Pseudorandom number generator based on enhanced Hénon map and its implementation

Meranza-Castillón, Manuel Omar; Murillo-Escobar, Miguel Ángel; López-Gutiérrez, R.M.; Cruz-Hernández, C.

doi:10.1016/j.aeue.2019.05.028

Cited by 72 publications

(21 citation statements)

References 19 publications

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“…In order to prove the high level of reliability, some security analysis must be carried out according to the data type. Key space, sensitivity, floating frequency, histograms, correlation, and information entropy analysis are common security analysis in the literature [97][98][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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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%

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 value of r must be large than 0 to withstand a special image attack. The statistical property A will be multiplied with Henon map as presented in Equation 3to enhance the immunity of the proposed scheme against knownchosen plaintext cryptanalysis, and to improve Henon map since the multiplication design and modular operator are used to enhance the chaotic dynamic of the Henon map without affecting the keyspace [23].…”

Section: Plain Image Related Henon Map (Pihm)mentioning

confidence: 99%

“…Motivated by the above introduction and to address this shortcoming, a new image cryptosystem under an efficient connected structure of confusiondiffusion is suggested in this article. The proposed cryptosystem does not utilize a complex high dimensional chaotic system or hash algorithm, but it utilizes statistical property that is extracted from a plain image to enhance the chaotic behavior of modified two-dimensional Henon map [23] and immunity of the encryption algorithm against known-chosen plaintext cryptanalysis.…”

Section: Introductionmentioning

confidence: 99%

An Efficient Confusion-Diffusion Structure for Image Encryption Using Plain Image Related Henon Map

Ahmed¹,

Shibeeb²,

Abbood³

2020

IJC

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Chaos-based image encryption has great significance as a branch of image security. So, a series of chaos-based cryptosystems protecting digital images are proposed in recent years. But, most of them have been broken as a result of poor encryption structure. This research paper suggests an effective image encryption structure to resist possible attacks. The proposed method employs plain image related Henon map (PIHM) for shuffling and diffusion processes in a connected way which is different from conventional chaotic based image encryption systems, since the initial conditions of diffusion process are established based on the initial conditions of shuffling process. The principle of confusion is achieved by shuffling the pixels over all the rows and columns. And the diffusion is ensured by using XOR operation of current shuffled pixel value with the previous value, and random pixel produced from PIHM map. The results of simulation and security analysis indicate that the proposed scheme has desirable encryption effects and is robust against different common attacks.

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“…In recent years, there exist several studies related to FPGA-based PRNG designs of chaotic systems [20], [64]- [66]. In [20], four chaotic maps: Bernoulli shift map, tent, zigzag, and Borujeni maps are selected to implement a PRNG.…”

Section: Introductionmentioning

confidence: 99%

“…The output attractor of the proposed PRNG can be reconfigured using an effective hard-wire shift and multiplexing scheme during real-time operation. In [66], a high-speed PRNG model is implemented on the FPGA by using enhanced Henon map, which has been passed by a comprehensive security analysis. The random bit set generated by PRNG is further verified by NIST 800.22 statistical tests, which proves that the design can be used in cryptographic applications.…”

Section: Introductionmentioning

confidence: 99%

Design and FPGA Implementation of a Pseudorandom Number Generator Based on a Four-Wing Memristive Hyperchaotic System and Bernoulli Map

Wan

Jin

et al. 2019

IEEE Access

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Random numbers are widely used in the fields of computer, digital signature, secure communication and information security. Especially in recent years, with the large-scale application of smart card and the demand of information security, the demand for high-quality random number generator is increasingly urgent. With the development of the theory of non-linear systems, the design of pseudorandom number generator (PRNG) for chaotic behavior of non-linear systems provides a new theoretical basis and implementation method. This paper presents a PRNG based on a no-equilibrium four-wing memristive hyperchaotic system (FWMHS) and its implementation on Field Programmable Gate Array (FPGA) board. In order to increase the output throughput and the statistical quality of the generated bit sequences, we propose the PRNG design which uses a dual entropy sources architecture with FWMHS and Bernoulli map. Simulation and experimental results verifying the feasibility of the FWMHS are also given. Then, the proposed PRNG system is modeled and simulated on the Vivado 2018.3 platform, and implemented on the Xilinx ZYNQ-XC7Z020 FPGA evaluation board. The maximum operating frequency has been achieved as 135.04 MHz with a speed of 62.5 Mbit/s. Finally, we have experimentally verified that the binary data obtained by this dual entropy sources architecture pass the tests of NIST 800.22, ENT and AIS.31 statistical test suites with XOR function post-processing for a high throughput speed. The security analysis is carried out by means of dynamical degradation, key space, key sensitivity, correlation and information entropy. Statistical tests and security analysis show that it has good pseudorandom characteristics and can be used in chaos-based cryptographic applications at hardware or software implementation. INDEX TERMS Pseudorandom number generator (PRNG), FPGA, four-wing memristive hyperchaotic system (FWMHS), Bernoulli map, security analysis.

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Pseudorandom number generator based on enhanced Hénon map and its implementation

Cited by 72 publications

References 19 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

An Efficient Confusion-Diffusion Structure for Image Encryption Using Plain Image Related Henon Map

Design and FPGA Implementation of a Pseudorandom Number Generator Based on a Four-Wing Memristive Hyperchaotic System and Bernoulli Map

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