An Encryption Algorithm Based on Transformed Logistic Map

Xie, Jing; Yang, Chunhua; Xie, Qing; Tian, Lijun

doi:10.1109/nswctc.2009.201

Cited by 15 publications

(8 citation statements)

References 2 publications

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“…The characteristics of system varies in accordance to the value of parameter r , which is also known as bifurcation parameter. System would be more chaotic if value of r would be close to 4 [16,17]. Figure 1a depicts the characteristics of the system according to the value of parameter r .…”

Section: Lm and Ilmmentioning

confidence: 99%

“…LM produces chaotic sequences with good cross-correlation and autocorrelation properties. However, it has demerits such as weak key, stable windows, blank windows and non-uniform sequence distribution [16,17]. Figure 1b depicts the blank window by the use of LM when value of parameter r 3.828.…”

Section: Lm and Ilmmentioning

confidence: 99%

“…Many researchers in their works have proven that chaos-based image cryptosystems are vulnerable to attacks [14,15]. However, it has also been seen in recent researches that use of highly complex and more dynamic chaos maps helps in solving problems like periodic windows, blank and stable windows [16,17].…”

Section: Introductionmentioning

confidence: 99%

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An ILM-cosine transform-based improved approach to image encryption

Dua

Suthar

Garg

et al. 2020

Complex Intell. Syst.

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The chaos-based cryptography techniques are used widely to protect digital information from intruders. The chaotic systems have some of special features that make them suitable for the purpose of encryption. These systems are highly unpredictable and are highly sensitive or responsive to the initial conditions, also known as butterfly effect. This sensitive dependence on initial conditions make these systems to exhibit an intricate dynamical behaviour. However, this dynamical behaviour is not much complex in simple one-dimensional chaotic maps. Hence, it becomes easy for an intruder to predict the contents of the message being sent. The proposed work in this paper introduces an improved method for encrypting images, which uses cosine transformation of 3-D Intertwining Logistic Map (ILM). The proposed approach has been split into three major parts. In the first part, Secure Hash Function-256 (SHA-256) is used with cosine transformed ILM (CT-ILM) to generate the chaotic sequence. This chaotic sequence is used by high-efficiency scrambling to reduce the correlations between the adjacent pixels of the image. In the second part, the image is rotated to move all the pixels away from their original position. In the third part, random order substitution is applied to change the value of image pixels. The effectiveness of the proposed method has been tested on a number of standard parameters such as correlation coefficient, Entropy and Unified average change in intensity. The proposed approach has also been tested for decryption parameters like mean square error and peak signal to noise ratio. It can easily be observed from the obtained results that the proposed method of image encryption is more secure and time efficient than some earlier proposed techniques. The approach works for both color and grey scale images.

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Section: Lm and Ilmmentioning

confidence: 99%

Section: Lm and Ilmmentioning

confidence: 99%

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An ILM-cosine transform-based improved approach to image encryption

Dua

Suthar

Garg

et al. 2020

Complex Intell. Syst.

View full text Add to dashboard Cite

show abstract

“…Their secure transmission plays a vital role in personal and military privacy. In recent years, many chaotic image encryption algorithms have been proposed [1][2][3][4][5][6][7][8][9][10] due to the excellent properties of chaotic maps, such as initial value sensitivity and intrinsic randomness.…”

Section: Introductionmentioning

confidence: 99%

“…Obtain x 2 (1), x 2 (2), n 2 , u 2 from the secret key and and calculate the initial value as well as iteration time of chaotic map by adjusting them with the pixel value of image I according to Equation (7).…”

mentioning

confidence: 99%

Image Encryption Algorithm Based on Tent Delay-Sine Cascade with Logistic Map

Zhang

Ding

2020

Symmetry

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We propose a new chaotic map combined with delay and cascade, called tent delay-sine cascade with logistic map (TDSCL). Compared with the original one-dimensional simple map, the proposed map has increased initial value sensitivity and internal randomness and a larger chaotic parameter interval. The chaotic sequence generated by TDSCL has pseudo-randomness and is suitable for image encryption. Based on this chaotic map, we propose an image encryption algorithm with a symmetric structure, which can achieve confusion and diffusion at the same time. Simulation results show that after encryption using the proposed algorithm, the entropy of the cipher is extremely close to the ideal value of eight, and the correlation coefficients between the pixels are lower than 0.01, thus the algorithm can resist statistical attacks. Moreover, the number of pixel change rate (NPCR) and the unified average changing intensity (UACI) of the proposed algorithm are very close to the ideal value, which indicates that it can efficiently resist chosen-plain text attack.

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