HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz system

The work presented here is a high dimensional color image encryption architecture (HDIEA) founded on the Lorenz-Gauss-Logistic (LGL) encryption algorithm. The primary objective is to demonstrate that both the proposed novel five-dimensional (5D) Gauss-Logistic and four-dimensional (4D) Lorenz system...

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Main Authors: Bharti Ahuja, Rajesh Doriya, Sharad Salunke, Mohammad Farukh Hashmi, Aditya Gupta, Neeraj Dhanraj Bokde
Format: Article
Language:English
Published: Taylor & Francis Group 2023-12-01
Series:Connection Science
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Online Access:http://dx.doi.org/10.1080/09540091.2023.2175792
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author Bharti Ahuja
Rajesh Doriya
Sharad Salunke
Mohammad Farukh Hashmi
Aditya Gupta
Neeraj Dhanraj Bokde
author_facet Bharti Ahuja
Rajesh Doriya
Sharad Salunke
Mohammad Farukh Hashmi
Aditya Gupta
Neeraj Dhanraj Bokde
author_sort Bharti Ahuja
collection DOAJ
description The work presented here is a high dimensional color image encryption architecture (HDIEA) founded on the Lorenz-Gauss-Logistic (LGL) encryption algorithm. The primary objective is to demonstrate that both the proposed novel five-dimensional (5D) Gauss-Logistic and four-dimensional (4D) Lorenz system are operating in a hyper-chaotic condition. The visual study of their most important characteristics, such as the sensitivity of the starting value of both maps and the Lyapunov exponent of the 5D Gauss Logistic map, is carried out. The Runge–Kutta technique is used to discretise the Lorenz system in order to construct a pseudo-random sequence generation for the control parameter that has a greater degree of randomness. The 5D Gauss-Logistic system is then selected to serve as the principal hyper-chaotic mapping scheme. The simulation results demonstrate that the suggested image encryption method is successful according to the NIST test and has powerful anti-attack, a larger key space as large as 2847, which is prone to multiple attacks, and key sensitivity capabilities. Also, the pixel correlation reached −0.0019, −0.0016, and −0.0069, while the information entropy was at 7.9996. This demonstrates the excellent scrambling effect of the proposed approach, which is capable of greatly improving the color image security performance.
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spelling doaj-art-de308bdf042d47708c9c253d59d9d0c82025-08-20T02:21:21ZengTaylor & Francis GroupConnection Science0954-00911360-04942023-12-0135110.1080/09540091.2023.21757922175792HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz systemBharti Ahuja0Rajesh Doriya1Sharad Salunke2Mohammad Farukh Hashmi3Aditya Gupta4Neeraj Dhanraj Bokde5National Institute of Technology RaipurNational Institute of Technology RaipurAmity University Madhya PradeshNIT WarangalUniversity of AgderAarhus UniversityThe work presented here is a high dimensional color image encryption architecture (HDIEA) founded on the Lorenz-Gauss-Logistic (LGL) encryption algorithm. The primary objective is to demonstrate that both the proposed novel five-dimensional (5D) Gauss-Logistic and four-dimensional (4D) Lorenz system are operating in a hyper-chaotic condition. The visual study of their most important characteristics, such as the sensitivity of the starting value of both maps and the Lyapunov exponent of the 5D Gauss Logistic map, is carried out. The Runge–Kutta technique is used to discretise the Lorenz system in order to construct a pseudo-random sequence generation for the control parameter that has a greater degree of randomness. The 5D Gauss-Logistic system is then selected to serve as the principal hyper-chaotic mapping scheme. The simulation results demonstrate that the suggested image encryption method is successful according to the NIST test and has powerful anti-attack, a larger key space as large as 2847, which is prone to multiple attacks, and key sensitivity capabilities. Also, the pixel correlation reached −0.0019, −0.0016, and −0.0069, while the information entropy was at 7.9996. This demonstrates the excellent scrambling effect of the proposed approach, which is capable of greatly improving the color image security performance.http://dx.doi.org/10.1080/09540091.2023.2175792image encryptiongauss maplogistic maplorenz systemhyperchaotic maplyapunov exponent
spellingShingle Bharti Ahuja
Rajesh Doriya
Sharad Salunke
Mohammad Farukh Hashmi
Aditya Gupta
Neeraj Dhanraj Bokde
HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz system
Connection Science
image encryption
gauss map
logistic map
lorenz system
hyperchaotic map
lyapunov exponent
title HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz system
title_full HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz system
title_fullStr HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz system
title_full_unstemmed HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz system
title_short HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz system
title_sort hdiea high dimensional color image encryption architecture using five dimensional gauss logistic and lorenz system
topic image encryption
gauss map
logistic map
lorenz system
hyperchaotic map
lyapunov exponent
url http://dx.doi.org/10.1080/09540091.2023.2175792
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