Novel One‐Dimensional Chaotic System and Its Application in Image Encryption

Cheng, Zhiqiang; Wang, Wencheng; Dai, Yuezhang; Li, Lun

doi:10.1155/2022/1720842

Cited by 5 publications

(3 citation statements)

References 49 publications

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“…The Sin-cos system evolution law is described by a pair of sine and cosine functions [24] , and the mapping exhibits periodicity and chaotic nature in one-dimensional space. It is mathematically formulated as equation ( 2):…”

Section: Sin-cos Systemmentioning

confidence: 99%

An S-box multi-objective optimization algorithm based on composite chaos and rolling Boolean

Cheng,

Tong,

Wang

et al. 2024

Preprint

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As a critical component in cryptographic algorithms, the S-box plays a crucial role in modern cryptography. In this paper, we first study the properties of traditional chaotic systems, design a one-dimensional chaotic system with an extensive parameter range and excellent chaotic properties, and design an initial chaotic S-box based on the system. Secondly, we create a Boolean function nonlinearity boosting algorithm based on the proposed Boolean function nonlinearity boosting theorem and a rolling Boolean S-box nonlinearity boosting theorem based on the proposed S-box nonlinearity boosting theorem. S-box nonlinearity boosting algorithm. In addition, for the constructed high nonlinear S-box, the other performances of the S-box are further optimized by a multi-objective optimization annealing algorithm. The best S-box obtained is analyzed for the performance of nonlinearity, strict avalanche, linear approximation probability, differential uniformity, and bit-independence criterion. We receive a high-performance S-box with a nonlinearity of 114.75. Finally, a high-performance S-box with a nonlinearity of 114.75 is designed. Image encryption that only relies on the S-box, and through the tests of the histogram, adjacent-pixels correlation, and information entropy, the results show that the generated high-performance S-box has a complex substitution effect, which is sufficient to meet the nonlinear design requirements of the packet encryption algorithm.

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Section: Sin-cos Systemmentioning

confidence: 99%

An S-box multi-objective optimization algorithm based on composite chaos and rolling Boolean

Cheng,

Tong,

Wang

et al. 2024

Preprint

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show abstract

“…Liu et al [49] unveiled an image encryption algorithm based on a 4D chaotic map and steganography, achieving high security by incorporating the image content into the encryption process. Cheng et al [50] introduced a new 1D chaotic system for image encryption, featuring a simple structure yet excellent chaotic behavior, validated through resistance to standard attacks. Salman et al [51] employed a one-dimensional logistic map-based S-box for color image data encryption, passing several cryptographic tests, demonstrating its effectiveness.…”

Section: Elated Workmentioning

confidence: 99%

A Novel Approach to Secure Hashing: Implementing Chaotic Hash Functions for Enhanced Security

2024

Preprint

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This study introduces an innovative hash function based on a one-dimensional chaotic map, showcasing its strong security capabilities through extensive experimental validation. The development of hash functions has received increasing attention in recent years due to their crucial role in a wide range of information and computer science applications, such as cryptography, ensuring data integrity, and facilitating data indexing. Our chaotic map exhibits robust chaotic behavior, characterized by its high sensitivity to initial conditions and its inherent unpredictability, making it an ideal foundation for the hash function. This function is capable of effectively transforming variable-length input data into 256-bit hash values. It can be easily adapted for different output bit lengths with minimal adjustments to the algorithm's grouping length. Comprehensive security assessments, including rigorous testing against various potential attacks, have been conducted to confirm the hash function's resilience. The combined use of experimental and analytical evaluation methods has confirmed the exceptional security of our proposed hash function, highlighting its potential for critical applications in data integrity verification and encryption that demand high security.

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“…Through simulation test, compare and analyze the correlation coefficients before and after encryption of Lena and Baboon. Furthermore, a comparison was made with the correlations mentioned in the literature [25] [26], as shown in Table IV. The analysis reveals that the correlation of different channels (R, G, and B) in different directions before encryption is close to 1, indicating a higher correlation.…”

Section: B Correlation Analysismentioning

confidence: 99%

Hyperchaotic Image Encryption System Based on Deep Learning LSTM

Li,

et al. 2023

IJACSA

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This paper introduces an advanced method for enhancing the security of image transmission. It presents a novel color image encryption algorithm that combines hyperchaotic dynamics and deep learning medium and long short-term memory (LSTM) networks. Firstly, the chaotic sequence is generated using the Lorenz hyperchaotic system, then the Lorenz chaotic system is discretized and iteratively processed using the fourth-order Runge-Kutta (RK4) method, and then the deep learning LSTM model is used to transform the chaotic sequence processed by the Lorenz hyperchaotic system into a new sequence for training. Finally, according to the new chaotic signal, the Arnold disruption and Deoxyribo Nucleic Acid (DNA) encoding double disruption diffusion are performed to derive the ultimate encrypted image. Through the analysis of multiple color image simulation experiments, the algorithm presented in this paper can well realize the encryption on color images and can achieve lossless encryption, with strong resistance to differential attack, statistical attack and violent attack. Compared with the literature analysis, the correlation coefficient, information entropy and pixel change rate of this paper are closer to the ideal value, and it has higher security and better encryption effect.

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Novel One‐Dimensional Chaotic System and Its Application in Image Encryption

Cited by 5 publications

References 49 publications

An S-box multi-objective optimization algorithm based on composite chaos and rolling Boolean

An S-box multi-objective optimization algorithm based on composite chaos and rolling Boolean

A Novel Approach to Secure Hashing: Implementing Chaotic Hash Functions for Enhanced Security

Hyperchaotic Image Encryption System Based on Deep Learning LSTM

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