Data encryption based on a 9D complex chaotic system with quaternion for smart grid

Zhang, Fangfang; Huang, Zhe; Kou, Lei; Li, Yang; Cao, Maoyong; Ma, Fang

doi:10.1088/1674-1056/ac76b2

Cited by 11 publications

(4 citation statements)

References 22 publications

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“…In addition, numerous researchers have employed various privacy-protection methods to safeguard the security of power grid data in diverse aspects of the electrical power system. These methods include blockchain technology [21], data encryption [22], anti-synchronization, and the Bogdanov transformation map [23]. The objective is to achieve a secure and efficient smart grid system.…”

Section: Literature Reviewmentioning

confidence: 99%

Description and Analysis of Data Security Based on Differential Privacy in Enterprise Power Systems

Zhong,

Zhang,

Yin

et al. 2023

Mathematics

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The pursuit of environmental sustainability, energy conservation, and emissions reduction has become a global focal point. Electricity is the primary source of energy in our daily lives. Through the analysis of smart power systems, we can efficiently and sustainably harness electrical energy. However, electric power system data inherently contain a wealth of sensitive user information. Therefore, our primary concern is protecting these sensitive user data while performing precise and effective analysis. To address this issue, we have innovatively proposed three granular information models based on differential privacy. In consideration of the characteristics of enterprise electricity consumption data and the imperative need for privacy protection, we implement a reasonable modeling process through data processing, information granulation expression, and the optimization analysis of information granularity. Our datasets encompass enterprise electricity consumption data and related attributes from Hitachi Building Technology (Guangzhou) Co., Ltd’s cloud computing center. Simultaneously, we have conducted experiments using publicly available datasets to underscore the model’s versatility. Our experimental results affirm that granular computation can improve the utility of differential privacy in safeguarding data privacy.

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Section: Literature Reviewmentioning

confidence: 99%

Description and Analysis of Data Security Based on Differential Privacy in Enterprise Power Systems

Zhong,

Zhang,

Yin

et al. 2023

Mathematics

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“…Great encryption performance can be obtained by using this system to encrypt color images. Zhang et al [12] proposed a 9-dimensional (9D) complex chaotic system and used its pseudo-random sequence to encrypt power data. Liu et al [13] constructed a novel cryptosystem based on a complex chaotic network system.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional-lag complex logistic map with complex parameters and its encryption application

Zhang 张,

Wu 武,

Kou 寇

et al. 2024

Chinese Phys. B

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With the rapid development of Internet technology, security protection of information has become more and more prominent, especially Information encryption. Considering the great advantages of chaotic encryption, we propose 2D-lag Complex Logistic map with Complex Parameters (2D-LCLMCP) and corressponding encryption schemes. Firstly, we present the model of 2D-LCLMCP and analyzed its chaotic properties and system stability through fixed points, Lyapunov exponent, bifurcation diagram, phase diagram, etc. Secondly, a block cipher algorithm base on 2D-LCLMCP is proposed, the plaintext data is preprocessed using a pseudorandom sequence generated by 2D-LCLMCP. Based on the generalized Feistel cipher structure, a round function $F$ is constructed using dynamic S-Box and DNA encoding rules as the core of the block cipher algorithm. The generalized Feistel cipher structure consists of two $F$ functions, four XOR operations, and one permutation operation per round. The symmetric dynamic round keys that change with the plaintext are generated by 2D-LCLMCP. Finally, experimental simulation and performance analysis tests are conducted. The results showed that the block cipher algorithm has low complexit, good diffusion and a large key space. When the block length is 64 bits, only six rounds of encryption are required to provide sufficient security and robustness against cryptographic attacks.

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“…Therefore, Scholars have encrypted the data using pseudo random sequences generated by chaotic systems. Hyperchaotic systems have better chaotic characteristics and orbital complexity, and can effectively generate chaotic sequences [5]. Although these methods can resist selection or known-plaintext attack.…”

Section: Introductionmentioning

confidence: 99%

A Fast Image Encryption Algorithm Based on Logistic Mapping and Hyperchaotic Lorenz System for Clear Text Correlation

Parthasarathy

et al. 2023

IEEE Access

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Image encryption (IE) technology is vital to privacy, but the parameter range of the traditional image encryption technology is limited. So it is important to enhance the performance of IE methods. In this study, a plaintext associative IE based on the improved logistic map and hyperchaotic system is proposed. The improved logistic map scrambles the pixels of the image. Then the hyperchaotic system performs diffusion and confusion operations on the image. For parameters μ and r, the sequence generated by the improved logistic map can traverse and uniformly distribute in the space (0,1). The Lyapunov exponent of the improved logistic map is greater than 21.5. The correlation coefficients of the encrypted image pixels after encryption are all less than 0.05. The UACI and NPCR indices of the improved encryption method are close to their theoretical values of 98.6133 and 33.1287, respectively, which are higher than those of the reference methods. The improved encryption method overcomes the limitations in the parameter range of traditional image and text encryption techniques, slow encryption speed, and uneven chaotic sequences. This method has higher security and sensitivity, andit can be used to establish a plaintext associative IE method.

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Data encryption based on a 9D complex chaotic system with quaternion for smart grid

Cited by 11 publications

References 22 publications

Description and Analysis of Data Security Based on Differential Privacy in Enterprise Power Systems

Description and Analysis of Data Security Based on Differential Privacy in Enterprise Power Systems

Two-dimensional-lag complex logistic map with complex parameters and its encryption application

A Fast Image Encryption Algorithm Based on Logistic Mapping and Hyperchaotic Lorenz System for Clear Text Correlation

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