Journal of Guangxi Normal University(Natural Science Edition) ›› 2021, Vol. 39 ›› Issue (6): 72-86.doi: 10.16088/j.issn.1001-6600.2020121603

Previous Articles     Next Articles

Multi-layer Interactive Color Image Encryption Algorithm Based on Chaotic Map

LI Lanhang1, QIU Senhui1*, WANG Wenyi2*, XIAO Dingwei1, LUO Yuling1   

  1. 1. School of Electronic Engineering, Guangxi Normal University, Guilin Guangxi 541004, China;
    2. Department of Physics and Engineering Technology, Guilin Normal College, Guilin Guangxi 541199, China
  • Received:2020-12-16 Revised:2021-04-22 Online:2021-11-25 Published:2021-12-08

PDF (PC)

98

Abstract: A new color image encryption algorithm based on a coupled chaotic map is presented. Firstly, the initial secret keys are produced by combining the information which is extracted from plain image and external keys. Secondly, the color image is decomposed into three components of R, G, and B, and three one-dimensional sequences are obtained at the same time. The elements in each sequence are grouped and scrambled. Then, three index sequences are constructed by using the pseudo-random sequences generated by the chaotic map, and the three components of R, G, and B are sequentially scrambled by using the index sequences again; the final cipher image is obtained according to xor operation. Experimental results and security analysis prove that the encryption scheme has a good encryption effect as it can resist common cryptanalysis attacks, such as statistical analysis attack, differential attack, cropping attack and noise attack, etc. In addition, compared with other literatures, the results show that the cipher image information entropy obtained by this scheme is closer to the ideal value of 8, the correlation coefficient is closer to 0, and the encryption efficiency is higher than other schemes.

Key words: image encryption, chaotic map, permutation, diffusion, cryptanalysis attack

CLC Number: 

  • TP309.7
[1] WANG X Y, ZHANG H L. A novel image encryption algorithm based on genetic recombination and hyper-chaotic systems[J]. Nonlinear Dynamics, 2016, 83(1/2): 333-346. DOI:10.1007/s11071-015-2330-8.
[2] LUO Y L, TANG S B, QIN X S, et al. A double-image encryption scheme based on amplitude-phase encoding and discrete complex random transformation[J]. IEEE Access, 2018, 6: 77740-77753. DOI:10.1109/ACCESS.2018.2884013.
[3] 王雪光, 李明, 于娜娜, 等. 基于空间角度复用和双随机相位的多图像光学加密方法[J]. 物理学报, 2019, 68(24): 240503. DOI:10.7498/aps.68.20191362.
[4] 曹光辉, 李春强. 联合空域和小波域的图像加密[J]. 计算机应用, 2017, 37(2): 499-504. DOI:10.11772/j.issn.1001-9081.2017.02.0499.
[5] 王丰, 邵珠宏, 王云飞, 等. Gyrator变换域的高鲁棒多图像加密算法[J]. 中国图象图形学报, 2020, 25(7): 1366-1379. DOI:10.11834/jig.190344.
[6] 胡辉辉, 刘建东, 商凯, 等. 基于整数混沌和DNA编码的并行图像加密算法[J]. 计算机工程与设计, 2018, 39(8): 2401-2406. DOI:10.16208/j.issn1000-7024.2018.08.001.
[7] 牛莹, 张勋才. 基于变步长约瑟夫遍历和DNA动态编码的图像加密算法[J]. 电子与信息学报, 2020, 42(6): 1383-1391. DOI:10.11999/JEIT190849.
[8] 杨岿. 基于压缩感知与实时动态置乱的图像加密算法[J]. 计算机工程与设计, 2018, 39(9): 2879-2886. DOI:10.16208/j.issn1000-7024.2018.09.032.
[9] 石航, 王丽丹. 一种基于压缩感知和多维混沌系统的多过程图像加密方案[J]. 物理学报, 2019, 68(20): 200501. DOI:10.7498/aps.68.20190553.
[10] 周戎龙, 罗玉玲, 闭金杰, 等. 图像并行加密算法在手持设备上的应用研究[J]. 广西师范大学学报(自然科学版), 2019, 37(3): 60-70. DOI:10.16088/j.issn.1001-6600.2019.03.007.
[11] 王仁德, 张亚萍, 祝旭锋, 等. 基于光学扫描全息密码术的多图像并行加密[J]. 物理学报, 2019, 68(11): 114202. DOI:10.7498/aps.68.20190162.
[12] WU X J, WANG K S, WANG X Y, et al. Color image DNA encryption using NCA map-based CML and one-time keys[J]. Signal Processing, 2018, 148: 272-287. DOI:10.1016/j.sigpro.2018.02.028.
[13] ZHOU Y C, BAO L, CHEN C L P. A new 1D chaotic system for image encryption[J]. Signal Processing, 2014, 97: 172-182. DOI:10.1016/j.sigpro.2013.10.034.
[14] WANG X Y, GUAN N N, ZHAO H Y, et al. A new image encryption scheme based on coupling map lattices with mixed multi-chaos[J]. Scientific Reports, 2020, 10: 9784. DOI:10.1038/s41598-020-66486-9.
[15] XU L, LI Z, LI J, et al. A novel bit-level image encryption algorithm based on chaotic maps[J]. Optics and Lasers in Engineering, 2016, 78: 17-25. DOI:10.1016/j.optlaseng.2015.09.007.
[16] LIAO X F, LAI S Y, ZHOU Q. A novel image encryption algorithm based on self-adaptive wave transmission[J]. Signal Processing, 2010, 90(9): 2714-2722. DOI:10.1016/j.sigpro.2010.03.022.
[17] 段雪峰, 王瑞. 基于中国剩余定理和Logistic映射的彩色图像加密算法[J]. 桂林电子科技大学学报, 2020, 40(4): 328-332. DOI:10.16725/j.coki.cn45-1351/tn.2020.04.012.
[18] 李静, 向菲, 张军朋. 一种基于混沌的数字图像信息加密方案[J]. 电子设计工程, 2019, 27(12): 84-88. DOI:10.14022/j.cnki.dzsjgc.2019.12.017.
[19] ZHANG Y Q, WANG X Y. A new image encryption algorithm based on non-adjacent coupled map lattices[J]. Applied Soft Computing, 2015, 26: 10-20. DOI:10.1016/j.asoc.2014.09.039.
[20] HUA Z Y, JIN F, XU B X, et al. 2D logistic-sine-coupling map for image encryption[J]. Signal Processing, 2018, 149: 148-161. DOI:10.1016/j.sigpro.2018.03.010.
[21] CHAI X L, GAN Z H, YUAN K, et al. An image encryption scheme based on three-dimensional brownian motion and chaotic system[J]. Chinese Physics B, 2017, 26(2): 020504. DOI:10.1088/1674-1056/26/2/020504.
[22] CHEN L P, YIN H, YUAN L G, et al. A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations[J]. Frontiers of Information Technology and Electronic Engineering, 2020, 21(6): 866-879. DOI:10.1631/FITEE.1900709.
[23] LUO Y L, ZHOU R L, LIU J X, et al. A parallel image encryption algorithm based on the piecewise linear chaotic map and hyper-chaotic map[J]. Nonlinear Dynamics, 2018, 93(3): 1165-1181. DOI:10.1007/s11071-018-4251-9.
[24] CHAI X L, GAN Z H, LU Y, et al. A novel color image encryption algorithm based on genetic recombination and the four-dimensional memristive hyperchaotic system[J]. Chinese Physics B, 2016, 25(10): 100503. DOI:10.1088/1674-1056/25/10/100503.
[25] WANG X Y, QIN X M, LIU C M. Color image encryption algorithm based on customized globally coupled map lattices[J]. Multimedia Tools and Applications, 2019, 78(5): 6191-6209. DOI:10.1007/s11042-018-6326-5.
[26] KANG X J, GUO Z H. A new color image encryption scheme based on DNA encoding and spatiotemporal chaotic system[J]. Signal Processing: Image Communication, 2020, 80: 115670. DOI:10.1016/j.image.2019.115670.
[27] LUO Y L, LIN J, LIU J X, et al. A robust image encryption algorithm based on Chua’s circuit and compressive sensing[J]. Signal Processing, 2019, 161(1): 227-247. DOI:10.1016/j.sigpro.2019.03.022.
[28] OUYANG X, LUO Y L, LIU J X, et al. A color image encryption method based on memristive hyperchaotic system and DNA encryption[J]. International Journal of Modern Physics B, 2020, 34(4): 2050014. DOI:10.1142/S0217979220500149.
[29] HUANG L Q, CAI S T, XIONG X M, et al. On symmetric color image encryption system with permutation-diffusion simultaneous operation[J]. Optics and Lasers in Engineering, 2019, 115: 7-20. DOI:10.1016/j.optlaseng.2018.11.015.
[1] LI Lanhang, QIU Senhui, XIAO Dingwei, LI Liangjia, OUYANG Xue, LUO Yuling. Image Encryption Algorithm Based on DNA Sequence and Dynamic Index Diffusion [J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(3): 40-53.
[2] WEN Xiaomei, DENG Guohe. Valuation on Compound Power Options under Double StochasticVolatility Jump Diffusion Model [J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(2): 101-111.
[3] YAN Sha. Global Existence of Solutions for a Three Species Predator-prey Model with Cross-diffusion [J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(2): 125-131.
[4] ZHANG Jie, LI Xiaojun. Existence of Uniform Random Attractor for NonautonomousStochastic Reaction-diffusion Equations on Unbounded Domains [J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(2): 134-143.
[5] FENG Jinming,LI Zunxian. Stability Analysis of a Class of Epidemic Model with Diffusion [J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(2): 63-68.
[6] WANG Jiaqin, DENG Guohe. Pricing of Interest Rate Derivatives Based on Affine Jump Diffusion Model [J]. Journal of Guangxi Normal University(Natural Science Edition), 2016, 34(3): 74-85.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] HU Jinming, WEI Duqu. Hybrid Projective Synchronization of Fractional-order PMSM with Different Orders[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 1 -8 .
[2] WU Kangkang, ZHOU Peng, LU Ye, JIANG Dan, YAN Jianghong, QIAN Zhengcheng, GONG Chuang. FIR Equalizer Based on Mini-batch Gradient Descent Method[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 9 -20 .
[3] LIU Dong, ZHOU Li, ZHENG Xiaoliang. A Very Short-term Electric Load Forecasting Based on SA-DBN[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 21 -33 .
[4] ZHANG Weibin, WU Jun, YI Jianbing. Research on Feature Fusion Controlled Items Detection Algorithm Based on RFB Network[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 34 -46 .
[5] WANG Jinyan, HU Chun, GAO Jian. An OBDD Construction Method for Knowledge Compilation[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 47 -54 .
[6] LU Miao, HE Dengxu, QU Liangdong. Grey Wolf Optimization Algorithm Based on Elite Learning for Nonlinear Parameters[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 55 -67 .
[7] LI Lili, ZHANG Xingfa, LI Yuan, DENG Chunliang. Daily GARCH Model Estimation Using High Frequency Data[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 68 -78 .
[8] LI Songtao, LI Qunhong, ZHANG Wen. Co-dimension-two Grazing Bifurcation and Chaos Control of Three-degree-of-freedom Vibro-impact Systems[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 79 -92 .
[9] ZHAO Hongtao, LIU Zhiwei. Decompositions of λ-fold Complete Bipartite 3-uniform Hypergraphs λK(3)n,n into Hypergraph Triangular Bipyramid[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 93 -98 .
[10] LI Meng, CAO Qingxian, HU Baoqing. Spatial-temporal Analysis of Continental Coastline Migration from 1960 to 2018 in Guangxi, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(4): 99 -108 .
Copyright © Journal of Guangxi Normal University(Natural Science Edition), All Rights Reserved.
Tel: 0773-5857325　E-mail: gxsdzkb@mailbox.gxnu.edu.cn
Powered by Beijing Magtech Co. Ltd