2D Sine Logistic modulation map for image encryption

Hua, Zhongyun; Zhou, Yicong; Pun, Chi‐Man; Chen, C. L. Philip

doi:10.1016/j.ins.2014.11.018

Cited by 681 publications

(360 citation statements)

References 33 publications

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“…A trajectory map is shown to ensure that the used 2D Sine-Tent composite function has excellent chaotic behavior. A Figure 2 compares the trajectories of 2D-STCM, 2D-SLMM [10] and 2D Logistic map [41] defined in the given functions respectively. 2D-SLMM Function:…”

Section: Trajectorymentioning

confidence: 99%

“…The other group of chaotic maps contains a high-dimensional chaotic map with a rather complex structure and a better chaotic performance such as Arnold map, Henon Map, Lorenz system etc. Many authors suggested various combinations of 1D-chaotic maps (Logistic map, Tent map, Sine map) to achieve an improved performance of the proposed cryptosystem [9][10][11]. Although high-dimensional chaotic map based cryptosystem might be vulnerable to the security attacks [12,13].…”

Section: Introductionmentioning

confidence: 99%

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Secure Image Transmission Using Fractal and 2D-Chaotic Map

Agarwal¹

2018

J. Imaging

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A chaos-based cryptosystem has been suggested and investigated since last decade because of its sensitivity to the initial condition, unpredictability and ergodicity properties. The paper introduces a new chaotic map which helps to enhance the security of image transmission by blending the superior fractal function with a new 2D-Sine Tent composite map (2D-STCM) to generate a key stream. A trajectory map of a proposed 2D-STCM show a wider chaotic range implies better unpredictability and ergodicity feature, suitable to design a cryptosystem. A fractal based image encryption increases the key space of the security key up-to hundreds of bits, thus secure the proposed cryptosystem from brute-force attack. The requirement of confusion and diffusion are fulfilled by applying chaotic circular pixel shuffling (CCPS) to change the pixel position repeatedly and the execution of an improved XOR operation i.e., complex XOR, designed to increase the encryption quality. The proposed cryptosystem has been analyzed using statistical analysis, key sensitivity, differential analysis and key space analysis. The experimental result proves that the new scheme has a high security level to protect the image transmission over the network.

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Section: Trajectorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Secure Image Transmission Using Fractal and 2D-Chaotic Map

Agarwal¹

2018

J. Imaging

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“…To overcome the limitations of 1D chaotic systems, the Logistic-Sine system (LSS) and a new 2D Logistic-adjusted-Sine map (2D-LASM) are introduced in [17,18]. The LSS and 2D-LASM have proved to be more suitable for image encryption compared with the Logistic system and the Sine system for their excellent chaotic performance.…”

Section: Chaotic Mapsmentioning

confidence: 99%

Double color images encryption based on DNA sequences and block permutation

Wang¹,

Wu²,

Liu³

2017

Proceedings of the 2017 2nd International Conference on Machinery, Electronics and Control Simulation (MECS 2017)

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Abstract:In this paper, we propose a double color images encryption scheme based on Deoxyribonucleic Acid (DNA) sequence, chaotic system and block permutation. Mean Square Error (MSE) of the double images, LSS and 2D-LASM chaotic systems are firstly employed to generate the key streams. Then, divide the plain-images into equal blocks and scramble the blocks using the key streams. Next, encode the permuted images into the DNA matrices according to the DNA encoding rules and a DNA XOR operation is carried out on the DNA matrices. Finally, decode the encrypted the DNA matrices via the DNA decoding rules, and a pixel-level diffusion is further adopted to strengthen the security and sensitivity of the cryptosystem, and the resulting cipher-images are obtained. The experimental results show that the presented encryption algorithm has the advantages of large key space and high security, and fast encryption/decryption speed. IntroductionWith the rapid development of information and network technologies, a great many of digital multimedia data are transmitted over the public networks. It is necessary to protect the image information against the unauthorized access, usage, disruption and destruction. In the past years, many encryption methods have been proposed, such as DES, IDEA and RSA etc. However, these traditional encryption schemes are unsuitable for the digital images, because some inherent features of the images such as bulk data capacity, and strong correlation among pixels and high computation complexity [1,2].Considering the desirable properties of extreme sensitivity to initial conditions and parameters, the close relationship between chaos and cryptography has been revealed [3]. The simple lowdimensional (LD) chaotic systems can be realized conveniently in engineering due to their simple structure, but they also have some drawbacks such as limited/discontinuous chaotic range, the nonuniform data distribution, and the vulnerability to low-computation-cost analysis using iteration and correlation functions [4]. In contrast to the LD chaotic systems, the high-dimensional (HD) chaotic systems have complex structures and chaotic behaviors. Unfortunately, the complex structure and multiple parameters of the HD chaotic systems increase the cost of hardware/software implementations and the computation complexity [5]. Hence, considering the trade-offs between the security and speed, it is essential to design the image encryption algorithms based on the LD chaotic systems/maps with excellent performance.Since the pioneering work of Adleman [6], DNA computing has gained growing attention from many researchers in various fields such as biology, chemistry, mathematics, computer science etc. Recently, DNA-based image encryption has aroused great interest [7][8][9][10][11][12][13][14][15]. For example, Liu et al. [7] proposed a color image encryption algorithm based on DNA encoding and the Logistic map. But this cryptosystem is very weak to a chosen-plaintext attack [8]. An image fusion encryption scheme based on DNA sequen...

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“…Since 2D-SLMM offers a wider chaotic range and better ergodicity and hyperchaotic properties than existing chaotic maps [28], it has been chosen to design the scrambling method and generate the RPMs in this study. 2D-SLMM is defined as [28] …”

Section: D Sine Logistic Modulation Mapmentioning

confidence: 99%

Asymmetric Multiple-Image Encryption Based on Octonion Fresnel Transform and Sine Logistic Modulation Map

2016

Journal of the Optical Society of Korea

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A novel asymmetric multiple-image encryption method using an octonion Fresnel transform (OFST) and a two-dimensional Sine Logistic modulation map (2D-SLMM) is presented. First, a new multiple-image information processing tool termed the octonion Fresneltransform is proposed, and then an efficient method to calculate the OFST of an octonion matrix is developed. Subsequently this tool is applied to process multiple plaintext images, which are represented by octonion algebra, holistically in a vector manner. The complex amplitude, formed from the components of the OFST-transformed original images and modulated by a random phase mask (RPM), is used to derive the ciphertext image by employing an amplitude-and phase-truncation approach in the Fresnel domain. To avoid sending whole RPMs to the receiver side for decryption, a random phase mask generation method based on SLMM, in which only the initial parameters of the chaotic function are needed to generate the RPMs, is designed. To enhance security, the ciphertext and two decryption keys produced in the encryption procedure are permuted by the proposed SLMM-based scrambling method. Numerical simulations have been carried out to demonstrate the proposed scheme's validity, high security, and high resistance to various attacks.

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2D Sine Logistic modulation map for image encryption

Cited by 681 publications

References 33 publications

Secure Image Transmission Using Fractal and 2D-Chaotic Map

Secure Image Transmission Using Fractal and 2D-Chaotic Map

Double color images encryption based on DNA sequences and block permutation

Asymmetric Multiple-Image Encryption Based on Octonion Fresnel Transform and Sine Logistic Modulation Map

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