Improving security of a chaotic encryption approach

Li, Shujun; Mou, Xuanqin; Cai, Yuanlong

doi:10.1016/s0375-9601(01)00612-0

Cited by 114 publications

(66 citation statements)

References 10 publications

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“…1D PWLCM have been widely used to construct digital chaotic ciphers [Alvarez et al, 1999;García & Jiménez, 2002;Habutsu et al, 1990Habutsu et al, , 1991Jessa, 2000Jessa, , 2002Li et al, 2001bLi et al, ,c, 2002Masuda & Aihara, 2001, 2002aPapadimitriou et al, 2001;Protopopescu et al, 1995;Sang et al, 1998a,b;Yi et al, 2002;Zhou, 1996;Zhou & Ling, 1997a,c;Zhou et al, ,b, 1998Zhou & Feng, 2000]. The theoretical results about the proposed dynamical indicators P 1 ∼ P n of digital 1D PWLCM will be very useful for the design and performance analyses of such chaotic ciphers.…”

Section: Applications In Chaotic Cryptographymentioning

confidence: 99%

On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps

Chen

Mou

2005

Int. J. Bifurcation Chaos

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366

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When chaotic systems are realized with finite precisions in digital computers, their dynamical properties are often found to be entirely different from the original versions in the continuous setting. In the literature, there does not seem to be much work on quantitative analysis of such degradation of digitized chaos and how to reduce its negative influence on chaos-based digital systems. Focusing on 1D piecewise linear chaotic maps (PWLCM), this paper reports some findings on a new series of dynamical indicators, which can quantitatively reflect the degradation effects on a digital PWLCM realized with a fixed-point finite precision. On top of that, the paper introduces a new method for studying digital chaos from an algorithmic point of view. In addition, the theoretical results obtained in this paper should be very helpful for the consideration of reducing negative influence of dynamical degradation in real design of various digital chaotic systems. As typical examples, the proposed dynamical indicators are applied to the performance comparison of different remedies for improving dynamical degradation, cryptanalysis of digital chaotic ciphers based on 1D PWLCM, and the design of chaotic pseudo-random number generators with desired characteristics.

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Section: Applications In Chaotic Cryptographymentioning

confidence: 99%

On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps

Chen

Mou

2005

Int. J. Bifurcation Chaos

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366

189

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“…The UACI measures the average intensity of differences between the two images and is defined as (25) where ' ' is the number of bits per pixel of the plain image. …”

Section: Differential Analysismentioning

confidence: 99%

“…It provides a good combination of speed, high security, complexity, reasonable computational overheads and computational power. After Matthews proposed the chaotic encryption algorithm in 1989 [22], increasing researches of image encryption technology are based on chaotic systems [23]- [25]. Chaotic systems have many important properties, such as the sensitive dependence on initial conditions and system parameters, pseudorandom property, non-periodicity and topological transitivity, etc.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Watermarking Scheme for Copyright Protection using Chaotic Maps Cryptography

Mohamed¹,

Aboutaleb²,

Abdelfattah³

et al. 2015

IJCA

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Nowadays, there is an explosive growth in the digital multimedia creation, capturing, processing and distribution. Protecting the multimedia contents from copyright infringement has become a major concern. Encryption and watermarking are two complementary techniques that are used for protecting the multimedia data. In this paper, a proposed hybrid encryption-watermarking algorithm for copyright protection is proposed. The watermarking phase of this proposed algorithm is based on combining the discrete wavelet transform (DWT), the discrete cosine transform (DCT), and the singular value decomposition (SVD), while the encryption phase is based on using four chaotic maps with different dimensions. The proposed watermarking scheme uses a new PN-codes embedding strategy of the watermark into the cover image. This strategy allows decreasing the embedding strength factor of the scheme to a value that maximizes imperceptibility performance while maintaining acceptable robustness of the watermarking scheme. The performance of the proposed watermarking scheme is evaluated individually based on the robustness and the imperceptibility measures. This scheme is compared with some recent existing algorithms and experimental results show the improvements of the proposed algorithm over these algorithms. On the other hand, the proposed chaos-based encryption algorithm used four chaotic maps of different dimensions and it has two diffusion stages rather than one to improve the algorithm efficiency. The proposed encryption algorithm is tested using different experiments. The experimental results demonstrate that the proposed encryption algorithm shows advantages of large key space, high resistance against differential attacks and high security analysis such as statistical analysis, and sensitivity analysis. Compared to some traditional and recent encryption algorithms, the proposed encryption algorithm is much more secure. Finally experimental tests demonstrate that the proposed hybrid encryption-watermarking algorithm introduces high degree of efficiency, robustness, and security. General TermsHybrid Image watermarking schemes, Chaotic maps based cryptography, Statistical attacks, and Differential attacks.

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“…for any value of r in [3,4] and any value of x 0 in [0, 1]. Furthermore, the function GON(G N (f (0.5, r), r)) is an increasing function with respect to r (see Fig.…”

Section: Estimation Of the Control Parametermentioning

confidence: 99%