Asymmetric double-image encryption using twin decomposition in fractional Hartley domain

• Autorzy: Kumar Jaideep , Singh Phool , Yadav Ak

Identyfikatory

DOI

10.37190/oa220102

• Języki publikacji: EN

Abstrakty

EN

Twin decomposition, consisting of equal and random modulus decompositions, not only makes a cryptosystem asymmetric but also resists special attack. A new double-image asymmetric crypto-system using twin decomposition in fractional Hartley domain is proposed. An input grayscale image, bonded with another grayscale image as its phase mask, is transformed via fractional Hartley transform. Equal modulus decomposition is applied on the resulting image, giving us two intermediate images. One of them is subjected to another fractional Hartley transform followed by random modulus decomposition, whereas the other serves as the first private key. The application of random modulus decomposition also results in two images: encrypted image and the second private key. During the process of decryption, firstly the encrypted image is combined with second private key and thereafter it is subjected to inverse fractional Hartley transform. The resulting image is then combined with the first private key, and followed by another inverse fractional Hartley transform, thus recovering the two original images. The proposed cryptosystem is validated for pairs of grayscale images.

Słowa kluczowe

EN

double image encryption; twin decomposition; asymmetric cryptosystem; fractional Hartley transform

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2022
• Tom: Vol. 52, nr 1
• Strony: 21--35
• Opis fizyczny: Bibliogr. 43 poz., rys., tab.

Twórcy

autor

Kumar Jaideep

• School of Engineering and Technology, K.R. Mangalam University, Gurugram-122103, India

autor

Singh Phool

• School of Engineering and Technology, Central University of Haryana-123031, India

autor

Yadav Ak

• Amity School of Applied Sciences, Amity University Haryana, Gurugram-122413, India

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] MEHRA I., NISHCHAL N.K., Image fusion using wavelet transform and its application to asymmetric cryptosystem and hiding, Optics Express 22(5), 2014, pp. 5474–5482, DOI: 10.1364/OE.22.005474.
• [3] 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.
• [4] CHEN L., ZHAO D., Optical image encryption with Hartley transforms, Optics Letters 31(23), 2006, pp. 3438–3440, DOI: 10.1364/OL.31.003438.
• [5] CARNICER A., MONTES-USATEGUI M., ARCOS S., JUVELLS I., Vulnerability to chosen-cyphertext attacks of optical encryption schemes based on double random phase keys, Optics Letters 30(13), 2005, pp. 1644–1646, DOI: 10.1364/OL.30.001644.
• [6] GOPINATHAN U., MONAGHAN D.S., NAUGHTON T.J., SHERIDAN J.T., A known-plaintext heuristic attack on the Fourier plane encryption algorithm, Optics Express 14(8), 2006, pp. 3181–3186, DOI: 10.1364/OE.14.003181.
• [7] PENG X., WEI H., ZHANG P., Chosen-plaintext attack on lensless double-random phase encoding in the Fresnel domain, Optics Letters 31(22), 2006, pp. 3261–3263, DOI: 10.1364/OL.31.003261.
• [8] 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.
• [9] UNNIKRISHNAN G., SINGH K., Double random fractional Fourier-domain encoding for optical security, Optical Engineering 39(11), 2000, pp. 2853–2859, DOI: 10.1117/1.1313498.
• [10] SINGH P., YADAV A.K., SINGH K., Phase image encryption in the fractional Hartley domain using Arnold transform and singular value decomposition, Optics and Lasers in Engineering 91, 2017, pp. 187–195, DOI: 10.1016/j.optlaseng.2016.11.022.
• [11] LIU Z., GUO Q., XU L., AHMAD M.A., LIU S., Double image encryption by using iterative random binary encoding in gyrator domains, Optics Express 18(11), 2010, pp. 12033–12043, DOI: 10.1364/OE.18.012033.
• [12] ZHOU N., WANG Y., GONG L., Novel optical image encryption scheme based on fractional Mellin transform, Optics Communications 284(13), 2011, pp. 3234–3242, DOI: 10.1016/j.optcom.2011.02.065.
• [13] CHEN L., ZHAO D., Optical image encryption based on fractional wavelet transform, Optics Communications 254(4–6), 2005, pp. 361–367, DOI: 10.1016/j.optcom.2005.05.052.
• [14] QIN W., PENG X., Asymmetric cryptosystem based on phase-truncated Fourier transforms, Optics Letters 35(2), 2010, pp. 118–120, DOI: 10.1364/OL.35.000118.
• [15] ABUTURAB M.R., Color information cryptosystem based on optical superposition principle and phase-truncated gyrator transform, Applied Optics 51(33), 2012, pp. 7994–8002, DOI: 10.1364/AO.51.007994.
• [16] WANG J., SONG L., LIANG X., LIU Y., LIU P., Secure and noise-free nonlinear optical cryptosystem based on phase-truncated Fresnel diffraction and QR code, Optical and Quantum Electronics 48(11), 2016, article 523, DOI: 10.1007/s11082-016-0796-3.
• [17] WANG X., ZHAO D., Simultaneous nonlinear encryption of grayscale and color images based on phase-truncated fractional Fourier transform and optical superposition principle, Applied Optics 52(25), 2013, pp. 6170–6178, DOI: 10.1364/AO.52.006170.
• [18] WANG Y., QUAN C., TAY C.J., Optical color image encryption without information disclosure using phase-truncated Fresnel transfor m and a random amplitude mask, Optics Communications 344, 2015, pp. 147–155, DOI: 10.1016/j.optcom.2015.01.045.
• [19] YADAV A.K., SINGH P., SINGH K., Cryptosystem based on devil’s vortex Fresnel lens in the fractional Hartley domain, Journal of Optics 47(2), 2018, pp. 208–219, DOI: 10.1007/s12596-017-0435-9.
• [20] YU S.-S., ZHOU N.-R., GONG L.-H., NIE Z., Optical image encryption algorithm based on phase-truncated short-time fractional Fourier transform and hyper-chaotic system, Optics and Lasers in Engineering 124, 2020, article 105816, DOI: 10.1016/j.optlaseng.2019.105816.
• [21] RAJPUT S.K., NISHCHAL N.K., Known-plaintext attack-based optical cryptosystem using phase-truncated Fresnel transform, Applied Optics 52(4), 2013, pp. 871–878, DOI: 10.1364/AO.52.000871.
• [22] WANG X., CHEN Y., DAI C., ZHAO D., Discussion and a new attack of the optical asymmetric cryptosystem based on phase-truncated Fourier transform, Applied Optics 53(2), 2014, pp. 208–213, DOI: 10.1364/AO.53.000208.
• [23] WANG X., ZHAO D., A special attack on the asymmetric cr yptosystem based on phase-truncated Fourier transforms, Optics Communications 285(6), 2012, pp. 1078–1081, DOI: 10.1016/j.optcom.2011.12.017.
• [24] CAI J., SHEN X., LEI M., LIN C., DOU S., Asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition, Optics Letters 40(4), 2015, pp. 475–478, DOI: 10.1364/OL.40.000475.
• [25] DENG X., Asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition: comment, Optics Letters 40(16), 2015, p. 3913, DOI: 10.1364/OL.40.003913.
• [26] WU J., LIU W., LIU Z., LIU S., Cryptanalysis of an “asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition”, Applied Optics 54(30), 2015, pp. 8921–8924, DOI: 10.1364/AO.54.008921.
• [27] WANG Y., QUAN C., TAY C.J., New method of attack and security enhancement on an asymmetric cryptosystem based on eq ual modulus decomposition, Applied Optics 55(4), 2016, pp. 679–686, DOI: 10.1364/AO.55.000679.
• [28] TAO R., XIN Y., WANG Y., Double image encryption based on random phase encoding in the fractional Fourier domain, Optics Express 15(24), 2007, pp. 16067–16079, DOI: 10.1364/OE.15.016067.
• [29] LIU Z., GONG M., DOU Y., LIU F., LIN S., AHMAD M.A., DAI J., LIU S., Double image encryption by using Arnold transform and discrete fractional angular transform, Optics and Lasers in Engineering 50(2), 2012, pp. 248–255, DOI: 10.1016/j.optlaseng.2011.08.006.
• [30] WANG X., ZHAO D., Double images encryption method with resistance a gainst the specific attack based on an asymmetric algorithm, Optics Express 20(11), 2012, pp. 11994–12003, DOI: 10.1364/OE.20.011994.
• [31] XIONG Y., HE A., QUAN C., Security analysis of a double-image encryption technique based on an asymmetric algorithm, Journal of the Optical Society of America A 35(2), 2018, pp. 320–326, DOI: 10.1364/JOSAA.35.000320.
• [32] SUI L., DUAN K., LIANG J., Double-image encryption based on discrete multiple-parameter fractional angular transform and two-coupled logistic maps, Optics Communications 343, 2015, pp. 140–149, DOI: 10.1016/j.optcom.2015.01.021.
• [33] KUMAR R., SHERIDAN J.T., BHADURI B., Nonlinear double image encryption using 2D non-separable linear canonical transform and phase retrieval algorithm, Optics & Laser Technology 107, 2018, pp. 353–360, DOI: 10.1016/j.optlastec.2018.06.014.
• [34] LIANSHENG SUI, CONG DU, XIAO ZHANG, AILING TIAN, ANAND A., Double-image encryption based on interference and logistic map under the framework of double random phase encoding, Optics and Lasers in Engineering 122, 2019, pp. 113–122, DOI: 10.1016/j.optlaseng.2019.06.005.
• [35] SINGH P., YADAV A., SINGH K., Color image encryption using affine transform in fractional Hartley domain, Optica Applicata 47(3), 2017, pp. 421–433, DOI: 10.5277/oa170308.
• [36] Z HAO D., LI X., CHEN L., Optical image encryption with redefined fractional Hartley transform, Optics Communications 281(21), 2008, pp. 5326–5329, DOI: 10.1016/j.optcom.2008.07.049.
• [37] LI X., ZHAO D., Optical color image encryption with redefined fractional Hartley transform, Optik 121(7), 2010, pp. 673–677, DOI: 10.1016/j.ijleo.2008.10.008.
• [38] LIU Y., DU J., FAN J., GONG L., Single-channel color image encryption algorithm based on fractional Hartley transform and vector operation, Multimedia Tools and Applications 74(9), 2015, pp. 3171–3182, DOI: 10.1007/s11042-013-1778-0.
• [39] SINGH P., YADAV A.K., SINGH K., SAINI I., Asymmetric watermarking scheme in fractional Hartley domain using modified equal modulus decomposition, Journal of Optoelectronics and Advanced Materials 21(7–8), 2019, pp. 484–491.
• [40] YADAV A.K., SINGH P., SAINI I., SINGH K., Asymmetric encryption algorithm for colourimages based on fractional Hartley transform, Journal of Modern Optics 66(6), 2019, pp. 629–642, DOI: 10.1080/09500340.2018.1559951.
• [41] YE H.-S., ZHOU N.-R., GONG L.-H., Multi-image compression-encryption scheme based on quaternion discrete fractional Hartley transform and improved pixel adaptive diffusion, Signal Processing 175, 2020, article 107652, DOI: 10.1016/j.sigpro.2020.107652.
• [42] CAI J., SHEN X., Modified optical asymmetric image cryptosystem based on coherent superposition and equal modulu s decomposition, Optics & Laser Technology 95, 2017, pp. 105–112, DOI: 10.1016/j.optlastec.2017.04.018.
• [43] RAKHEJA P., VIG R., SINGH P., An asymmetric hybrid cryptosystem using hyperchaotic system and random decomposition in hybrid multi resolution wavelet domain, Multimedia Tools and Applications 78, 2019, pp. 20809–20834, DOI: 10.1007/s11042-019-7406-x.