Hyperchaotic system‐based pseudorandom number generator

Liu, Yang; Tong, Xiaojun

doi:10.1049/iet-ifs.2015.0024

Cited by 27 publications

(14 citation statements)

References 46 publications

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“…However, most RNGs based on chaos have a typical disadvantage. at is to say, the limited precision of all processors may cause the chaotic system to degenerate into periodic function or fixed point [94]. In order to overcome this disadvantage, a generator based on hyperchaos was proposed in [94].…”

Section: Introductionmentioning

confidence: 99%

“…at is to say, the limited precision of all processors may cause the chaotic system to degenerate into periodic function or fixed point [94]. In order to overcome this disadvantage, a generator based on hyperchaos was proposed in [94]. e self-shrinking generator was used to disturb the hyperchaotic sequence to reduce the period degradation and improve the sequence performance, which was superior to many other linear-feedback-shift register-based generators.…”

Section: Introductionmentioning

confidence: 99%

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Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Liu

Qian

et al. 2020

Complexity

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Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy are used to analyze the basic dynamics of the 5D memristive hyperchaotic system. For a specific set of parameters, we find an unusual metastability, which shows the transition from chaotic to periodic (period-2 and period-3) dynamics. Moreover, its circuit implementation is also proposed. By using the chaoticity of the novel hyperchaotic system, we have developed a random number generator (RNG) for practical image encryption applications. Furthermore, security analyses are carried out with the RNG and image encryption designs.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Liu

Qian

et al. 2020

Complexity

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“…The more positive the value of λ is, the more sensitive the system is to initial conditions and the closer to zero that λ is, the less sensitive the system will be to the initial conditions. Equations (11) and (12) are the modified quadratic maps that are proposed in.…”

Section: Chaotic-map-based Encryptionmentioning

confidence: 99%

“…Therefore, specific encryption techniques are required for such a bulky data. In comparison to traditional encryption techniques, chaotic map cryptosystems are considered more suitable for image encryption [3][4][5][6][7][8][9][10][11][12]. However, some chaotic cryptosystems have well-known weaknesses such as relatively small key size, short-length chaotic orbits and lack of the confusion property [4,13].…”

Section: Introductionmentioning

confidence: 99%

Joint Image Compression and Encryption Using IWT with SPIHT, Kd-Tree and Chaotic Maps

Nasrullah¹,

Sang

Akbar

et al. 2018

Applied Sciences

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Confidentiality and efficient bandwidth utilization require a combination of compression and encryption of digital images. In this paper, a new method for joint image compression and encryption based on set partitioning in hierarchical trees (SPIHT) with optimized Kd-tree and multiple chaotic maps was proposed. First, the lossless compression and encryption of the original images were performed based on integer wavelet transform (IWT) with SPIHT. Wavelet coefficients undergo diffusions and permutations before encoded through SPIHT. Second, maximum confusion, diffusion and compression of the SPIHT output were performed via the modified Kd-tree, wavelet tree and Huffman coding. Finally, the compressed output was further encrypted with varying parameter logistic maps and modified quadratic chaotic maps. The performance of the proposed technique was evaluated through compression ratio (CR) and peak-signal-to-noise ratio (PSNR), key space and histogram analyses. Moreover, this scheme passes several security tests, such as sensitivity, entropy and differential analysis tests. According to the theoretical analysis and experimental results, the proposed method is more secure and decreases the redundant information of the image more than the existing techniques for hybrid compression and encryption.

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“…The use of chaotic systems as an entropy source in RNGs suggests the possibility of reaching higher throughput data without the need for post processing and with ease of implementation in an integrated circuit form [8][9][10]. With two or more positive Lyapunov exponents, hyperchaotic systems can also be used for random number generation, and they have more complex behaviors, making it harder to predict the RNG output time series [11]. However, synchronization of two coupled hyperchaotic systems despite parameter mismatches was demonstrated in [12] based on the concept of the Master Stability Function.…”

Section: Introductionmentioning

confidence: 99%

An Analysis of Deterministic Chaos as an Entropy Source for Random Number Generators

Demir

Ergün

2018

Entropy

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This paper presents an analytical study on the use of deterministic chaos as an entropy source for the generation of random numbers. The chaotic signal generated by a phase-locked loop (PLL) device is investigated using numerical simulations. Depending on the system parameters, the chaos originating from the PLL device can be either bounded or unbounded in the phase direction. Bounded and unbounded chaos differs in terms of the flatness of the power spectrum associated with the chaotic signal. Random bits are generated by regular sampling of the signal from bounded and unbounded chaos. A white Gaussian noise source is also sampled regularly to generate random bits. By varying the sampling frequency, and based on the autocorrelation and the approximate entropy analysis of the resulting bit sequences, a comparison is made between bounded chaos, unbounded chaos and Gaussian white noise as an entropy source for random number generators.

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Hyperchaotic system‐based pseudorandom number generator

Cited by 27 publications

References 46 publications

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Joint Image Compression and Encryption Using IWT with SPIHT, Kd-Tree and Chaotic Maps

An Analysis of Deterministic Chaos as an Entropy Source for Random Number Generators

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