Image Encryption Based on Development of Hénon Chaotic Maps using Fractional Fourier Transform

2014 ◽  
Vol 5 (3) ◽  
pp. 62-77 ◽  
Author(s):  
Mona F. M. Mursi ◽  
Hossam Eldin H. Ahmed ◽  
Fathi E. Abd El-Samie ◽  
Ayman H. Abd El-Aziem
Keyword(s):  
Fourier Transform ◽  
Image Encryption ◽  
Chaotic Maps ◽  
Fractional Fourier Transform ◽  
Chaotic Map ◽  
Security Analysis ◽  
Experimental Tests ◽  
It Use ◽  
Arnold Cat Map ◽  
And Diffusion

In this paper, the authors propose an image encryption scheme based on the development of a Hénon chaotic map using fractional Fourier transform (FRFT) which is introduced to satisfy the necessity of high secure image. This proposed algorithm combines the main advantages of confusion and diffusion with (FRFT), it use Arnold Cat map for confusion and Hénon chaotic map or one of the proposed Hénon chaotic maps for diffusion. The proposed algorithm is compared with some image encryption algorithms based on Arnold Cat map, Baker chaotic map, Hénon chaotic map and RC6. The authors perform a comparison between them in several experimental tests as statistical analyses, processing time and security analysis. The authors find from these comparison tests that the proposed algorithm demonstrates good result even better than RC6 and other chaotic maps in some cases.

scholarly journals Image Encryption Algorithm Based on DNA Encoding and Chaotic Maps

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Jian Zhang ◽  
DongXin Fang ◽  
Honge Ren
Keyword(s):  
Image Encryption ◽  
Dna Sequences ◽  
Random Number ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Security Analysis ◽  
Encryption Algorithm ◽  
Dna Encoding ◽  
Before And After ◽  
Image Encryption Algorithm

We propose a new image encryption algorithm based on DNA sequences combined with chaotic maps. This algorithm has two innovations: (1) it diffuses the pixels by transforming the nucleotides into corresponding base pairs a random number of times and (2) it confuses the pixels by a chaotic index based on a chaotic map. For any size of the original grayscale image, the rows and columns are fist exchanged by the arrays generated by a logistic chaotic map. Secondly, each pixel that has been confused is encoded into four nucleotides according to the DNA coding. Thirdly, each nucleotide is transformed into the corresponding base pair a random number of time(s) by a series of iterative computations based on Chebyshev’s chaotic map. Experimental results indicate that the key account of this algorithm is 1.536 × 10127, the correlation coefficient of a 256 × 256 Lena image between, before, and after the encryption processes was 0.0028, and the information entropy of the encrypted image was 7.9854. These simulation results and security analysis show that the proposed algorithm not only has good encryption effect, but also has the ability to repel exhaustive, statistical, differential, and noise attacks.

scholarly journals FPGA Hardware Co-Simulation of Image Encryption using Hybrid Chaotic Maps Based Stream Cipher

2020 ◽  
Vol 9 (4) ◽  
pp. 215-225
Keyword(s):  
Image Encryption ◽  
Stream Cipher ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Security Analysis ◽  
Differential Attack ◽  
Finite Precision ◽  
System Generator ◽  
Encryption Algorithms ◽  
Brute Force Attack

In This paper, new model of image encryption is designed. This model using stream cipher based on finite precision chaotic maps. The model designed in efficient way by using Xilinx System Generator (XSG). Pseudo Random Bit Generator (PRBG) depends on chaotic maps is proposed to design Fixed Point Hybrid Chaotic Map-PRBG (FPHYBCM-PRBG). National Institute of Standards and Technology (NIST) randomness measures tested the randomness of the proposed FPHYBCM-PRBG system. The security analysis, such as histogram, correlation coefficient, information entropy, differential attack (NPCR and UACI) are used to analyze the proposed system. Also, FPGA Hardware Co-Simulation over Xilinx SP605 XC6SLX45T provided to test the reality of image encryption system. The results show that FPHYBCM-PRBG is suitable for image encryption based on stream cipher and outperform some encryption algorithms in sufficient way to enhance the security and robust against brute force attack with low maximum frequency and throughput.

Double-image encryption using chaotic maps and nonlinear non-DC joint fractional Fourier transform correlator

2016 ◽  
Vol 55 (9) ◽  
pp. 093109 ◽  
Author(s):  
Hongjie Zhao ◽  
Zhi Zhong ◽  
Weiwei Fang ◽  
Hong Xie ◽  
Yabin Zhang ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Image Encryption ◽  
Chaotic Maps ◽  
Fractional Fourier Transform ◽  
Double Image

A New Image Encryption Scheme Using Dual Chaotic Map Synchronization

2020 ◽  
Vol 18 (1) ◽  
Keyword(s):  
Image Encryption ◽  
Chaotic Systems ◽  
Initial Conditions ◽  
Chaotic Map ◽  
Security Applications ◽  
The Common ◽  
And Diffusion ◽  
Confusion And Diffusion ◽  
Sensitivity To Initial Conditions ◽  
Diffusion Properties

Chaotic systems behavior attracts many researchers in the field of image encryption. The major advantage of using chaos as the basis for developing a crypto-system is due to its sensitivity to initial conditions and parameter tunning as well as the random-like behavior which resembles the main ingredients of a good cipher namely the confusion and diffusion properties. In this article, we present a new scheme based on the synchronization of dual chaotic systems namely Lorenz and Chen chaotic systems and prove that those chaotic maps can be completely synchronized with other under suitable conditions and specific parameters that make a new addition to the chaotic based encryption systems. This addition provides a master-slave configuration that is utilized to construct the proposed dual synchronized chaos-based cipher scheme. The common security analyses are performed to validate the effectiveness of the proposed scheme. Based on all experiments and analyses, we can conclude that this scheme is secure, efficient, robust, reliable, and can be directly applied successfully for many practical security applications in insecure network channels such as the Internet

scholarly journals Security Analysis and Improvement of an Image Encryption Cryptosystem Based on Bit Plane Extraction and Multi Chaos

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 505
Author(s):  
Shuqin Zhu ◽  
Congxu Zhu
Keyword(s):  
Image Encryption ◽  
Random Sequence ◽  
Security Analysis ◽  
Encryption Algorithm ◽  
Original Algorithm ◽  
Plane Extraction ◽  
Bit Plane ◽  
Bit Planes ◽  
And Diffusion ◽  
Improved Algorithm

This paper analyzes the security of image encryption systems based on bit plane extraction and multi chaos. It includes a bit-level permutation for high, 4-bit planes and bit-wise XOR diffusion, and finds that the key streams in the permutation and diffusion phases are independent of the plaintext image. Therefore, the equivalent diffusion key and the equivalent permutation key can be recovered by the chosen-plaintext attack method, in which only two special plaintext images and their corresponding cipher images are used. The effectiveness and feasibility of the proposed attack algorithm is verified by a MATLAB 2015b simulation. In the experiment, all the key streams in the original algorithm are cracked through two special plaintext images and their corresponding ciphertext images. In addition, an improved algorithm is proposed. In the improved algorithm, the generation of a random sequence is related to ciphertext, which makes the encryption algorithm have the encryption effect of a “one time pad”. The encryption effect of the improved algorithm is better than that of the original encryption algorithm in the aspects of information entropy, ciphertext correlation analysis and ciphertext sensitivity analysis.

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