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2D arcsine and sine combined logistic map for image encryption

VISUAL COMPUTER 2023年第4期39卷 1517-1532页

作者： Ding, Yi Duan, Zhikui Li, Shiren Hunan Univ Arts & Sci Changde Peoples R China Foshan Univ Foshan Peoples R China Sun Yat Sen Univ Guangzhou Peoples R China

Chaotic system is widely applied in field of information security because of its excellent properties of unpredictability, no periodicity, pseudo-randomness, and high sensitivity to initial parameters. In this paper, we propose a new chaotic map, named 2D arcsine and sine combined logistic map (2D-ASLM), which is a combination of arcsine, Sine, and Logistic maps. Compared with the existing chaotic maps, the proposed one has the better pseudo-randomness and ergodicity from the viewpoint of chaotic performance. Besides, it also has a more unpredictable chaotic rang as well as a relatively low implementation cost. A chaotic tree transform (CTT) is introduced to effectively disrupt the image pixel positions. Then, the image can be encrypted by combining 2D-ASLM and CTT. Extensive results on encryption simulation and security analysis have shown the effectiveness of the proposed algorithm from different aspects.

关键词： 2D arcsine and sine combined logistic mapping A chaotic tree transform image encryption algorithm Chaotic mapping

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Construction of 24-by-24 nonlinear layer for symmetric algorithm and its application to data encryption in parallel with DNA transform

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JOURNAL OF SUPERCOMPUTING 2024年第1期80卷 1037-1058页

作者： Shah, Tariq ul Haq, Tanveer Quaid i Azam Univ Dept Math Islamabad Pakistan

The principal constituent of a block cipher in symmetric-key cryptography is the Boolean function, determining the substitution box (S-box). Block ciphers rely totally on S-boxes with excellent nonlinearity and upright cryptographic structures. In AES, an 8 x 8 S-box is a 16 x 16 lookup table over the Galois field GF(2(8)), that occupies 8 x 2(8) bytes storage of computer memory. By using traditional method to construct a 24 x 24 S-box over Galois field GF(2(24)), which lodges a storage memory of 24 x 2(24) bytes in traditional sense. Thus, the memory storage does not support a 24 x 24 S-box over a very larger order Galois field like GF(2(24)). A resolute of this difficulty is possibly coming out from the algebraic structure of the commutative finite chain ring F-q[x]/ = Sigma(k-1)(i=0) x(i)F(q). In this study, a subgroup of the multiplicative group of units of the chain ring F-2[x]/ = Sigma(23x)(i=0)iF(2) is considered to construct a 24 x 24 S-box that occupy just 24 x 2(8) bits storage memory of computer. The proposed S-box has a substantial potential to create confusion during substitution phase of the color image enciphering algorithm. While for the permutation component of the algorithm, DNA transform is applied for creating diffusion in the pixels of the color image. The proposed RGB image encryption attains the standard optimum level when compared it to the DNA and chaos-based image encryption techniques.

关键词： Chain ring 24 x 24 Substitution box DNA transform image encryption algorithm

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A color image encryption and decryption scheme based on extended DNA coding and fractional-order 5D hyper-chaotic system

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EXPERT SYSTEMS WITH APPLICATIONS 2024年 254卷

作者： Meng, Fan-Qi Wu, Gang Yancheng Teachers Univ Sch Math & Stat Yancheng 224002 Peoples R China

With the advancement of information technology, the security of digital images has become increasingly important. To ensure the integrity of images, this paper presents a novel color image encryption and decryption architecture. Firstly, a fractional-order five-dimensional hyper-chaotic system (F5DHS) is proposed and used to generate chaotic sequences for permutation and diffusion processes. Secondly, the extended DNA encoding scheme is employed to generate more DNA encoding rules and four DNA computation methods are used to improve the security of the encryption scheme. Thirdly, a blocked image encryption method is designed to divide the color image into sub-blocks and then determine the DNA encoding, DNA decoding and DNA arithmetic rules for each sub-block based on chaotic sequences. Finally, the results of simulation experiments and security analysis show that the color image encryption algorithm has good encryption performance, a large secret key space, and strong robustness to noise and data loss attacks, indicating that the proposed encryption algorithm can effectively protect the secure communication of digital images.

关键词： image encryption algorithm Blocked encryption method Fractional-order hyper-chaotic system Extended DNA coding technology

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The coupled Kaplan-Yorke-Logistic map for the image encryption applications

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COMPUTERS & ELECTRICAL ENGINEERING 2024年 120卷

作者： Pal, Puneet Kumar Kumar, Dhirendra Delhi Technol Univ Dept Appl Math Delhi 110042 India

Chaos has practical significance in various domains, including the stock market, quantum physics, communication networks, disease diagnosis, cosmic events, and digital data security. Chaotic maps are widely utilised for encrypting multimedia data for secure communication due to their sensitivity to initial conditions and unpredictability. However, some chaotic maps suffer from weak chaotic dynamics that can make them vulnerable to certain types of attacks, limiting their effectiveness in sensitive applications such as encryption or secure communication in military operations and personal data. This research study proposes a novel nonlinear discrete chaotic map termed a coupled Kaplan-Yorke-Logistic map. By coupling chaotic maps, the Kaplan-Yorke map and the Logistic map, we have significantly enhanced key features such as the length of chaotic orbits, output distribution, and the security of chaotic sequences. An empirical assessment of the proposed coupled Kaplan-Yorke-Logistic map in terms of several measures such as bifurcation diagrams, phase diagrams, Lyapunov exponent analysis, permutation entropy, and sample entropy shows promising ergodicity and a diverse range of hyperchaotic behaviours compared to several recent chaotic maps. Consequently, the proposed map is utilised to develop an efficient image encryption algorithm. The encryption algorithm employs a methodology that utilises simultaneous confusion and diffusion processes aiming to significantly reduce the computation time for encryption and decryption processes for realtime applications without compromising the security parameters. A thorough assessment of the proposed image encryption algorithm is performed on a variety of image datasets by utilising multiple cryptanalysis methods, including key space analysis, information entropy, correlation coefficient evaluation, differential attack, key sensitivity testing, histogram analysis, computational time analysis, and occlusion and noise attacks. Comparat

关键词： Nonlinear dynamics Chaotic map Discrete map Coupled Kaplan-Yorke-Logistic map image encryption algorithm

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DNA image encryption Scheme Based on a Chaotic LSTM Pseudo-Random Number Generator

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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2023年第6期33卷 2350067-2350067页

作者： Koubaa, Karama Derbel, Nabil Univ Sfax Natl Engn Sch Sfax Control & Energy Management Lab CEMLab BP 1173 Sfax 3038 Tunisia

Deoxyribonucleic Acid (DNA) coding technology is a new research field developed by the combination of computer science and molecular biology, that has been gradually applied in the field of image encryption in recent years. Furthermore, sensitivity to initial conditions, pseudo-random properties, and state ergodicity of coupled chaotic maps can help produce good pseudo-random number generators and meet the requirements of an image encryption system well. In this paper, an image encryption algorithm based on high-dimensional coupled chaotic maps and DNA coding is proposed. A pseudo-random sequence is generated by a long short-term memory (LSTM) architecture using the proposed maps and evaluated through a set of statistical tests to show the high performance of the proposed generator. All intensity values of an input image are converted to a binary sequence, which is scrambled globally by the high-dimensional coupled chaotic maps. The DNA operations are performed on the scrambled binary sequences instead of binary operations to increase the algorithm efficiency. Simulation results and performance analyses demonstrate that the proposed encryption scheme is extremely sensitive to small changes in secret keys, provides high security and can resist differential attack.

关键词： DNA coding high-dimensional coupled chaotic maps image encryption algorithm long short-term memory pseudo-random sequence

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Dynamic analysis of an improper fractional-order laser chaotic system and its image encryption application

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OPTICS AND LASERS IN ENGINEERING 2020年 129卷 106031-106031页

作者： Yang, Feifei Mou, Jun Ma, Chenguang Cao, Yinghong Dalian Polytech Univ Sch Informat Sci & Engn Dalian 116034 Liaoning Peoples R China

The fractional-order chaotic systems have characteristics of the all chaotic systems, however, the improper fractional-order chaotic systems have more complexity random sequences, which more suitable for chaotic cryptosystems. To investigate the application of improper fraction order chaotic system in chaotic cryptography, in this paper, an improper fractional-order laser chaotic system is constructed and applied in image encryption algorithm. The dynamic performances of the system are studied through phase diagrams, Lyapunov exponents spectrum, bifurcation diagrams and C-0 complexity. Meanwhile, the improper fractional-order laser chaotic system is realized based on DSP platform. In addition, the performances of the designed encryption scheme are analyzed by key space, correlation coefficients, information entropy, histogram, differential attacks and robustness analysis. The experimental simulation results indicate that the improper fractional-order laser chaotic system not only has the abundant dynamic characteristics, but also has better security when it is used to image encryption algorithm. Therefore, this research would provide theoretical basis for the improper fractional-order laser chaotic system in security communications application.

关键词： Improper fractional-order laser chaotic system DSP Implementation image encryption algorithm

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image encryption Application of Chaotic Sequences Incorporating Quantum Keys

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International Journal of Automation and computing 2020年第1期17卷 123-138页

作者： Bin Ge Hai-Bo Luo School of Computer Science and Engineering Anhui University of Science and Technology

This paper proposes an image encryption algorithm LQBPNN（logistic quantum and back propagation neural network）based on chaotic sequences incorporating quantum keys. Firstly, the improved one-dimensional logistic chaotic sequence is used as the basic key sequence. After the quantum key is introduced, the quantum key is incorporated into the chaotic sequence by nonlinear operation. Then the pixel confused process is completed by the neural network. Finally, two sets of different mixed secret key sequences are used to perform two rounds of diffusion encryption on the confusing image. The experimental results show that the randomness and uniformity of the key sequence are effectively enhanced. The algorithm has a secret key space greater than 2182. The adjacent pixel correlation of the encrypted image is close to 0, and the information entropy is close to 8. The ciphertext image can resist several common attacks such as typical attacks, statistical analysis attacks and differential attacks.

关键词： Logistic chaotic system quantum key nonlinear operation sequence performance image encryption algorithm

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image encryption based on Fisher-Yates shuffling and three dimensional chaotic economic map

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IET image PROCESSING 2019年第12期13卷 2086-2097页

作者： Karawia, Abdelrahman Qassim Univ Comp Sci Unit Deanship Educ Serv Buraydah 51452 Saudi Arabia Mansoura Univ Dept Math Fac Sci Mansoura 35516 Egypt

Recently, few researchers investigated algorithms of image encryption using different chaotic economic maps (CEMs). However, the authors investigated the effect of these maps on the encryption of the plain image. In the current study, an image encryption algorithm via Fisher-Yates shuffling (FYS) combined with a three-dimensional (3D) CEM is given. FYS is used to generate the random permutation of a finite sequence. First, it is used to shuffle the rows and the columns of the plain image. Second, the 3DCEM is used in the substitution stage to confuse the pixels of the shuffling image. The proposed algorithm is applied to several types of images. Many measurements are performed to check the security and performance of the proposed algorithm. In addition, numerical simulations and experimental results have been implemented to verify that the proposed algorithm can resist different attack types.

关键词： chaos cryptography image processing plain image image encryption algorithm FYS three-dimensional CEM 3DCEM shuffling image Fisher-Yates shuffling chaotic economic maps substitution stage

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Chosen Plaintext Attacking on a Hyper-chaos image encryption algorithm

Chosen Plaintext Attacking on a Hyper-chaos Image Encryption...

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2013 IEEE 4th International Conference on Electronics Information and Emergency Communication

作者： Yin Yan-Qing Long Zhuo-Min Department of Electronics and Information Engineering Hunan Institute of Technology

ISBN: (纸本)9781467349345

The problems of vulnerability of the image encryption algorithm are proposed by the researchers analyzing the algorithm concerning pixel permutation and diffusion based on the hyper-chaos. Not given any knowledge of the key value, these vulnerable parts are attacked by three plaintext matrixes with their own characters, causing the ciphered-image being recovered at a low computing pay in which the theoretical analysis process, practical block diagram and simulation results of the chosen plaintext attacking are given. According to the results, these imperfect parts cause that the algorithm can not resist the chosen plaintext attacking.

关键词： hyper-chaotic system image encryption algorithm chosen plaintext attack

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Characteristic analysis of the fractional-order hyperchaotic complex system and its image encryption application

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SIGNAL PROCESSING 2020年第0期169卷 107373-000页

作者： Yang, Feifei Mou, Jun Liu, Jian Ma, Chenguang Yan, Huizhen Dalian Polytech Univ Sch Informat Sci & Engn Dalian 116034 Peoples R China Univ Jinan Sch Math Sci Jinan 250022 Peoples R China

To explore characteristic of a new system with fractional order and complex variables, based on Adomian decomposition method (ADM), its nonlinear dynamical behaviors are discussed by bifurcation diagram, Lyapunov exponent spectrum, spectral entropy (SE) complexity, and DSP implementation. It is found that, for each parameter and order, there exists a large interval to make the system remain a hyper-chaotic state, which illustrates that the hyper-chaotic sequence could be more random to be applied in image encryption. Especially, a novel image encryption algorithm is proposed based on the fractional order hyper-chaotic complex system and Galois field (GF). The column cyclic shift is used to scrambling part, the GF(17) algorithm is to diffuse pixel value. The security performances of algorithm are also analyzed. Finally, experiment results indicate that the proposed algorithm not only can effectively encrypt image, but also has better security features. (C) 2019 Elsevier B.V. All rights reserved.

关键词： Fractional-order hyperchaotic complex system image encryption algorithm DSP implementation

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