A Novel Image Encryption Algorithm Based on Exponent-cosine Chaotic Mapping

LIU Sicong; LI Chunbiao; LI Yongxing

doi:10.11999/JEIT210270

Volume 44 Issue 5

May 2022

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Article Navigation > Journal of Electronics & Information Technology > 2022 > 44(5): 1754-1762

LIU Sicong, LI Chunbiao, LI Yongxing. A Novel Image Encryption Algorithm Based on Exponent-cosine Chaotic Mapping[J]. Journal of Electronics & Information Technology, 2022, 44(5): 1754-1762. doi: 10.11999/JEIT210270

Citation:

LIU Sicong, LI Chunbiao, LI Yongxing. A Novel Image Encryption Algorithm Based on Exponent-cosine Chaotic Mapping[J]. Journal of Electronics & Information Technology, 2022, 44(5): 1754-1762. doi: 10.11999/JEIT210270

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A Novel Image Encryption Algorithm Based on Exponent-cosine Chaotic Mapping

doi: 10.11999/JEIT210270

LIU Sicong^{1, 2},
LI Chunbiao^{3
,
,},
LI Yongxing³

1.
School of Life Science, University of Electronic Science and Technology of China, Chengdu 610054, China
2.
School of Artificial Intelligence and Engineering, Jiangsu Vocational Institute of Commerce, Nanjing 210045, China
3.
School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China

Received Date: 2021-04-02
Accepted Date: 2021-11-25
Rev Recd Date: 2021-11-17

Available Online: 2021-11-26

Publish Date: 2022-05-25

Abstract

Abstract

In order to enhance the security of image data transmission, a novel two-dimensional exponent - cosine chaotic map is proposed. In this system, a new chaotic map is constructed by introducing exponent and high-power nonlinear terms into one dimensional cosine chaotic system. The nonlinear term is introduced to perturb the iterative process of one-dimensional cosine chaotic system to obtain fuller chaotic phase orbits. Lyapunov exponential spectrum and system bifurcation diagram are used to verify the features of chaotic system. Based on the chaotic map, a novel image encryption algorithm is proposed. The encrypted data has good encryption security by following a “scrambling-diffusion-scrambling” strategy. Security analysis of encrypted image data also shows that the two-dimensional exponential - cosine chaotic map has strong robustness and encryption security.
- Image encryption,
- Two-dimensional chaotic map,
- Algorithm robustness,
- Encryption security checking

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References(15)

References

[1]	MATTHEWS R. On the derivation of a “Chaotic” encryption algorithm[J]. Cryptologia, 1989, 13(1): 29–42. doi: 10.1080/0161-118991863745
[2]	STOYANOV B and KORDOV K. Image encryption using Chebyshev map and rotation equation[J]. Entropy, 2015, 17(4): 2117–2139. doi: 10.3390/e17042117
[3]	HUANG Xiaoling. Image encryption algorithm using chaotic chebyshev generator[J]. Nonlinear Dynamics, 2012, 67(4): 2411–2417. doi: 10.1007/s11071-011-0155-7
[4]	MURILLO-ESCOBAR M A, CRUZ-HERNÁNDEZ C, ABUNDIZ-PÉREZ F, et al. A RGB image encryption algorithm based on total plain image characteristics and chaos[J]. Signal Processing, 2015, 109: 119–131. doi: 10.1016/j.sigpro.2014.10.033
[5]	吕群, 薛伟. 结合混沌系统和动态S-盒的图像加密算法[J]. 小型微型计算机系统, 2018, 39(3): 607–613. doi: 10.3969/j.issn.1000-1220.2018.03.038 LV Qun and XUE Wei. Image encryption algorithm combining chaotic system and dynamic S-boxes[J]. Journal of Chinese Computer Systems, 2018, 39(3): 607–613. doi: 10.3969/j.issn.1000-1220.2018.03.038
[6]	HUA Zhongyun and ZHOU Yicong. One-dimensional nonlinear model for producing chaos[J]. IEEE Transactions on Circuits and Systems I:Regular Papers, 2018, 65(1): 235–246. doi: 10.1109/TCSI.2017.2717943
[7]	ZHOU Yicong, BAO Long, and CHEN C L P. Image encryption using a new parametric switching chaotic system[J]. Signal Processing, 2013, 93(11): 3039–3052. doi: 10.1016/j.sigpro.2013.04.021
[8]	LIU Yang, TONG Xiaojun, and HU Shicheng. A family of new complex number chaotic maps based image encryption algorithm[J]. Signal Processing:Image Communication, 2013, 28(10): 1548–1559. doi: 10.1016/j.image.2013.07.009
[9]	HUA Zhongyun and ZHOU Yicong. Image encryption using 2D logistic-adjusted-sine map[J]. Information Sciences, 2016, 339: 237–253. doi: 10.1016/j.ins.2016.01.017
[10]	GAN Zhihua, CHAI Xiuli, HAN Daojun, et al. A chaotic image encryption algorithm based on 3-D bit-plane permutation[J]. Neural Computing and Applications, 2019, 31(11): 7111–7130. doi: 10.1007/s00521-018-3541-y
[11]	YIN Qi and WANG Chunhua. A new chaotic image encryption scheme using breadth-first search and dynamic diffusion[J]. International Journal of Bifurcation and Chaos, 2018, 28(4): 1850047. doi: 10.1142/S0218127418500475
[12]	LUO Yuqin, YU Jin, LAI Wenrui, et al. A novel chaotic image encryption algorithm based on improved baker map and logistic map[J]. Multimedia Tools and Applications, 2019, 78(15): 22023–22043. doi: 10.1007/s11042-019-7453-3
[13]	KHAN M and MASOOD F. A novel chaotic image encryption technique based on multiple discrete dynamical maps[J]. Multimedia Tools and Applications, 2019, 78(18): 26203–26222. doi: 10.1007/s11042-019-07818-4
[14]	YE Guodong, PAN Chen, HUANG Xiaoling, et al. An efficient pixel-level chaotic image encryption algorithm[J]. Nonlinear Dynamics, 2018, 94(1): 745–756. doi: 10.1007/s11071-018-4391-y
[15]	LIU Lidong, LEI Yuhang, and WANG Dan. A fast chaotic image encryption scheme with simultaneous permutation-diffusion operation[J]. IEEE Access, 2020, 8: 27361–27374. doi: 10.1109/ACCESS.2020.2971759