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Image encryption algorithm by using the logistic map and discrete fractional angular transform

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A new image encryption scheme based on logistic map and discrete fractional angular transform has been proposed. In the proposed scheme, the original image is encrypted with the random sequence generated by the logistic map, and the encrypted image is subsequently processed by the discrete fractional angular transform, which produces the ciphertext after double encryptions. The parameters of the logistic map and the order of the discrete fractional angular transform serve as the main keys of the image encryption algorithm. Simulation results show that the proposed image encryption algorithm can effectively resist the attacks of statistical analysis, and has acceptable encryption effect and security.
Czasopismo
Rocznik
Strony
141--155
Opis fizyczny
Bibliogr. 30 poz., rys., tab.
Twórcy
autor
  • Department of Computer Science and Technology, Nanchang University, Nanchang 330031, China
autor
  • Department of Electrical Engineering and Automation, Nanchang University, Nanchang 330031, China
autor
  • Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China
autor
  • Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China
  • Shanghai Key Laboratory of Integrate Administration Technologies for Information Security, Shanghai Jiao Tong University, Shanghai 200240, China
autor
  • Shanghai Key Laboratory of Integrate Administration Technologies for Information Security, Shanghai Jiao Tong University, Shanghai 200240, China
Bibliografia
  • [1] PAREEK N.K., PATIDAR V., SUD K.K., Image encryption using chaotic logistic map, Image and Vision Computing 24(9), 2006, pp. 926–934.
  • [2] ZHI-HONG GUAN, FANGJUN HUANG, WENJIE GUAN, Chaos-based image encryption algorithm, Physics Letters A 346(1–3), 2005, pp. 153–157.
  • [3] XINGYUAN WANG, SHENGXIAN GU, YINGQIAN ZHANG, Novel image encryption algorithm based on cycle shift and chaotic system, Optics and Lasers in Engineering 68, 2015, pp. 126–134.
  • [4] GUODONG YE, KWOK-WO WONG, An efficient image encryption algorithm based on a generalized Arnold map, Nonlinear Dynamics 69(4), 2012, pp. 2079–2087.
  • [5] YIFAN LIU, XIAOHONG WU, YANMEI YU, DAISHENG LUO, Image encryption based on Arnold cat map and ECC, Journal of Sichuan University 49(4), 2012, pp. 834–838.
  • [6] XINGYUAN WANG, LINTAO LIU, YINGQIAN ZHANG, A novel chaotic block image encryption algorithm based on dynamic random growth technique, Optics and Lasers in Engineering 66, 2015, pp. 10–18.
  • [7] GUODONG YE, Chaotic image encryption algorithm using multi-generalized logistic maps, Journal of Computational and Theoretical Nanoscience 10(11), 2013, pp. 2789–2795.
  • [8] AKHSHANI A., AKHAVAN A., LIM S.-C., HASSAN Z., An image encryption scheme based on quantum logistic map, Communications in Nonlinear Science and Numerical Simulation 17(12), 2012, pp. 4653–4661.
  • [9] HONGJUN LIU, XINGYUAN WANG, Color image encryption based on one-time keys and robust chaotic maps, Computers and Mathematics with Applications 59(10), 2010, pp. 3320–3327.
  • [10] HUIJUAN LI, Image encryption based on gyrator transform and two-step phase-shifting interferometry, Optics and Lasers in Engineering 47(1), 2009, pp. 45–50.
  • [11] XINGYUAN WANG, DAPENG LUAN, A novel image encryption algorithm using chaos and reversible cellular automata, Communications in Nonlinear Science and Numerical Simulation 18(11), 2013, pp. 3075–3085.
  • [12] TALARPOSHTI K.M., JAMEI M.K., A secure image encryption method based on dynamic harmony search (DHS) combined with chaotic map, Optics and Lasers in Engineering 81, 2016, pp. 21–34.
  • [13] ENAYATIFAR R., ABDULLAH A.H., ISNIN I.F., Chaos-based image encryption using a hybrid genetic algorithm and a DNA sequence, Optics and Lasers in Engineering 56, 2014, pp. 83–93.
  • [14] LU XU, ZHI LI, JIAN LI, WEI HUA, A novel bit-level image encryption algorithm based on chaotic maps, Optics and Lasers in Engineering 78, 2016, pp. 17–25.
  • [15] XUAN LI, GUOJI ZHANG, XIAYAN ZHANG, Image encryption algorithm with compound chaotic maps, Journal of Ambient Intelligence and Humanized Computing 6(5), 2015, pp. 563–570.
  • [16] QIWEN RAN, LIN YUAN, TIEYU ZHAO, Image encryption based on nonseparable fractional Fourier transform and chaotic map, Optics Communications 348, 2015, pp. 43–49.
  • [17] YANBIN LI, FENG ZHANG, YUANCHAO LI, RAN TAO, Asymmetric multiple-image encryption based on the cascaded fractional Fourier transform, Optics and Lasers in Engineering 72, 2015, pp. 18–25.
  • [18] HONGJUN LIU, KADIR A., YANGLING LI, Asymmetric color pathological image encryption scheme based on complex hyper chaotic system, Optik – International Journal for Light and Electron Optics 127(15), 2016, pp. 5812–5819.
  • [19] XINGBIN LIU, WENBO MEI, HUIQIAN DU, Optical image encryption based on compressive sensing and chaos in the fractional Fourier domain, Journal of Modern Optics 61(19), 2014, pp. 1570–1577.
  • [20] LIMA J.B., NOVAES L.F.G., Image encryption based on the fractional Fourier transform over finite fields, Signal Processing 94, 2014, pp. 521–530.
  • [21] NANRUN ZHOU, XINGBIN LIU, YE ZHANG, YIXIAN YANG, Image encryption scheme based on fractional Mellin transform and phase retrieval technique in fractional Fourier domain, Optics and Laser Technology 47, 2013, pp. 341–346.
  • [22] NANRUN ZHOU, HAOLIN LI, DI WANG, SHUMIN PAN, ZHIHONG ZHOU, Image compression and encryption scheme based on 2D compressive sensing and fractional Mellin transform, Optics Communications 343, 2015, pp. 10–21.
  • [23] ZHENGJUN LIU, LIE XU, CHUANG LIN, JINGMIN DAI, SHUTIAN LIU, Image encryption scheme by using iterative random phase encoding in gyrator transform domains, Optics and Lasers in Engineering 49(4), 2011, pp. 542–546.
  • [24] LIANSHENG SUI, BENQING LIU, QIANG WANG, YE LI, JUNLI LIANG, Color image encryption by using Yang-Gu mixture amplitude-phase retrieval algorithm in gyrator transform domain and two-dimensional Sine logistic modulation map, Optics and Lasers in Engineering 75, 2015, pp. 17–26.
  • [25] NANRUN ZHOU, TIANXIANG HUA, LIHUA GONG, DONGJU PEI, QINGHONG LIAO, Quantum image encryption based on generalized Arnold transform and double random-phase encoding, Quantum Information Processing 14(4), 2015, pp. 1193–1213.
  • [26] ZHENGJUN LIU, AHMAD M.A., SHUTIAN LIU, A discrete fractional angular transform, Optics Communications 281(6), 2008, pp. 1424–1429.
  • [27] JUN LANG, RAN TAO, YUE WANG, Image encryption based on the multiple-parameter discrete fractional Fourier transform and chaos function, Optics Communications 283(10), 2010, pp. 2092–2096.
  • [28] LIANSHENG SUI, KUAIKUAI DUAN, JUNLI LIANG, XINHONG HEI, Asymmetric double-image encryption based on cascaded discrete fractional random transform and logistic maps, Optics Express 22(9), 2014, pp. 10605–10621.
  • [29] ZHENGJUN LIU, MIN GONG, YONGKANG DOU, FENG LIU, SHEN LIN, AHMAD M.A., JINGMIN DAI, SHUTIAN LIU, Double image encryption by using Arnold transform and discrete fractional angular transform, Optics and Lasers in Engineering 50(2), 2012, pp. 248–255.
  • [30] LIANSHENG SUI, KUAIKUAI DUAN, JUNLI LIANG, Double-image encryption based on discrete multiple-parameter fractional angular transform and two-coupled logistic maps, Optics Communications 343, 2015, pp. 140–149.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-cd2f007a-3507-4744-951b-d37a505a4747
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