Hybrid image encryption based on digital pre-encryption and optical single random phase encoding

• Autorzy: Bekkouche Tewfik , Diffellah Nacira , Ziet Lahcene

Identyfikatory

DOI

10.37190/oa190403

• Języki publikacji: EN

Abstrakty

EN

In this paper, the optical image encryption scheme based on the double random phase encoding system is modified by introducing a nonlinear digital image pre-encryption coupled with a real to complex conversion. It consists in performing the bit-wise XOR operation recursively between successive pixels of an input image together with chaotic scrambling in the spatial domain. The resulting real-valued pre-encrypted image is halved into two equal parts, one being considered as the real part and the other one as an imaginary part. The complex image thus constructed by concatenating the two previous parts, passes into the second stage of the double random phase encoding where it will be multiplied by a random phase mask and then transformed into a frequency domain by the two-dimensional Fourier transform or any of its derivatives to obtain the encrypted image.The advantage of halving is to save the same information and reduce the size of encrypted imageto store or transmit a single complex image instead of double as in all existing based double random phase encoding methods. Results of computer simulations prove the effectiveness of the proposed method toward different attacks and confirm its security when compared to existing works, especially in terms of key sensitivity and histogram analysis.

Słowa kluczowe

EN

nonlinear pre-encryption; halving; double random phase encryption

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2019
• Tom: Vol. 49, nr 4
• Strony: 559--569
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Bekkouche Tewfik

• ETA Laboratory, Department of Electronics, Faculty of Technology, University Bordj Bouarreridj, Bordj Bouarreridj 34000, Algeria

autor

Diffellah Nacira

• ETA Laboratory, Department of Electronics, Faculty of Technology, University Bordj Bouarreridj, Bordj Bouarreridj 34000, Algeria

autor

Ziet Lahcene

• LEPCI Laboratory, Department of Electronics, Faculty of Technology, University of Setif 1, Setif 19000, Algeria

Bibliografia

• [1] REFREGIER P., JAVIDI B., Optical image encryption based on input plane and Fourier plane random encoding, Optics Letters 20(7), 1995, pp. 767–769, DOI:10.1364/OL.20.000767.
• [2] BOUGUEZEL S., AHMAD M.O., SWAMY M.N.S., Image encryption using the reciprocal-orthogonal parametric transform, [In] Proceedings of 2010 IEEE International Symposium on Circuits and Systems,2010, pp. 2542–2545, DOI:10.1109/ISCAS.2010.5537110.
• [3] AZOUG S., BOUGUEZEL S., Double image encryption based on the reciprocal-orthogonal parametric transform and chaotic map, [In] 2013 8th International Workshop on Systems, Signal Processing and their Applications (WoSSPA), 2013, pp. 156–161, DOI:10.1109/WoSSPA.2013.6602354.
• [4] BOUGUEZEL S., AHMAD M.O., SWAMY M.N.S., A new involutory parametric transform and its application to image encryption, [In] 2013 IEEE International Symposium on Circuits and Systems(ISCAS), 2013, pp. 2605–2608, DOI:10.1109/ISCAS.2013.6572412.
• [5] LIU S., SHERIDAN J.T., Optical encryption by combining image scrambling techniques in fractional Fourier domains, Optics Communications 287, 2013, pp. 73–80, DOI:10.1016/j.optcom.2012.09.033.
• [6] SINHA A., SINGH K., Image encryption by using fractional Fourier transform and jigsaw transform in image bit planes, Optical Engineering 44(5), 2005, article ID 057001, DOI:10.1117/1.1906240.
• [7] HENNELLY B., SHERIDAN J.T., Optical image encryption by random shifting in fractional Fourier domains, Optics Letters 28(4), 2003, pp. 269–271, DOI:10.1364/OL.28.000269.
• [8] SUI L., LU H., WANG Z., SUN Q., Double-image encryption using discrete fractional random transform and logistic maps, Optics and Lasers in Engineering 56, 2014, pp. 1–12, DOI:10.1016/j.optlaseng.2013.12.001.
• [9] PEI S.-C., HSUE W.-L., The multiple-parameter discrete fractional Fourier transform, IEEE Signal Processing Letters 13(6), 2006, pp. 329–332, DOI:10.1109/LSP.2006.871721.
• [10] LANG J., TAO R., WANG Y., Image encryption based on the multiple-parameter discrete fractional Fourier transform and chaos function, Optics Communications 283(10), 2010, pp. 2092–2096, DOI:10.1016/j.optcom.2010.01.060.
• [11] AZOUG S.E., BOUGUEZEL S., A non-linear preprocessing for opto-digital image encryption using multiple-parameter discrete fractional Fourier transform, Optics Communications 359, 2016, pp. 85–94, DOI:10.1016/j.optcom.2015.09.054.
• [12] BEKKOUCHE T., BOUGUEZEL S., A recursive non-linear pre-encryption for opto-digital double random phase encoding, Optik 158, 2018, pp. 940–950, DOI:10.1016/j.ijleo.2017.12.142.
• [13] RODRIGO J.A., ALIEVA T., CALVO M.L., Applications of gyrator transform for image processing, Optics Communications 278(2), 2007, pp. 279–284, DOI:10.1016/j.optcom.2007.06.023.
• [14] SITU G., ZHANG J., Double random-phase encoding in the Fresnel domain, Optics Letters 29(14),2004, pp. 1584–1586, DOI:10.1364/OL.29.001584.
• [15] BEKKOUCHE T., BOUGUEZEL S., Digital double random amplitude image encryption method based on the symmetry property of the parametric discrete Fourier transform, Journal of Electronic Imaging27(2), 2018, article ID 023033, DOI:10.1117/1.JEI.27.2.023033.
• [16] YU J., LI Y., XIE X., ZHOU N., ZHOU Z., Image encryption algorithm by using logistic map and discrete fractional angular transform, Optica Applicata 47(1), 2017, pp. 141–155, DOI:10.5277/oa170113.
• [17] HUANG H., YANG S., Colour image encryption based on logistic mapping and double random-phase encoding, IET Image Processing 11(4), 2017, pp. 211–216, DOI:10.1049/iet-ipr.2016.0552.
• [18] PENG X., ZHANG P., WEI H., YU B., Known-plaintext attack on optical encryption based on double random phase keys, Optics Letters 31(8), 2006, pp. 1044–1046, DOI:10.1364/OL.31.001044.
• [19] QIN W., PENG X., Vulnerability to known-plaintext attack of optical encryption schemes based on two fractional Fourier transform order keys and double random phase keys, Journal of Optics A: Pureand Applied Optics 11(7), 2009, article ID 075402, DOI:10.1088/1464-4258/11/7/075402.
• [20] ZHANG Y., XIAO D., WEN W., LIU H., Vulnerability to chosen-plaintext attack of a general optical encryption model with the architecture of scrambling-then-double random phase encoding, Optics Letters 38(21), 2013, pp. 4506–4509, DOI:10.1364/OL.38.004506.
• [21] TSANG P.W.M., Single-random-phase holographic encryption of images, Optics and Lasers in Engineering 89, 2017, pp. 22–28, DOI:10.1016/j.optlaseng.2016.01.017.
• [22] YANG J., GAO J., SUN B., An improvement approach of logistic chaotic series encryption, Automatic Technology Application 23(4), 2004, pp. 58–61.
• [23] JOLFAEI A., WU X.-W., MUTHUKKUMARASAMY V., On the security of permutation-only image encryption schemes, IEEE Transactions on Information Forensics and Security 11(2), 2016, pp. 235–246, DOI:10.1109/TIFS.2015.2489178.
• [24] ZHOU N., JIANG H., GONG L., XIE X., Double-image compression and encryption algorithm basedon co-sparse representation and random pixel exchanging, Optics and Lasers in Engineering 110,2018, pp. 72–79, DOI:10.1016/j.optlaseng.2018.05.014.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).