Image encryption with General Singular Values Decomposition via logistic function by encryption key only real number (method-2)
*Mohammed Abdul-HameedCorresponding authormohammeda.alkufi@uokufa.edu.iqDepartment of MathematicsCollege of Basic EducationKufa UniversityNajaf, Iraqhttp://orcid.org/0000-0001-7080-3181View full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 15 Sep 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1629
- Pages:
- 1311–1318
Abstract
Keywords
Subject Classifications
Acknowledgements
References
[1] A.H. Lotfy, A.A. El-Abbas-History of Mathematics-Cairo-General Authority for Amiri Press Affairs-1959.
[2] A.AL-Rammahi, M. Al-kufi; Image cryptography via svd modular numbers; European Journal of Scientific Research-Volume 138 No 2 (February, 2016).
[3] A.G. Radwan, genuine article some generalized discrete logistic maps, Engineering Mathematics Department, Faculty of Engineering, Cairo University, 12613, Egypt.
[4] (https://ui.adsabs.harvard.edu/abs/1981JSP....26..173G). doi:10.1007/BF01106792 (https://doi.org/10.1007% 2FBF01106792).
[5] Amira B. S., Zahraa M. T. Ahmed S. N. 2010. An Investigation for Steganography using Different Color System. AL-Rafidain Journal of Computer Sciences and Mathematics for the year. Proceedings of the Third Scientific Conference on Technology of information. 29-30 / Nov. / 2010, Faculty of Computer Science and Mathematics-University of Mosul. 474-492: http://computerscience.uomosul.edu.iq/files/pages/page_4034788.pdf.
[6] Deepak A., Sandeep K., Anantdeep A. An Efficient Watermarking Algorithm to Improve Payload and Robustness without Affecting Image Perceptual Quality, Journal of Computing. 2(4). 105-109 (2010).
[7] Grassberger, P. On the Hausdorff dimension of fractal attractors. Journal of Statistical Physics. 26 (1): 173-179 (1981). Bibcode:1981JSP....26..173G.
[8] Grassberger, P.; Procaccia, I. Measuring the strangeness of strange attractors. Physica D: Nonlinear Phenomena 9 (1-2): 189-208 ((1983)). Bibcode:1983PhyD....9..189G (https://ui.adsabs.harvard.edu/abs/ 1983PhyD....9..189G). doi:10.1016/0167-2789(83)90298-1 (https://doi.org/10.1016%2F0167-2789%2883%2990298-1).
[9] Hansen, P.C. Regularization, GSVD and truncated GSVD. BIT Numer. Math. 29, 491-504 (1989).
[10] H. Abdi, Singular Value Decomposition (SVD) and Generalized Singular Value Decomposition (GSVD), Encyclopedia of Measurement and Statistics, 2007.
[11] M.J. Burjus. AL-Bashkani-Image Cryptography using General Singular Values Decomposition-Thesis of master degree-Faculty of Computer Science & Mathematics \ the University of Kufa-January / 2019.
[12] MATLAB Version 7.12.0.635 (R2011a) 32 bit (win 32) march 18,2011 License Number 161052.
[13] W. Gao, M.R. Farahani. The hyper-Zagreb index for an infinite family of nanostar dendrimer. Journal of Discrete Mathematical Sciences and Cryptography, 20(2), 515-523 (2017). https://doi.org/10.1080/09720529.2016.1220088.
[14] A.J.M. Khalaf, A.Q. Baig, M.R. Azhar, M. Imran, M.R. Farahani. The Eccentric Based Zagreb Indices of Carbon Graphite Journal of Discrete Mathematical Sciences, Cryptography. 23(6), (2020), 1121-1137. https://doi.org/10.1080/09720529.2020.1818448.
[15] A.J.M. Khalaf, M.F. Hanif, M.K. Siddiqui, M.R. Farahani. On degree based topological indices of bridge graphs. Journal of Discrete Mathematical Sciences, Cryptography. 23(6), (2020), 1139-1156. https://doi.org/10.1080/09720529.2020.1822040.
[16] M. Alaeiyan, F. Afzal, M.R. Farahani, M.A. Rostami. An exact formulas for the Wiener polarity index of nanostar dendrimers, Journal of Information and Optimization Sciences, 41(4), 933-939 (2020). https://doi.org/10.1080/02522667.2020.1748274.




