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image encryption algorithm based on the fractional Hermite transform

JOURNAL OF MODERN OPTICS 2021年第19期68卷 1026-1040页

作者： Gong, Li-Hua Zeng, Jing Li, Xiao-Zhen Nanchang Univ Sch Informat Engn Nanchang 330031 Jiangxi Peoples R China

A new image encryption algorithm is proposed by combining fractional Hermite transform (FHT) with hyper-chaos map. In the first round of pixel scrambling, the original image is performed by the Zigzag operation and the Arnold transform. Then the scrambled image matrix is XORed with an encryption sequence composed of an 8-bit linear feedback shift register. Compared with the traditional Hermite transform, the FHT has better noise tolerance, and it could process the non-stationary input signals better. Subsequently, the encrypted data is re-encrypted by the cyclic shift operation based on the hyper-chaotic system. The four initial values of the hyper-chaotic system are obtained by combining plaintext image with SHA-512. Finally, the processed image matrix is XORed with a chaotic matrix generated by the three-dimensional Logistic-sine-coupling map. The presented image encryption algorithm has a large key space and strong anti-noise ability. Simulation results show that the proposed algorithm is feasible, secure and effective.

关键词： Linear feedback shift register fractional Hermite transform hyper-chaotic system three-dimensional logistic-sine-coupling map image encryption algorithm

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image encryption algorithm based on cascaded chaotic map and improved Zigzag transform

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IET image PROCESSING 2022年第14期16卷 3863-3875页

作者： Zheng, Jiming Lv, Tianyi Chongqing Univ Posts & Telecommun Sch Sci Chongqing Peoples R China Chongqing Univ Posts & Telecommun Coll Comp Sci & Technol Chongqing Peoples R China

In this paper, an image encryption algorithm based on cascaded chaotic map and improved Zigzag transform is proposed. Firstly, a cascade chaotic system is improved to make its chaotic sequence evenly distributed and improve its parameter range. The purpose is to obtain high random chaotic sequence and make the ciphertext image more secure. Secondly, the improved Zigzag transform is used to scramble the image. Compared with the standard Zigzag transform, the improved Zigzag transform can fully scramble all the pixels and improve the randomness of the ciphertext image. Thirdly, a wave-shaped diffusion algorithm is designed, its characteristic is that it can alternate between different row and column for diffusion. The combination of SHA256 algorithm and plain image makes the cipher image better resist the select plaintext attack. Simulation results show that the algorithm has fast encryption efficiency, high security and can effectively resist various attacks.

关键词： image sequences SHA256 algorithm high random chaotic sequence standard Zigzag transform cascade chaotic system cascaded chaotic map cryptography chaos improved Zigzag transform image encryption algorithm wave-shaped diffusion algorithm ciphertext image

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image encryption algorithm based on image hashing, improved chaotic mapping and DNA coding

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IET image PROCESSING 2019年第14期13卷 2905-2915页

作者： Zhang, Qiuyu Han, Jitian Ye, Yutong Lanzhou Univ Technol Sch Comp & Commun Lanzhou 730050 Gansu Peoples R China

In order to improve the problems of security and robustness for existing image encryption algorithms and to reduce the security risks of encryption algorithms against statistical analysis, differential attacks, exhaustive attacks, cropping and noise attacks etc., a novel image encryption algorithm based on image hashing, improved chaotic mapping and DNA coding is proposed. Firstly, extracting the image features and evenly block after pre-processing the original image and fingerprint image. Secondly, the features are generated to be a binary hash sequence through the image hash algorithm, and the generated hash sequence is iterated as the initial parameter of the improved chaotic map and Chen's chaotic system. Finally, Chen's chaotic system is used to generate a random sequence, and the matrix generated by the improved chaotic map and the original image is subjected to DNA calculation and encoding operations to obtain an encrypted image. Experimental results show that the proposed algorithm has better performance on security, larger key space and higher key sensitivity, the pixel correlation coefficient close to 0, the information entropy close to 8, unified average changing intensity and number of pixels change rate values are close to ideal values, and it has better robustness on noise and cropping attacks.

关键词： image coding DNA statistical analysis cryptography image processing entropy random sequences chaos chaotic communication image encryption algorithm image hashing improved chaotic mapping image features fingerprint image binary hash sequence generated hash sequence improved chaotic map Chen's chaotic system encryption algorithms

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Lossless embedding: A visually meaningful image encryption algorithm based on hyperchaos and compressive sensing

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Chinese Physics B 2023年第2期32卷 136-149页

作者：王兴元王哓丽滕琳蒋东华咸永锦 School of Information Science and Technology Dalian Maritime UniversityDalian 116026China Guangxi Key Laboratory of Multi-source Information Mining&Security Guangxi Normal UniversityGuilin 541004China School of Computer Science and Engineering Sun Yat-sen UniversityGuangzhou 511400China School of Cyber Security Qilu University of Technology(Shandong Academy of Sciences)Jinan 250353China

A novel visually meaningful image encryption algorithm is proposed based on a hyperchaotic system and compressive sensing(CS), which aims to improve the visual security of steganographic image and decrypted quality. First, a dynamic spiral block scrambling is designed to encrypt the sparse matrix generated by performing discrete wavelet transform(DWT)on the plain image. Then, the encrypted image is compressed and quantified to obtain the noise-like cipher image. Then the cipher image is embedded into the alpha channel of the carrier image in portable network graphics(PNG) format to generate the visually meaningful steganographic image. In our scheme, the hyperchaotic Lorenz system controlled by the hash value of plain image is utilized to construct the scrambling matrix, the measurement matrix and the embedding matrix to achieve higher security. In addition, compared with other existing encryption algorithms, the proposed PNG-based embedding method can blindly extract the cipher image, thus effectively reducing the transmission cost and storage space. Finally, the experimental results indicate that the proposed encryption algorithm has very high visual security.

关键词： chaotic image encryption compressive sensing meaningful cipher image portable network graphics image encryption algorithm

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A self-cited pixel summation based image encryption algorithm

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Chinese Physics B 2017年第1期26卷 131-138页

作者： Guo-Dong Ye Xiao-Ling Huang Leo Yu Zhang Zheng-Xia Wang Faculty of Mathematics and Computer Science Guangdong Ocean University Zhanjiang 524088 China College of Information Science and Electronic Engineering Zhejiang University Hangzhou 310027 China Department of Electronic Engineering City University of Hong Kong Kowloon Tong Hong Kong China College of Information Science and Engineering Chongqing Jiaotong University Chongqing 400074 China

In this paper, a novel image encryption algorithm is presented based on self-cited pixel summation. With the classical mechanism of permutation plus diffusion, a pixel summation of the plain image is employed to make a gravity influence on the pixel positions in the permutation stage. Then, for each pixel in every step of the diffusion stage, the pixel summation calculated from the permuted image is updated. The values from a chaotic sequence generated by an intertwining logistic map are selected by this summation. Consequently, the keystreams generated in both stages are dependent on both the plain image and the permuted image. Because of the sensitivity of the chaotic map to its initial conditions and the plain-imagedependent keystreams, any tiny change in the secret key or the plain image would lead to a significantly different cipher image. As a result, the proposed encryption algorithm is immune to the known plaintext attack（KPA） and the chosen plaintext attack（CPA）. Moreover, experimental simulations and security analyses show that the proposed permutationdiffusion encryption scheme can achieve a satisfactory level of security.

关键词： pixel summation image encryption algorithm intertwining logistic map gravity security

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Meaningful image encryption algorithm based on compressive sensing and integer wavelet transform

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Frontiers of Computer Science 2023年第3期17卷 161-175页

作者： Xiaoling HUANG Youxia DONG Guodong YE Yang SHI Faculty of Mathematics and Computer Science Guangdong Ocean UniversityZhanjiang 524088China School of Software Engineering Tongji UniversityShanghai 200092China

A new meaningful image encryption algorithm based on compressive sensing(CS)and integer wavelet transformation(IWT)is proposed in this *** of all,the initial values of chaotic system are encrypted by RSA algorithm,and then they are open as public *** make the chaotic sequence more random,a mathematical model is constructed to improve the random ***,the plain image is compressed and encrypted to obtain the secret ***,the secret image is inserted with numbers zero to extend its size same to the plain *** applying IWT to the carrier image and discrete wavelet transformation(DWT)to the inserted image,the secret image is embedded into the carrier ***,a meaningful carrier image embedded with secret plain image can be obtained by inverse ***,the measurement matrix is built by both chaotic system and Hadamard matrix,which not only retains the characteristics of Hadamard matrix,but also has the property of control and synchronization of chaotic ***,information entropy of the plain image is employed to produce the initial conditions of chaotic *** a result,the proposed algorithm can resist known-plaintext attack(KPA)and chosen-plaintext attack(CPA).By the help of asymmetric cipher algorithm RSA,no extra transmission is needed in the *** simulations show that the normalized correlation(NC)values between the host image and the cipher image are *** is to say,the proposed encryption algorithm is imperceptible and has good hiding effect.

关键词： image encryption algorithm compressive sensing integer wavelet transform Hadamard matrix

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A memristive system and its applications in red-blue 3D glasses and image encryption algorithm with DNA variation

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NONLINEAR DYNAMICS 2022年第3期107卷 2911-2933页

作者： Xiong, Li Yang, Feifei Mou, Jun An, Xinlei Zhang, Xinguo Hexi Univ Sch Phys & Electromech Engn Zhangye 734000 Peoples R China Tsinghua Univ Sch Integrated Circuits Beijing 100084 Peoples R China Lanzhou Univ Technol Sch Elect Engn & Informat Engn Lanzhou 730050 Peoples R China Dalian Polytech Univ Sch Informat Sci & Engn Dalian 116034 Peoples R China Lanzhou Jiaotong Univ Sch Math & Phys Lanzhou 730070 Peoples R China Lanzhou Univ Sch Informat Sci & Engn Lanzhou 730000 Peoples R China

In this paper, a memristive circuit system is proposed and its dynamical characteristics are analyzed by two-parameters bifurcation diagrams, Lyapunov exponent spectrum, SE complexity and C0 complexity. The numerical analysis results illustrate that the chaotic state of the memristive system is distributed in a large range of parameters, which is especially suitable for image encryption application. Then, in view of the fact that the traditional method of observing three-dimensional chaotic attractors can not give full play to the essence of human eyes cooperating with brain information processing, a new method to obtain the brain information of complete three-dimensional chaotic attractors by using red-blue 3D glasses is proposed. The results show that compared with the traditional method based on the memristive system, the visual effect of chaotic attractors observed by red-blue 3D glasses is shocking. In addition, an image encryption algorithm is designed to verify the image encryption application of the memristive system based on DNA variation. A series of security performance analysis experiments are performed to verify the effectiveness and reliability of the designed algorithm such as the secret key space analysis, histogram distribution analysis, information entropy analysis, correlation analysis and key sensitivity analysis. Finally, the hardware circuit based on the memristive system is implemented with some common electronic devices, which has the advantages of simple structure and low cost.

关键词： Memristive system Red-blue 3D glasses image encryption algorithm DNA variation Hardware implementation

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An image encryption algorithm Based on BP Neural Network and Hyperchaotic System

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China Communications 2020年第5期17卷 21-28页

作者： Feifei Yang Jun Mou Yinghong Cao Ran Chu School of Information Science and Engineering Dalian polytechnic UniversityDalian 116034China

To reduce the bandwidth and storage resources of image information in communication transmission, and improve the secure communication of information. In this paper, an image compression and encryption algorithm based on fractional-order memristive hyperchaotic system and BP neural network is proposed. In this algorithm, the image pixel values are compressed by BP neural network, the chaotic sequences of the fractional-order memristive hyperchaotic system are used to diffuse the pixel values. The experimental simulation results indicate that the proposed algorithm not only can effectively compress and encrypt image, but also have better security features. Therefore, this work provides theoretical guidance and experimental basis for the safe transmission and storage of image information in practical communication.

关键词： BP neural network fractional-order hyperchaotic system image encryption algorithm secure communication

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2D-SCMCI Hyperchaotic Map for image encryption algorithm

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IEEE ACCESS 2021年 9卷 59313-59327页

作者： Sun, Jilei Nanjing Univ Aeronaut & Astronaut Dept Comp Sci & Technol Nanjing 210000 Peoples R China Binzhou Univ Dept Informat Engn Binzhou 256600 Peoples R China

Chaos has unpredictability and initial condition sensitivity, which known as a best candidate for cryptography application. However, there are many defects for the existing chaotic cryptography systems due to the use of chaotic maps that without complexity dynamic properties. To overcome these weaknesses, this work designed a 2D-SCMCI hyperchaotic map based on Cascade Modulation Couple (CMC) and two 1D-chaotic map. The dynamic characteristics of the 2D-SCMCI hyperchaotic map are analyzed through attractor trajectory, 0-1 test, bifurcation diagram, Lyapunov exponents and spectrum entropy (SE) complexity. The results of analysis indicate that 2D-SCMCI hyperchaotic map has rich dynamic performance and randomness, which illustrates that it is more suitable for image encryption algorithm. Therefore, an image encryption algorithm is proposed by 2D-SCMCI hyperchaotic map. In encryption algorithm, the image is scrambled by row and column, forward and backward diffusion are used to diffuse image pixel values. The security performances analysis results indicate that the introduced algorithm has better security characteristics.

关键词： Heuristic algorithms encryption Complexity theory Modulation Security Bifurcation Licenses 2D-SCMCI hyperchaotic map image encryption algorithm dynamic characteristic cryptographic analysis

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Novel image encryption algorithm based on improved logistic map

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IET image PROCESSING 2019年第1期13卷 125-134页

作者： Li, Renzhi Liu, Qian Liu, Lingfeng Nanchang Univ Sch Software Nanchang 330029 Jiangxi Peoples R China

Chaotic mapping has been widely used in image encryption given the unpredictability, ergodicity, and sensitivity of parameters and initial values and the high correspondence with cryptography. The logistic map has the disadvantages of uneven distribution, low security, and small parameter space. In order to overcome these disadvantages, in this article, a new chaotic map based on a real-time variable logistic map with a randomly selected decimal is proposed. Furthermore, this chaotic mapping is applied to image encryption. Several simulation experiments show that the new encryption algorithm can obtain a safely encrypted image at a minimal time complexity.

关键词： chaos cryptography image processing computational complexity chaotic mapping image encryption algorithm improved real-time variable logistic map cryptography randomly selected decimal time complexity

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