Correlation properties of sequences generated by a simple first order scalar time-delay chaotic system

Mannai, Olfa; Jemaa, Zouhair Ben; Belghith, Safya

doi:10.1109/wscar.2014.6916822

Cited by 2 publications

(4 citation statements)

References 9 publications

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“…From the results obtained in [18] and Fig. 8, we find a linear increase in the dimension, while the Kolmogorov-Sinai entropy remains roughly constant.…”

Section: Metric Entropymentioning

confidence: 57%

“…As described in [18] in numerical simulations, we divide the delay interval T into N subintervals h, T = N × h where h = 0.01. These N samples can equivalently be thought of as the N variables of an N -dimensional discrete mapping as follows:…”

Section: Discretizing the Delay Equationmentioning

confidence: 99%

“…12c. [18,20] represents, respectively, the control parameters of Ikeda and N 1 is the length of first block. The key sensitivity analysis shows that a slight variation of the key (10 −14 ) leads to a total difference of encrypted images.…”

Section: Key Sensitivity Analysismentioning

confidence: 99%

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A new image encryption scheme based on a simple first-order time-delay system with appropriate nonlinearity

et al. 2015

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Nonlinear delay differential system (NDDS) is a family of hyperchaotic systems, which has attracted much attention in the last years, especially in optics. The NDDS is often modeled by a time delay that occurs between the signals at the input and the output, and a nonlinearity introduced by a function F. This paper introduces the Ikeda system that is considered system of infinite dimension and proposed an image encryption scheme by dynamic block. The encryption algorithm divides the image on dynamic blocks depending on the previous block cipher. The algorithm diffuses the plain image with bitwise XOR between each block and sequence generated by Ikeda system after quantification. Statistical analysis of the proposed encryption scheme demonstrates that this cryptosystem is secure enough to resist the bruteforce attack, entropy attack, differential attack, chosenplaintext attack, known-plaintext attack and statistical attack. In addition, the cryptosystem has high sensitivity of key and large space key.

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“…From the results obtained in [18] and Fig. 8, we find a linear increase in the dimension, while the Kolmogorov-Sinai entropy remains roughly constant.…”

Section: Metric Entropymentioning

confidence: 57%

Section: Discretizing the Delay Equationmentioning

confidence: 99%

See 1 more Smart Citation

A new image encryption scheme based on a simple first-order time-delay system with appropriate nonlinearity

et al. 2015

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show abstract

“…As described in [30] in numerical simulations, we divide the delay interval T into N subintervals h, T = N × h where h = 0.01. These N samples can equivalently be thought of as the N variables of an N-dimensional discrete mapping as follows: In this way a continuous infinite dimensional dynamical system is approximated by a finite dimensional iterated map.…”

Section: Discretizing the Delay Equationmentioning

confidence: 99%

Chaotic watermark for blind forgery detection in images

Benrhouma

Hermassi

El‐Latif

et al. 2015

Multimed Tools Appl

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In this paper, a new chaos based watermarking scheme for effective tamper detection in images is proposed. The proposed scheme is able to detect any possible forgery and spot the areas which have been tampered. To improve the efficiency of the proposed scheme, a binary watermark is constructed from the image itself, which makes the watermark unique for every image and guarantee the blindness in the detection process. To guarantee the security of the proposed scheme, chaotic maps are used to complicate the embedding and the detection process to reduce the vulnerability to different attacks. Experimental results and security analysis show that the proposed scheme achieves superior tamper detection under common attacks.

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Correlation properties of sequences generated by a simple first order scalar time-delay chaotic system

Cited by 2 publications

References 9 publications

A new image encryption scheme based on a simple first-order time-delay system with appropriate nonlinearity

A new image encryption scheme based on a simple first-order time-delay system with appropriate nonlinearity

Chaotic watermark for blind forgery detection in images

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