A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map
Chaos-based encryption schemes have attracted many researchers around the world in the digital image security domain. Digital images can be secured using existing chaotic maps, multiple chaotic maps, and several other hybrid dynamic systems that enhance the non-linearity of digital images. The combi...
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doaj-f84e4d1ead8048158cf99562c92d8e6d2020-11-25T01:55:18ZengMDPI AGEntropy1099-43002020-02-0122327410.3390/e22030274e22030274A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic MapFawad Masood0Jawad Ahmad1Syed Aziz Shah2Sajjad Shaukat Jamal3Iqtadar Hussain4Department of Electrical Engineering, Institute of Space Technology, Islamabad Highway 1, Islamabad 44000, PakistanSchool of Computing, Edinburgh Napier University, Edinburgh EH10 5DT, UKSchool of Computing and Mathematics, Manchester Metropolitan University, Manchester M15 6BH, UKDepartment of Mathematics, College of Science, King Khalid University, Abha, Saudi ArabiaDepartment of Mathematics, Statistics, Physics, Qatar University, Doha 2713, QatarChaos-based encryption schemes have attracted many researchers around the world in the digital image security domain. Digital images can be secured using existing chaotic maps, multiple chaotic maps, and several other hybrid dynamic systems that enhance the non-linearity of digital images. The combined property of confusion and diffusion was introduced by Claude Shannon which can be employed for digital image security. In this paper, we proposed a novel system that is computationally less expensive and provided a higher level of security. The system is based on a shuffling process with fractals key along with three-dimensional Lorenz chaotic map. The shuffling process added the confusion property and the pixels of the standard image is shuffled. Three-dimensional Lorenz chaotic map is used for a diffusion process which distorted all pixels of the image. In the statistical security test, means square error (MSE) evaluated error value was greater than the average value of 10000 for all standard images. The value of peak signal to noise (PSNR) was 7.69(dB) for the test image. Moreover, the calculated correlation coefficient values for each direction of the encrypted images was less than zero with a number of pixel change rate (NPCR) higher than 99%. During the security test, the entropy values were more than 7.9 for each grey channel which is almost equal to the ideal value of 8 for an 8-bit system. Numerous security tests and low computational complexity tests validate the security, robustness, and real-time implementation of the presented scheme.https://www.mdpi.com/1099-4300/22/3/274chaotic mapsconfusiondiffusionfractalslorenz chaotic mapsshufflingnon-linearityhybrid dynamical system |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Fawad Masood Jawad Ahmad Syed Aziz Shah Sajjad Shaukat Jamal Iqtadar Hussain |
spellingShingle |
Fawad Masood Jawad Ahmad Syed Aziz Shah Sajjad Shaukat Jamal Iqtadar Hussain A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map Entropy chaotic maps confusion diffusion fractals lorenz chaotic maps shuffling non-linearity hybrid dynamical system |
author_facet |
Fawad Masood Jawad Ahmad Syed Aziz Shah Sajjad Shaukat Jamal Iqtadar Hussain |
author_sort |
Fawad Masood |
title |
A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map |
title_short |
A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map |
title_full |
A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map |
title_fullStr |
A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map |
title_full_unstemmed |
A Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map |
title_sort |
novel hybrid secure image encryption based on julia set of fractals and 3d lorenz chaotic map |
publisher |
MDPI AG |
series |
Entropy |
issn |
1099-4300 |
publishDate |
2020-02-01 |
description |
Chaos-based encryption schemes have attracted many researchers around the world in the digital image security domain. Digital images can be secured using existing chaotic maps, multiple chaotic maps, and several other hybrid dynamic systems that enhance the non-linearity of digital images. The combined property of confusion and diffusion was introduced by Claude Shannon which can be employed for digital image security. In this paper, we proposed a novel system that is computationally less expensive and provided a higher level of security. The system is based on a shuffling process with fractals key along with three-dimensional Lorenz chaotic map. The shuffling process added the confusion property and the pixels of the standard image is shuffled. Three-dimensional Lorenz chaotic map is used for a diffusion process which distorted all pixels of the image. In the statistical security test, means square error (MSE) evaluated error value was greater than the average value of 10000 for all standard images. The value of peak signal to noise (PSNR) was 7.69(dB) for the test image. Moreover, the calculated correlation coefficient values for each direction of the encrypted images was less than zero with a number of pixel change rate (NPCR) higher than 99%. During the security test, the entropy values were more than 7.9 for each grey channel which is almost equal to the ideal value of 8 for an 8-bit system. Numerous security tests and low computational complexity tests validate the security, robustness, and real-time implementation of the presented scheme. |
topic |
chaotic maps confusion diffusion fractals lorenz chaotic maps shuffling non-linearity hybrid dynamical system |
url |
https://www.mdpi.com/1099-4300/22/3/274 |
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