A new hyperchaotic map and its application for image encryption

作     者：Natiq, Hayder Al-Saidi, N. M. G. Said, M. R. M. Kilicman, Adem 

作者机构：Univ Putra Malaysia Inst Math Res Serdang Malaysia Univ Putra Malaysia Malaysia Italy Ctr Excellence Math Sci Serdang Malaysia Univ Putra Malaysia Dept Math Serdang Malaysia Univ Technol Baghdad Appl Sci Dept Branch Appl Math Baghdad Iraq 

出 版 物：《EUROPEAN PHYSICAL JOURNAL PLUS》 (欧洲物理学杂志)

年 卷 期：2018年第133卷第1期

页      面：6页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

主　　题：diffusion Henon mapping Complexity control parameter Ciphertext Image differential attack algorithm simulation Security Confusion cryptography maps 

摘      要：Based on the one-dimensional Sine map and the two-dimensional Henon map, a new two-dimensional Sine-Henon alteration model (2D-SHAM) is hereby proposed. Basic dynamic characteristics of 2D-SHAM are studied through the following aspects: equilibria, Jacobin eigenvalues, trajectory, bifurcation diagram, Lyapunov exponents and sensitivity dependence test. The complexity of 2D-SHAM is investigated using Sample Entropy algorithm. Simulation results show that 2D-SHAM is overall hyperchaotic with the high complexity, and high sensitivity to its initial values and control parameters. To investigate its performance in terms of security, a new 2D-SHAM-based image encryption algorithm (SHAM-IEA) is also proposed. In this algorithm, the essential requirements of confusion and diffusion are accomplished, and the stochastic 2D-SHAM is used to enhance the security of encrypted image. The stochastic 2D-SHAM generates random values, hence SHAM-IEA can produce different encrypted images even with the same secret key. Experimental results and security analysis show that SHAM-IEA has strong capability to withstand statistical analysis, differential attack, chosen-plaintext and chosen-ciphertext attacks.