Abstract

Nonlinear dynamics is a fascinating area that is intensely affecting a wide range of different disciplines of science and technology globally. The combination of different innovative topics of information security and high-speed computing has added new visions into the behavior of complex nonlinear dynamical systems which uncovered amazing results even in the least difficult nonlinear models. The generation of complex actions from a very simple dynamical method has a strong relation with information security. The protection of digital content is one of the inescapable concerns of the digitally advanced world. Today, information plays an important role in everyday life and affects the surroundings rapidly. These digital contents consist of text, images, audio, and videos, respectively. Due to the vast usage of digital images in the number of social and web applications, its security is one of the biggest issues. In this work, we have offered an innovative image encryption technique based on present criteria of confusion and diffusion. The designed scheme comprises two major nonlinear dynamical systems. We have employed discrete fractional chaotic iterative maps to add confusion capability in our suggested algorithm and continuous chaotic Lorenz system. We have verified our offered scheme by using statistical analysis. The investigations under the statistical tests suggested that our proposed technique is quite reasonable for the security of digital data.

Highlights

  • Nowadays, society is full of the sphere of information in a different form of the digital medium.The advancement in different private and public sectors demands new and innovative results towards handling big data with low-cost technologies

  • The security of information and online data streams gradually increase to fifth-generation technologies and the same happened in the area of information security where one cannot remain away from cybersecurity attacks

  • The image quality assessment based on pixel modification measures are done by calculating maximum difference (MD), mean square error (MSE), the average difference (AD), peak signal to noise ratio (PSNR), normalized correlation (NCC), normalized absolute error (NAE) and structure content value (SC)

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Summary

Introduction

Society is full of the sphere of information in a different form of the digital medium. The notion of diffusion and confusion in 1949 proposed by Claude Shannon added new directions in information security. Different new block ciphers were designed which used confusion and diffusion. The addition of diffusion and confusion in a block cipher added a robust security layer against different cryptographic attacks. The idea of confusion is to make the relations between encrypted data and secret key as difficult as possible which can be achieved through substitution, whereas diffusion is used to scatter the statistical construction of original information over the greater part of encrypted information [3]. Several image encryption schemes utilized chaotic dynamical systems for the confidentiality of digital contents [12–16]. The principal idea of constructing nonlinear components through chaotic dynamical systems is to add strong confusion capability which is surely one of the vital components in modern block ciphers. The conclusion is shown in the last section

Logistic Map
Mathematical Formulation of Atmospheric Convection Model
Proposed S-Box Using Fractional Chaotic Map
NIST Analysis
Histogram Analysis
Correlation Analysis
Information Entropy
Distance Based Measurements
Mean Squared Error and Peak Signal to Noise Ratio Analysis
Similarities Measures
Plaintext Sensitivity Analysis
Z1 Test for Randomness (0–1 Test)
6.10 Comparative Analysis with Standard Results
6.11 Time Complexity Analysis
Conclusion and Future Recommendations
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