A Novel Cryptosystem Using Dynamics Perturbation of Logistic Map
Main Article Content
Abstract
In this paper, a novel cryptosystem is proposed using the method of dynamics perturbation to the Logistic map. The perturbation is carried out by changing the value of its control parameter in bit level after every iteration during encryption and decryption. Consequently, the dynamics of Logistic map becomes non-stationary, and it helps to resist the statistical attacks. Moreover, the key space is expanded significantly. The bit distribution balancing is proposed to have better statistical properties of ciphertext. The example will show the effectiveness of the proposed cryptosystem and the simulation results are compared with those in other works published recently.
Keywords
chaotic cryptosystem, Logistic map
Article Details
References
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[2] L. Kocarev, Chaos-based cryptography: a brief overview, IEEE Circuits and Systems Magazine 1 (2001) 6-21.
[3] G. Alvarez, S. Li, Some basic cryptographic requirements for chaos-based cryptosystems, International Journal of Bifurcation and Chaos 16 (2006) 2129-2151.
[4] S.E. Assad, M. Farajallah, A new chaos-based image encryption system, Signal Processing: Image Communication 41 (2016), 144-157.
[5] L. Liu, S. Miao, A new image encryption algorithm based on logistic chaotic map with varying parameter, SpringerPlus 5 (2016) 289.
[6] W. Zhang, K.-W. Wong, H. Yu, Z-L. Zhu, A symmetric color image encryption algorithm using the intrinsic features of bit distributions, Communications in Nonlinear Science and Numerical Simulation 18 (2013) 584-600.
[7] J. Chen, Z. Zhu, C. Fu, L. Zhang, Y. Zhang, An image encryption scheme using nonlinear inter-pixel computing and swapping based permutation approach, Communications in Nonlinear Science and Numerical Simulation 23 (2015) 294-310.
[8] S. Lian, J. Sun, Z. Wang, Security Analysis of A Chaos-based Image Encryption Algorithm, Physica A. 351 (2005) 645-661.
[9] P. Ping, J. Fan, Y. Mao, F. Xu, J. Gao, A chaos based image encryption scheme using digit-level permutation and block diffusion, IEEE Access. 6 (2018) 67581-67593.
[10] Erdem Yavuz, A novel chaotic image encryption algorithm based on content-sensitive dynamic function switching scheme, Optics & Laser Technology 114 (2019), 224-239.
[11] Y. Li, C. Wang, and H. Chen, A hyper-chaos-based image encryption algorithm using pixel-level permutation and bit-level permutation, Optics and Lasers in Engineering 90 (2017), 238-246.
[12] X. Wang and H. Li Zhang, A color image encryption algorithm with heterogeneous bit permutation and correlated chaos, Optics Communications 342 (2015), 51-60.