Abstract
The privacy of digital contents plays an important role in digitally advanced era. The transmission of digital information over public networks have extraordinary impact and gradually imperative due to theft and manipulation in contents. In this article, we have suggested a new encryption scheme based on Kramer’s arbitrary spinning in order to provide the confidentiality to digital contents. We have implemented our offered scheme on standard digital images and performed the security performance analyses to authentic the robustness against cryptographic attacks.
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References
Waseem, H.M., Khan, M.: Information confidentiality using quantum spinning, rotation and finite state machine. Int. J. Theor. Phys. 57(11), 3584–3594 (2018)
Premaratne, P., Premaratne, M.: Key-based scrambling for secure image communication. In: International Conference on Intelligent Computing, pp. 259–263. Springer, Berlin, Heidelberg (2012)
Unnikrishnan, G., Joseph, J., Singh, K.: Optical encryption by double-random phase encoding in the fractional Fourier domain. Opt. Lett. 25(12), 887–889 (2000)
Zhu, B., Liu, S., Ran, Q.: Optical image encryption based on multifractional Fourier transforms. Opt. Lett. 25(16), 1159–1161 (2000)
Peng, X., Yu, L., Cai, L.: Double-lock for image encryption with virtual optical wavelength. Opt. Express. 10(1), 41–45 (2002)
Nishchal, N.K., Joseph, J., Singh, K.: Securing information using fractional Fourier transform in digital holography. Opt. Commun. 235(4–6), 253–259 (2004)
Situ, G., Zhang, J.: A lensless optical security system based on computer-generated phase only masks. Opt. Commun. 232(1–6), 115–122 (2004)
Chen, L., Zhao, D.: Optical image encryption based on fractional wavelet transform. Opt. Commun. 254(4–6), 361–367 (2005)
Meng, X.F., Cai, L.Z., He, M.Z., Dong, G.Y., Shen, X.X.: Cross-talk-free double-image encryption and watermarking with amplitude–phase separate modulations. J. Opt. A Pure Appl. Opt. 7(11), 624–631 (2005)
La Mela, C., Iemmi, C.: Optical encryption using phase-shifting interferometry in a joint transform correlator. Opt. Lett. 31(17), 2562–2564 (2006)
Hwang, H.E., Han, P.: Fast algorithm of phase masks for image encryption in the Fresnel domain. JOSA A. 23(8), 1870–1874 (2006)
Tao, R., Xin, Y., Wang, Y.: Double image encryption based on random phase encoding in the fractional Fourier domain. Opt. Express. 15(24), 16067–16079 (2007)
Liu, Z., Liu, S.: Double image encryption based on iterative fractional Fourier transform. Opt. Commun. 275(2), 324–329 (2007)
Ge, F., Chen, L., Zhao, D.: A half-blind color image hiding and encryption method in fractional Fourier domains. Opt. Commun. 281(17), 4254–4260 (2008)
Liu, Z., Li, Q., Dai, J., Sun, X., Liu, S., Ahmad, M.A.: A new kind of double image encryption by using a cutting spectrum in the 1-D fractional Fourier transform domains. Opt. Commun. 282(8), 1536–1540 (2009)
Wang, B., Zhang, Y.: Double images hiding based on optical interference. Opt. Commun. 282(17), 3439–3443 (2009)
Meng, X.F., Cai, L.Z., Wang, Y.R., Yang, X.L., Xu, X.F., Dong, G.Y., Shen, X.X.: Digital image synthesis and multiple-image encryption based on parameter multiplexing and phase-shifting interferometry. Opt. Lasers Eng. 47(1), 96–102 (2009)
Shannon, C.E.: Communication theory of secrecy systems. Bell system technical journal. 28(4), 656–715 (1949)
Shannon, C.E.: A mathematical theory of communication. Bell system technical journal. 27(3), 379–423 (1948)
Kramers, H.A., 1930. HA Kramers Proc. roy. Acad. Amsterdam, 32 (1929). In Proc. roy. Acad. Amsterdam (Vol. 33, p. 959)
Sklar, B., 2001. Digital Communications: Fundamentals and Applications
Barrett, W.W., Jarvis, T.J.: Spectral properties of a matrix of Redheffer. Linear Algebra Appl. 162–164 (1992)
Will Dana. Eigenvalues of the Redheffer Matrix and their Relation to the Mertens Function, 2015
Wheeler, N., 2000. Spin matrices for arbitrary spin. Reed College Physics Department, Portland
Dresden, M.H.A.: Kramer’s: between Tradition and Revolution. springer (1987) ISBN 978-1-4612-4622-0
Umezawa, H., 1956. Quantum Field Theory
Younas, I., Khan, M.: A new efficient digital image encryption based on inverse left almost semi group and Lorenz chaotic system. Entropy. 20(12), 913 (2018)
Khan, M., Asghar, Z.: A novel construction of substitution box for image encryption applications with Gingerbreadman chaotic map and S 8 permutation. Neural Comput. & Applic. 29(4), 993–999 (2018)
Waseem, H.M., Khan, M.: A new approach to digital content privacy using quantum spin and finite-state machine. Applied Physics B. 125(2), 27 (2019)
Khan, M., Waseem, H.M.: A novel image encryption scheme based on quantum dynamical spinning and rotations. PLoS One. 13(11), e0206460 (2018)
Stoyanov, B., Kordov, K.: Image encryption using Chebyshev map and rotation equation. Entropy. 17(4), 2117–2139 (2015)
Khan, M., Shah, T.: An efficient chaotic image encryption scheme. Neural Comput. & Applic. 26, 1137–1148 (2015)
Waseem, H.M., Khan, M., Shah, T.: Image privacy scheme using quantum spinning and rotation. Journal of Electronic Imaging. 27(6), 063022 (2018)
Munir, N. and Khan, M., 2018. A Generalization of Algebraic Expression for Nonlinear Component of Symmetric Key Algorithms of Any Characteristic p. In 2018 International Conference on Applied and Engineering Mathematics (ICAEM) (pp. 48–52). IEEE
Hussain, I., Anees, A., Aslam, M., Ahmed, R., Siddiqui, N.: A noise resistant symmetric key cryptosystem based on S 8 S-boxes and chaotic maps. The European Physical Journal Plus. 133, 1–23 (2018)
Blondeau, C., Leander, G., Nyberg, K.: Differential-linear cryptanalysis revisited. J. Cryptol. 30(3), 859–888 (2017)
Khan, M., Shah, T.: A construction of novel chaos base nonlinear component of block cipher. Nonlinear Dynamics. 76(1), 377–382 (2014)
Khan, M., Shah, T., Batool, S.I.: A new implementation of chaotic S-boxes in CAPTCHA. SIViP. 10(2), 293–300 (2016)
Acknowledgments
Both authors Hafiz Muhammad Waseem and Dr. Majid Khan are highly grateful to Vice Chancellor Dr. Syed Wilayat Husain, Dean Iqbal Rasool Memon, and Director cyber and information security Lab Prof. Dr. Muhammad Amin, Institute of Space Technology, Islamabad Pakistan, for providing decent atmosphere for research and development.
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Khan, M., Waseem, H.M. A Novel Digital Contents Privacy Scheme Based on Kramer’s Arbitrary Spin. Int J Theor Phys 58, 2720–2743 (2019). https://doi.org/10.1007/s10773-019-04162-z
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DOI: https://doi.org/10.1007/s10773-019-04162-z