A New Efficient Digital Image Encryption Based on Inverse Left Almost Semi Group and Lorenz Chaotic System

Younas, Irfan; Khan, Majid

doi:10.3390/e20120913

Cited by 95 publications

(35 citation statements)

References 42 publications

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“…Now, let delay τ 1 ∈ (0, τ 0 1 ), and τ 2 is taken as a parameter. Assuming λ � iσ is the characteristic root under the two delays in the characteristic equation (5), then 4 Complexity…”

Section: Existence Of Hopf Bifurcation In Financial Systemmentioning

confidence: 99%

“…With the advent of computers, it is now possible to study the entire parameter space of these systems that result in some desired characteristics of the system. Recently, there has been increasing attention to some unusual examples and application of such systems [1][2][3][4][5][6][7][8]. e financial system is an extremely complex nonlinear dynamical system composed of many elements.…”

Section: Introductionmentioning

confidence: 99%

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Hopf Bifurcation and Dynamic Analysis of an Improved Financial System with Two Delays

et al. 2020

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e complex chaotic dynamics and multistability of financial system are some important problems in micro-and macroeconomic fields. In this paper, we study the influence of two-delay feedback on the nonlinear dynamics behavior of financial system, considering the linear stability of equilibrium point under the condition of single delay and two delays. e system undergoes Hopf bifurcation near the equilibrium point. e stability and bifurcation directions of Hopf bifurcation are studied by using the normal form method and central manifold theory. e theoretical results are verified by numerical simulation. Furthermore, one feature of the proposed financial chaotic system is that its multistability depends extremely on the memristor initial condition and the system parameters. It is shown that the nonlinear dynamics of financial chaotic system can be significantly changed by changing the values of time delays.

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Section: Existence Of Hopf Bifurcation In Financial Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hopf Bifurcation and Dynamic Analysis of an Improved Financial System with Two Delays

et al. 2020

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“…In recent years, the authors in utilized quantum spinning and rotation for image encryption and watermarking. Younas and Khan presented a novel scheme for efficient image encryption based on a Lorenz chaotic system.…”

Section: Introductionmentioning

confidence: 99%

Highly dispersive substitution box (S‐box) design using chaos

et al. 2020

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Highly dispersive S‐boxes are desirable in cryptosystems as nonlinear confusion sub‐layers for resisting modern attacks. For a near optimal cryptosystem resistant to modern cryptanalysis, a highly nonlinear and low differential probability (DP) value is required. We propose a method based on a piecewise linear chaotic map (PWLCM) with optimization conditions. Thus, the linear propagation of information in a cryptosystem appearing as a high DP during differential cryptanalysis of an S‐box is minimized. While mapping from the chaotic trajectory to integer domain, a randomness test is performed that justifies the nonlinear behavior of the highly dispersive and nonlinear chaotic S‐box. The proposed scheme is vetted using well‐established cryptographic performance criteria. The proposed S‐box meets the cryptographic performance criteria and further minimizes the differential propagation justified by the low DP value. The suitability of the proposed S‐box is also tested using an image encryption algorithm. Results show that the proposed S‐box as a confusion component entails a high level of security and improves resistance against all known attacks.

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“…Chaos-based encryption technique is preferred over some other existing methods because of less computational power, fast, and accurate. The future work is also extended to the direction of quantum-based cryptography, chaos quantum-based cryptography, and post-quantum random bit generators [4][5][6][7][8][9][10][11][12].In the last few years, a large number of encryption algorithms schemes were proposed to secure the digital information from eavesdroppers and advertisers such as international data encryption algorithm (IDEA), data encryption standard (DES), and advanced encryption standard (AES) [13][14][15][16][17][18][19][20][21][22]. The foremost importance is given in implementing resolute protection while studying the hybrid properties of confusion and diffusion which was proposed by Claude Shannon as in [23,24].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map

Masood

Ahmad

Shah

et al. 2020

Entropy

108

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Chaos-based encryption schemes have attracted many researchers around the world in the digital image security domain. Digital images can be secured using existing chaotic maps, multiple chaotic maps, and several other hybrid dynamic systems that enhance the non-linearity of digital images. The combined property of confusion and diffusion was introduced by Claude Shannon which can be employed for digital image security. In this paper, we proposed a novel system that is computationally less expensive and provided a higher level of security. The system is based on a shuffling process with fractals key along with three-dimensional Lorenz chaotic map. The shuffling process added the confusion property and the pixels of the standard image is shuffled. Three-dimensional Lorenz chaotic map is used for a diffusion process which distorted all pixels of the image. In the statistical security test, means square error (MSE) evaluated error value was greater than the average value of 10000 for all standard images. The value of peak signal to noise (PSNR) was 7.69(dB) for the test image. Moreover, the calculated correlation coefficient values for each direction of the encrypted images was less than zero with a number of pixel change rate (NPCR) higher than 99%. During the security test, the entropy values were more than 7.9 for each grey channel which is almost equal to the ideal value of 8 for an 8-bit system. Numerous security tests and low computational complexity tests validate the security, robustness, and real-time implementation of the presented scheme.Entropy 2020, 22, 274 2 of 28 scientist Claude Shannon in the year 1949, the same person introduced the property of confusion and diffusion. The property of randomness helped in securing digital multimedia information. The security of digital bitstream became one of the central issues when the data was transformed into a digital bitstream. The privacy of digital information posed a new problem in the digital world. The secure digital data in the form of binary bits are openly accessible for hackers. The data can be easily obtainable from the far site using the internet. It needs proper measurements to secure digital information over an insecure line of communication [1][2][3]. The digital data can be secured by hiding the identity of the original digital image over the secret cover image or another approach is pixels distortion or encryption. The first method of securing digital information is information hiding techniques and the study of steganography, which means the value of the data is preserved under the secret image. The image security is a very important issue as compared to textual security, where image pixels are to be examined concerning nearby pixels in a different orientation. The more pixels are dissimilar means the proposed encryption technique is more suitable for brute force attacks. Moreover, plain image pixels are always correlated to each other where an attacker can easily find secret information. Chaos-based encryption technique is preferred over some ...

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A New Efficient Digital Image Encryption Based on Inverse Left Almost Semi Group and Lorenz Chaotic System

Cited by 95 publications

References 42 publications

Hopf Bifurcation and Dynamic Analysis of an Improved Financial System with Two Delays

Hopf Bifurcation and Dynamic Analysis of an Improved Financial System with Two Delays

Highly dispersive substitution box (S‐box) design using chaos

A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map

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