image encryption framework, the method achieves three-dimensional space scrambling and diffusion synchronization, overcoming traditional encryption challenges such as extended encryption time and periodic vulnerabilities. The results demonstrate that this innovative approach not only effectively confuses image data but also substantially improves overall system security, marking a significant advancement in the application of chaotic systems to image encryption.

关键词： spatiotemporal chaotic system random delay multi-image encryption 3D space scrambling synchronous diffusion

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multi-image encryption based on synchronization of chaotic lasers and iris authentication

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OPTICS AND LASERS IN ENGINEERING 2012年第7期50卷 950-957页

作者： Banerjee, Santo Mukhopadhyay, Sumona Rondoni, Lamberto Univ Putra Malaysia Inst Math Res Lab Cryptog Anal & Struct Serdang Malaysia Univ Calgary Dept Elect & Comp Engn Calgary AB Canada Politecn Torino Dipartimento Matemat I-10129 Turin Italy Ist Nazl Fis Nucl Sez Torino I-10125 Turin Italy

A new technique of transmitting encrypted combinations of gray scaled and chromatic images using chaotic lasers derived from Maxwell-Bloch's equations has been proposed. This novel scheme utilizes the general method of solution of a set of linear equations to transmit similar sized heterogeneous images which are a combination of monochrome and chromatic images. The chaos encrypted gray scaled images are concatenated along the three color planes resulting in color images. These are then transmitted over a secure channel along with a cover image which is an iris scan. The entire cryptology is augmented with an iris-based authentication scheme. The secret messages are retrieved once the authentication is successful. The objective of our work is briefly outlined as (a) the biometric information is the iris which is encrypted before transmission, (b) the iris is used for personal identification and verifying for message integrity, (c) the information is transmitted securely which are colored images resulting from a combination of gray images, (d) each of the images transmitted are encrypted through chaos based cryptography, (e) these encrypted multiple images are then coupled with the iris through linear combination of images before being communicated over the network. The several layers of encryption together with the ergodicity and randomness of chaos render enough confusion and diffusion properties which guarantee a fool-proof approach in achieving secure communication as demonstrated by exhaustive statistical methods. The result is vital from the perspective of opening a fundamental new dimension in multiplexing and simultaneous transmission of several monochromatic and chromatic images along with biometry based authentication and cryptography. (C) 2012 Elsevier Ltd. All rights reserved.

关键词： Chaotic laser systems Synchronization Iris based authentication multi-image encryption

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multi-image encryption algorithm based on wavelet transform and 3D shuffling scrambling

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multiMEDIA TOOLS AND APPLICATIONS 2022年第17期81卷 24757-24776页

作者： Zhong, Huiyan Li, Guodong Guilin Univ Elect Technol Sch Math & Computat Sci Guilin 541004 Guangxi Peoples R China

To solve the problems of low efficiency and poor resistance to attack, this paper proposes the multi-image encryption algorithm based on Haar wavelet transform and 3D shuffling scrambling. Taking advantage of the high computational efficiency of low-dimensional chaotic maps, this paper designs the dynamic pseudo-random sequence generator based on a dynamic chaotic library with three one-dimension chaotic maps and the roulette algorithm, which is highly associated with the plaintext image. To better scramble the image cube, this paper proposes a 3D shuffling scrambling algorithm, which divides the cube into one-dimensional vectors and scrambles the order of the one-dimensional vectors, then reorganizes the cube. To encrypt multiple images, first, reconstruct the images into an image cube and perform wavelet transformation on each layer of the cube. Then, use the 3D shuffling algorithm to scramble the low-frequency coefficient and reconstruct the cube with the scrambled low-frequency coefficient and high-frequency parts. Last, the chaotic matrix is XOR with each layer of the image cube. The algorithm can encrypt grayscale or color images of any size, which is flexible. In the simulation experiments, the algorithm has ideal ciphertext statistical characteristics, high running speed, and the ability of anti-attack, which is better than encryption algorithm in other references.

关键词： multi-image encryption Wavelet transform 3D shuffling scrambling Dynamic chaos library

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multi-image encryption Based on Compressed Sensing and Deep Learning in Optical Gyrator Domain

IEEE PHOTONICS JOURNAL

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IEEE PHOTONICS JOURNAL 2021年第3期13卷 1-16页

作者： Ni, Renjie Wang, Fan Wang, Jun Hu, Yuhen Sichuan Univ Sch Elect & Informat Engn Chengdu 610065 Peoples R China Univ Wisconsin Dept Elect & Comp Engn 1415 Johnson Dr Madison WI 53706 USA

In this paper, a multi-image encryption scheme based on compressed sensing (CS) and deep learning in the optical gyrator domain is proposed. Firstly, multiple plaintext images are compressed by CS to obtain multiple measurements, and then the pixels of each measurement are scrambled by using a chaotic system. Secondly, the scrambled measurements are combined into a matrix and diffused by XOR operation with a chaotic matrix. Finally, the diffused matrix is encoded with a random phase and an optical gyrator transform to obtain a complex-valued matrix, and the amplitude of the complex-valued matrix is taken as the ciphertext. In decrypt, plaintext images are reconstructed from the CS measurements by a neural network, which achieves high reconstruction speed and quality compared with the traditional algorithm. Especially, the data amount of plaintext images can be compressed by up to 8 times while achieving high decryption quality. To our best knowledge, CS reconstruction algorithms based on deep learning is firstly used for image encryption. Moreover, the proposed scheme is highly robust against occlusion, noise, and chosen-plaintext attack.

关键词： image reconstruction encryption Optical imaging Optical sensors Optical diffraction Gyrators image coding multi-image encryption compressed sensing deep learning optical gyrator transform

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multi-image encryption scheme using cross-plane coupling permutation and plain-by-plain wave diffusion

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PHYSICA SCRIPTA 2024年第11期99卷 115243-115243页

作者： Lai, Qiang Wang, Huangtao Erkan, Ugur Toktas, Abdurrahim East China Jiaotong Univ Sch Elect & Automat Engn Nanchang 330013 Peoples R China Karamanoglu Mehmetbey Univ Engn Fac Dept Comp Engn TR-70200 Karaman Turkiye Ankara Univ Engn Fac Dept Artificial Intelligence & Data Engn TR-06830 Ankara Turkiye

images contain a wealth of visual information, are susceptible to unauthorized access due to their vulnerability and sensitivity. This paper designs a novel multi-image encryption scheme for protecting the privacy of images of different sizes and types. Initially, a 2D memristive hyperchaotic map (2D-MHM) is designed and subjected to various dynamic analyses and randomness evaluations. The results demonstrate that the proposed map possesses an exceptionally large parameter space, high Lyapunov exponent and sample entropy, and has successfully passed the entire suite of NIST test, verifying its feasibility for confidential communication. Then we present a multi-image encryption scheme combining cross-plane coupling permutation and plain-by-plain wave diffusion to realize random exchange and global variation of pixels in different planes. The performance evaluation and numerical analysis demonstrate that the scheme is resilient against multifarious types of attacks, possesses great security while effectively enhancing encryption efficiency. Finally, the proposed scheme is compared with advanced algorithms and its application in healthcare is discussed, exhibiting its superiority in multiple aspects.

关键词： chaos hyperchaotic map multi-image encryption performance analysis information security

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multi-image encryption Algorithm Based on Novel Spatiotemporal Chaotic System and Fractal Geometry

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 2024年第8期71卷 3726-3739页

作者： Huang, Lilian Gao, Han Harbin Engn Univ Coll Informat & Commun Engn Key Lab Adv Marine Commun & Informat Technol Minist Ind & Informat Technol Harbin 150001 Peoples R China Harbin Engn Univ Natl Key Lab Underwater Acoust Technol Harbin 150001 Peoples R China Harbin Engn Univ Coll Informat & Commun Engn Harbin 150001 Peoples R China Harbin Engn Univ Key Lab Adv Marine Commun & Informat Technol Minist Ind & Informat Technol Harbin 150001 Peoples R China

With the rapid development of communication technology, an increasing amount of image information relies on network transmission. While this enhances transmission efficiency, it also raises the risk of illegal attacks. Therefore, this paper proposes a novel multi-image encryption algorithm based on a new spatiotemporal chaos system and fractal geometry. The algorithm begins by designing a new Chebyshev Improved Coupled Sine Map Lattice (CICSML) system based on the Coupled Map Lattice (CML) spatiotemporal chaos system. Dynamical behavior testing results indicate that, compared to traditional chaos systems, the CICSML system can perform chaotic iterations in both time and space, generating a larger number of chaotic sequences, possessing a broader parameter space, and featuring a wider chaotic region. Secondly, the algorithm uses fractal matrix and Hilbert curve scan scrambling to generate index control sequences for the synchronous scrambling diffusion phase. The initial value sensitivity of fractal matrix and the efficiency of Hilbert curve scan scrambling effectively enhance the security and efficiency of the encryption algorithm. Finally, the algorithm employs the principle of multi-image encryption based on indexed image transformation to encrypt multiple images simultaneously. Experimental simulations and performance analysis results show that the algorithm has good security and strong resistance to attacks.

关键词： Spatiotemporal chaotic system fractal matrices Hilbert curve indexed image multi-image encryption

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Optical multi-image encryption scheme with chaotic apertured quaternion fractional Mellin transform

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JOURNAL OF MODERN OPTICS 2023年第9期70卷 572-589页

作者： Dai, Jing-Yi Zhou, Nan-Run Nanchang Univ Dept Comp Sci & Technol Nanchang Peoples R China Nanchang Univ Dept Elect Informat Engn Nanchang Peoples R China Nanchang Univ Dept Elect Informat Engn Nanchang 330031 Jiangxi Peoples R China

To enhance the encryption quality and the transmission efficiency, an optical compression and encryption scheme for multiple images based on chaotic apertured quaternion fractional Mellin transform (QFrMT) is designed. The apertured optical systems and the quaternions with several imaginary components guarantee our designed scheme harder for the attackers to acquire valuable information. The QFrMT with the chaotic aperture is proposed to eliminate potential insecurity resulting from the known-plaintext attack and the phase-retrieval attack. The quaternion signal containing the main information of the plaintext images is converted into the chaotic apertured QFrMT domain, and then the resulting amplitude is encrypted with the chaotic mask constructed by the truncated phase in the fractional Fourier plane for nonlinear processing and information integrity. The chaos-based non-conventional diffusion is applied to further enhance the robustness against attacks. Extensive experiments results verify the security and efficiency of the presented optical multi-image encryption scheme.

关键词： Chaotic apertured quaternion fractional Mellin transform multi-image compression multi-image encryption chaotic system

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Parallel multi-image encryption based on cross-plane DNA manipulation and a novel 2D chaotic system

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VISUAL COMPUTER 2024年第12期40卷 8615-8637页

作者： Zhang, Zhibo Zhang, Jindong Jilin Univ Coll Comp Sci & Technol Changchun 130012 Peoples R China Jilin Univ Key Lab Symbol Computat & Knowledge Engn Minist Educ Changchun 130012 Peoples R China

In this paper, we propose a novel parallel multi-image encryption algorithm based on cross-plane DNA operations. Firstly, a two-dimensional chaotic system, 2D-SCIM, is constructed. Secondly, for a set of images, whether they are color images, grayscale images, or their combinations, we perform bit-plane decomposition according to the channels without limitations on quantity and arrangement order. Subsequently, the low and high bit planes are paired and encoded into DNA planes using chaotic sequences. Next, the DNA planes undergo two rounds of cross-plane diffusion and cross-plane cyclic shifting in parallel threads, where the chaotic sequence controls the encoding, direction, order, and operations of diffusion and cyclic shifting. Finally, the original image structure is used to combine the bit planes and obtain the encrypted image set. Security analyses, including key sensitivity, histograms, correlations, information entropy, differential attacks, noise attacks, and encryption speed, are conducted on the algorithm. Experimental results demonstrate that the proposed image encryption algorithm effectively withstands various attacks.

关键词： multi-image encryption DNA coding Chaotic system image security

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