scholarly journals A image encryption algorithm based on chaotic Lorenz system and novel primitive polynomial S-boxes

Author(s):  
Temadher Alassiry Al-Maadeed ◽  
Iqtadar Hussain ◽  
Amir Anees ◽  
Muhammad Tahir Mustafa

AbstractWe have proposed a robust, secure and efficient image encryption algorithm based on chaotic maps and algebraic structure. Nowadays, the chaotic cryptosystems gained more attention due to their efficiency, the assurance of robustness and high sensitivity corresponding to initial conditions. In literature, there are many encryption algorithms that can simply guarantees security while the schemes based on chaotic systems only promises the uncertainty, both of them can not encounter the needs of current scenario. To tackle this issue, this article proposed an image encryption algorithm based on Lorenz chaotic system and primitive irreducible polynomial substitution box. First, we have proposed 16 different S-boxes based on projective general linear group and 16 primitive irreducible polynomials of Galois field of order 256, and then utilized these S-boxes with combination of chaotic map in image encryption scheme. Three chaotic sequences can be produced by the disturbed of Lorenz chaotic system corresponding to variables x, y and z. We have constructed a new pseudo random chaotic sequence ki based on x, y and z. The plain image is encrypted by the use of chaotic sequence ki and XOR operation to get a ciphered image. To show the strength of presented image encryption, some renowned analyses are performed.

2021 ◽  
Author(s):  
Hegui Zhu ◽  
Jiangxia Ge ◽  
Wentao Qi ◽  
Xiangde Zhang ◽  
Xiaoxiong Lu

Abstract Owning to complex properties of ergodicity, non-periodic ability and sensitivity to initial states, chaotic systems are widely used in cryptography. In this paper, we propose a sinusoidal--polynomial composite chaotic system (SPCCS), and prove that it satisfies Devaney's definition of chaos: the sensitivity to initial conditions, topological transitivity and density of periodic points. The experimental results show that the SPCCS has better unpredictability and more complex chaotic behavior than the classical chaotic maps. Furthermore, we provide a new image encryption algorithm combining pixel segmentation operation, block chaotic matrix confusing operation, and pixel diffusion operation with the SPCCS. Detailed simulation results verify effectiveness of the proposed image encryption algorithm.


2014 ◽  
Vol 556-562 ◽  
pp. 5168-5171 ◽  
Author(s):  
Yan Xu

The author proposes a novel DCT domain image encryption algorithm based on Lorenz chaotic system. The paper firstly subdivides digital image into sub-images, each of which is transformed with DCT transform. Then some DCT transform coefficients are selected with filtering. Finally the retained DCT transform coefficients are cross encrypted with three chaotic sequences which Lorenz chaotic system generates. Simulation experiments and secure performance analysis show that the algorithm has a good encryption effect and anti-attack abilities.


2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Dongyao Zou ◽  
Ming Li ◽  
Jun Li ◽  
Zhigang Li

Aiming at the problem of a small parameter value range when a one-dimensional chaotic system presents a chaotic state, this paper proposes a new type of hybrid power exponential chaotic system (HPECS). HPECS combines the classic one-dimensional Sine chaotic system to form a new chaotic system (HPECS-SS). Experiments show that the obtained new chaotic system has better chaotic performance, a more extensive parameter value range, and higher sensitivity. Simultaneously, on the basis of HPECS-SS, a new image encryption algorithm is proposed. The algorithm uses the key generated by the SHA-512 algorithm and HPECS-SS to iteratively output the chaotic sequence, SFY algorithm combines the chaotic sequence to perform two rounds of scrambling on the plaintext sequence to obtain the scrambling sequence, and finally, through the modulus operation to diffuse the scrambling sequence to form the encryption matrix of the plaintext image, simulation experiment analysis shows that the algorithm has a large key space, good encryption effect, and security; the pixel change rate (NPCR) and the normalized average change intensity (UACI) are close to ideal values which can resist various cryptanalysis and attacks.


2020 ◽  
Vol 2020 ◽  
pp. 1-12 ◽  
Author(s):  
Shenyong Xiao ◽  
ZhiJun Yu ◽  
YaShuang Deng

Chaos has been widely used in image encryption due to its rich properties. However, it remains an irreconcilable contradiction for security and implementation efficiency for image encryption schemes. In this paper, a novel chaos-based image encryption scheme has been proposed, where the Lorenz chaotic system is applied to generate pseudorandom sequences with good randomness, and a random switch control mechanism is introduced to ensure the security of the encryption scheme. Experimental results demonstrate the effectiveness and superiority of the algorithm.


2013 ◽  
Vol 694-697 ◽  
pp. 2016-2020
Author(s):  
Shu Cong Liu ◽  
Yan Xing Song ◽  
Jing Song Yang

A new image encryption algorithm based on chaotic sequence is proposed, and the over sampled techniques is used in the Chebyshev mapping and Logistic chaotic mapping to generate multi-parameter chaotic key.A chaotic image encryption transmission system is build to achieve the encryption and decryption of the image signal,and the security and the encryption properties of the algorithm are analyzed. Simulation results show that the method ia simple and easy to achieve, and with larger key space ang good encryption effect.


2014 ◽  
Vol 989-994 ◽  
pp. 3561-3566
Author(s):  
Guo Sheng Gu ◽  
Jie Ling ◽  
Guo Bo Xie ◽  
Yu Yi Ou

This paper designs an image encryption algorithm with a dynamical feedback operation based on sensitive chaotic system. In the proposed algorithm, the piece wise linear chaotic map is selected to construct pseudo-random keystream sequences. The pseudorandom keystream sequences are used to permute and substitute the plain image data. To enhance the complexity and security of the algorithm, each pixel is dynamically confused by its two previous adjacent encrypted pixels which are specified by a quantized binary tuple derived from a chaotic element. Both theoretical analysis and experimental tests show that the proposed algorithm is secure and efficient.


2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Xuncai Zhang ◽  
Feng Han ◽  
Ying Niu

With the help of the fact that chaos is sensitive to initial conditions and pseudorandomness, combined with the spatial configurations in the DNA molecule’s inherent and unique information processing ability, a novel image encryption algorithm based on bit permutation and dynamic DNA encoding is proposed here. The algorithm first uses Keccak to calculate the hash value for a given DNA sequence as the initial value of a chaotic map; second, it uses a chaotic sequence to scramble the image pixel locations, and the butterfly network is used to implement the bit permutation. Then, the image is coded into a DNA matrix dynamic, and an algebraic operation is performed with the DNA sequence to realize the substitution of the pixels, which further improves the security of the encryption. Finally, the confusion and diffusion properties of the algorithm are further enhanced by the operation of the DNA sequence and the ciphertext feedback. The results of the experiment and security analysis show that the algorithm not only has a large key space and strong sensitivity to the key but can also effectively resist attack operations such as statistical analysis and exhaustive analysis.


2021 ◽  
Vol 11 (23) ◽  
pp. 11206
Author(s):  
Shenli Zhu ◽  
Xiaoheng Deng ◽  
Wendong Zhang ◽  
Congxu Zhu

In the edge computing and network communication environment, important image data need to be transmitted and stored securely. Under the condition of limited computing resources, it is particularly necessary to design effective and fast image encryption algorithms. One-dimensional (1D) chaotic maps provide an effective solution for real-time image encryption, but most 1D chaotic maps have only one parameter and a narrow chaotic interval, which has the disadvantage of security. In this paper, a new compound 1D chaotic map composed of a logistic map and tent map is proposed. The new system has two system parameters and an arbitrarily large chaotic parameter interval, and its chaotic signal is evenly distributed in the whole value space so it can improve the security in the application of information encryption. Furthermore, based on the new chaotic system, a fast image encryption algorithm is proposed. The algorithm takes the image row (column) as the cyclic encryption unit, and the time overhead is greatly reduced compared with the algorithm taking the pixel as the encryption unit. In addition, the mechanism of intermediate key associated with image content is introduced to improve the ability of the algorithm to resist chosen-plaintext attack and differential attack. Experiments show that the proposed image encryption algorithm has obvious speed advantages and good cryptographic performance, showing its excellent application potential in secure network communication.


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