Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems

Wang, Qianxue; Yu, Simin; Li, Chengqing; Lü, Jinhu; Fang, Xiaole; Guyeux, Christophe; Bahi, Jacques M.

doi:10.1109/tcsi.2016.2515398

Cited by 205 publications

(93 citation statements)

References 49 publications

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“…However, implementation of continuous space domain chaotic systems on computers and other digital devices causes dynamical degradation (Wang et al, 2016). Taking into account the high sensitivity to initial conditions of the chaotic maps, small differences caused by the use of approximations has a great influence on the obtained S-boxes.…”

Section: Introductionmentioning

confidence: 99%

S-box design method based on improved one-dimensional discrete chaotic map

Lambić

2018

Journal of Information and Telecommunication

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To cite this article: Dragan Lambić (2018) S-box design method based on improved onedimensional discrete chaotic map, Journal of Information and Telecommunication, 2:2, 181-191, DOI: 10.1080/24751839.2018 A new method for obtaining random bijective S-boxes based on improved one-dimensional discrete chaotic map is presented. The proposed method uses a new special case of discrete chaotic map based on the composition of permutations, in order to overcome the problem with potentially short length of the orbits. The proposed special case is based on the composition of permutations and sine function and has a larger minimum length of the orbits compared to the previous special case of the discrete-space chaotic map. The results of performance test show that the example of S-box generated by the proposed method has good cryptographic properties. The proposed method can achieve large key space, which makes it suitable for generation of larger S-boxes, and the process of generation of S-boxes is not affected by approximations of any kind. Also, proposed method has potential to operate at greater speed and with smaller memory requirements than previous S-box generation method based on discrete space chaotic map, which can be particularly useful for lightweight devices such as wireless sensor networks. ARTICLE HISTORY

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Section: Introductionmentioning

confidence: 99%

S-box design method based on improved one-dimensional discrete chaotic map

Lambić

2018

Journal of Information and Telecommunication

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“…P 1 i , P 2 i , P 3 i , and P 4 i are the adjacent plaintext stream with the purpose of parallel encryption. According to Equations (1) and (2), f 1 (·), f 2 (·), f 3 (·), and f 4 (·) can be given as Equation (4). The encryption process of the self-synchronous chaotic stream cipher can be described as follows:…”

Section: The Design Of Self-synchronous Chaotic Stream Ciphermentioning

confidence: 99%

“…However, because of the high correlation and redundancy of adjacent pixels of the digital image, some international standard encryption algorithms are not suitable for image encryption, including 3DES (Triple Data Encryption Algorithm), IDEA (International Data Encryption Algorithm), and AES (Advanced Encryption Standard), etc. On the other hand, the chaotic nonlinear dynamic system has some good characteristics, such as positive Lyapunov exponents, ergodicity, sensitivity to initial conditions, topological transitivity, and unpredictability [2][3][4][5], and was widely applied in the field of cryptography and secret communication.…”

Section: Introductionmentioning

confidence: 99%

A Novel Image Encryption Scheme Based on Self-Synchronous Chaotic Stream Cipher and Wavelet Transform

Fan

Ding

2018

Entropy

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Abstract:In this paper, a novel image encryption scheme is proposed for the secure transmission of image data. A self-synchronous chaotic stream cipher is designed with the purpose of resisting active attack and ensures the limited error propagation of image data. Two-dimensional discrete wavelet transform and Arnold mapping are used to scramble the pixel value of the original image. A four-dimensional hyperchaotic system with four positive Lyapunov exponents serve as the chaotic sequence generator of the self-synchronous stream cipher in order to enhance the security and complexity of the image encryption system. Finally, the simulation experiment results show that this image encryption scheme is both reliable and secure.

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“…Implementation of chaotic and hyperchaotic system using Field Programmable Gate Arrays (FPGA) is widely investigated [32][33][34]. Chaotic random number generators are implemented in FPGA for applications in image cryptography [35].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation Analysis and Chaos Control of a Fractional Order Portal Frame with Nonideal Loading Using Adaptive Sliding Mode Control

Rajagopal

Karthikeyan

Duraisamy

2017

Shock and Vibration

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We investigate the chaotic oscillations in a fractional order model of a portal frame with nonideal loading. The bifurcation of the fractional order portal frame system for parameters and fractional orders are investigated. Bicoherence analysis shows the existence of quadratic nonlinearities. Fractional order adaptive sliding mode controllers are designed to suppress the chaotic oscillations with uncertain parameters. Power efficiency analysis of the FPGA implemented control scheme shows the maximum power utilization in the fractional order showing the largest Lyapunov exponent.

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Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems

Cited by 205 publications

References 49 publications

S-box design method based on improved one-dimensional discrete chaotic map

S-box design method based on improved one-dimensional discrete chaotic map

A Novel Image Encryption Scheme Based on Self-Synchronous Chaotic Stream Cipher and Wavelet Transform

Bifurcation Analysis and Chaos Control of a Fractional Order Portal Frame with Nonideal Loading Using Adaptive Sliding Mode Control

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