A multidimensional discrete digital chaotic encryption system

Li, Wangshu; Wang, Chuanfu; Feng, Kai; Huang, Xin; Ding, Qun

doi:10.1177/1550147718802781

Cited by 5 publications

(5 citation statements)

References 16 publications

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“…The values a , b , and c are the parameters of Lorenz system. As reported in 14 , Lorenz system falls into a hyperchaotic state for a = 10, b = 8/3, and c = 28. The effective intervals for the initial variables , , and are: , (−40, 40) and (1, 80).…”

Section: Chaotic System: Lorenz Chaotic Systemmentioning

confidence: 53%

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Encryption technique based on chaotic neural network space shift and color-theory-induced distortion

Al-Muhammed

Zitar

2022

Sci Rep

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Protecting information privacy is likely to promote trust in the digital world and increase its use. This trust may go a long way toward motivating a wider use of networks and the internet, making the vision of the semantic web and Internet of Things a reality. Many encryption techniques that purport to protect information against known attacks are available. However, since the security challenges are ever-growing, devising effective techniques that counter the emerging challenges seems a rational response to these challenges. This paper proffers an encryption technique with a unique computational model that inspires ideas from color theory and chaotic systems. This mix offers a novel computation model with effective operations that (1) highly confuse plaintext and (2) generate key-based enormously complicated codes to hide the resulting ciphertext. Experiments with the prototype implementation showed that the proposed technique is effective (passed rigorous NIST/ENT security tests) and fast.

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Section: Chaotic System: Lorenz Chaotic Systemmentioning

confidence: 53%

“…To use Lorenz chaotic system, it must be discretized. Although many discretization methods, we use the fourth-order Runge-Kutta method, which can be found in 14 .…”

Section: Chaotic System: Lorenz Chaotic Systemmentioning

confidence: 99%

Encryption technique based on chaotic neural network space shift and color-theory-induced distortion

Al-Muhammed

Zitar

2022

Sci Rep

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“…This system exhibits dynamics associated with chaotic properties. The equation describing this map is given below [28]:…”

Section: Historical Reviewmentioning

confidence: 99%

WAM 3D Discrete Chaotic Map for Secure Communication Applications

Abdul-Kareem,

Mahmoud Al-Jawher

2023

Int J Innov Comp

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Chaotic systems have become widely adopted as an effective way for secure data communications, because of its simple mathematical complexity and good security. The relationship between encryption algorithms and chaos systems has gained a lot of attention in the past few years, since it avoids the data spreading as well as lower the transmission delay and costs. In this paper a novel 3D discrete chaotic map is proposed for data encryption and secure communication and named as WAM. For secure communication, the Pecora and Carroll (P-C) method was utilized to achieve synchronization between the master system and the slave system. The simulation results of WAM 3D discrete chaotic map showed that the system has a chaotic behavior and a characteristic randomness and can pass 0-1, Lyapunov exponent (LE) and NIST tests which are usually used to check chaotic behavior. The statistical outcomes of the LE test were 0.0193, the frequency test (FT) was 0.4237, and the run test (RT) yielded a value of 0.0607. As a result, it enrich the theoretical basis of the equations and implementation of chaos, and it is superior for encryption algorithms and communication security applications.

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“…These systems generate aperiodic signals whose evolution, seen from the outside, lies on the edges between random and deterministic worlds. Therefore, the chaotic oscillators are of major interest for the generation of pseudo-random signals [3,4], or for the encryption of data [5][6][7], speech [8] or images [9][10][11][12]. Various modulation schemes, like the chaos shift keying, use a chaotic carrier in order to secure the transmission and to reinforce its confidentiality [13,14].…”

Section: Introductionmentioning

confidence: 99%

Design and Implementation of a Digital Dual Orthogonal Outputs Chaotic Oscillator

et al. 2020

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Discrete time dynamical chaotic systems obey a set of recurrence equations involving one or more variables. Many chaotic maps have been proposed. None that simultaneously provides two sine–cosine outputs has stationary mean and standard deviation, or is quite robust with respect to the data format used in the hardware implementation. Here, we propose a chaotic oscillator based on a complex phasor whose angular argument evolves according to a geometric progression that is independent of the instantaneous amplitude. In order to maintain the oscillations, the phasor magnitude is normalized at each iteration using an approximation factor. The statistical characteristics of this oscillator are stationary in the short term, and do not depend on the initial conditions. The mean and standard deviation of the two orthogonal sequences quickly approach 0 and 1 / 2 , respectively. The resulting distribution is similar to that of a digital sine with a constant angular step. We also present an FPGA architecture and its implementation results. This oscillator can be used in modulation schemes, such as the chaotic shift keying one or for data and image encryption. Finally, we show an original application that exploits the orthogonality of the two chaotic signals for the simultaneous encryption of two digital images.

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A multidimensional discrete digital chaotic encryption system

Cited by 5 publications

References 16 publications

Encryption technique based on chaotic neural network space shift and color-theory-induced distortion

Encryption technique based on chaotic neural network space shift and color-theory-induced distortion

WAM 3D Discrete Chaotic Map for Secure Communication Applications

Design and Implementation of a Digital Dual Orthogonal Outputs Chaotic Oscillator

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