ANALYSIS OF NEW CHAOTIC MAP AND PERFORMANCE EVALUATION IN ITS APPLICATION TO DIGITAL COLOR IMAGE ENCRYPTION
In this research a new chaotic map which is a modification from composition of MS map and Improved logistics map is proposed. New map’s chaotic behavior is proven by the bifurcation diagram and Lyapunov exponent. This map will be used in chaos-based cryptography as a keystream generator and then it will be processed in the encryption and decryption algorithms through XOR operations. The results of the encryption and decryption processes were evaluated by several tests such as key sensitivity analysis, histogram analysis, correlation analysis, and image quality analysis. All the tests are doing to evaluate the performance new chaotic map in encryption of digital color image. Based on the results of several tests, a conclusion can be drawn that the encryption and decryption process is successful and difficult to attack with various kinds of attacks. The key that built from new chaotic map has a good sensitivity.
Ljupco Kocarev and S. Lian, Chaos-based Cryptography. Heidelberg: Springer Berlin, 2016.
X. Wang, L. Feng, and H. Zhao, “Fast image encryption algorithm based on parallel computing system,” Inf. Sci., vol. 486, pp. 340–358, Jun. 2019.
X. Wang, Y. Li, and J. Jin, “A new one-dimensional chaotic system with applications in image encryption,” Chaos Solitons Fractals, vol. 139, p. 110102, Oct. 2020.
Z. Parvin, H. Seyedarabi, and M. Shamsi, “A new secure and sensitive image encryption scheme based on new substitution with chaotic function,” Multimed. Tools Appl., vol. 75, no. 17, pp. 10631–10648, Sep. 2016.
Y. Fu, P. Kong, H. Yao, Z. Tang, and C. Qin, “Effective reversible data hiding in encrypted image with adaptive encoding strategy,” Inf. Sci., vol. 494, pp. 21–36, Aug. 2019.
C. Das, S. Panigrahi, V. K.Sharma, and K. K. Mahapatra, “A novel blind robust image watermarking in DCT domain using inter-block coefficient correlation,” AEU - Int. J. Electron. Commun., vol. 68, no. 3, pp. 244–253, Mar. 2014.
Ali Mansouri and Xingyuan Wang, “A novel one-dimensional sine powered chaotic map and its application in a new image encryption scheme,” Inf. Sci., vol. 520, pp. 46–62, May 2020.
Y. Dai and X. Wang, “Medical image encryption based on a composition of Logistic Maps and Chebyshev Maps,” in 2012 IEEE International Conference on Information and Automation, pp. 210–214, Jun. 2012.
X. Zhou and H. Zhang, “A new chaotic function and its cryptographic usage,” Wuhan Univ. J. Nat. Sci., vol. 13, no. 5, p. 557, Nov. 2008.
G. Ye and K.-W. Wong, “An efficient chaotic image encryption algorithm based on a generalized Arnold map,” Nonlinear Dyn., vol. 69, no. 4, pp. 2079–2087, Sep. 2012.
H. Natiq, N. M. G. Al-Saidi, M. R. M. Said, and A. Kilicman, “A new hyperchaotic map and its application for image encryption,” Eur. Phys. J. Plus, vol. 133, no. 1, pp. 1–14, Jan. 2018.
L. Liu and S. Miao, “An image encryption algorithm based on Baker map with varying parameter,” Multimed. Tools Appl., vol. 76, no. 15, pp. 16511–16527, Aug. 2017.
C. Pak, K. An, P. Jang, J. Kim, and S. Kim, “A novel bit-level color image encryption using improved 1D chaotic map,” Multimed. Tools Appl., vol. 78, no. 9, pp. 12027–12042, May 2019.
B. Norouzi, S. Mirzakuchaki, S. M. Seyedzadeh, and M. R. Mosavi, “A simple, sensitive and secure image encryption algorithm based on hyper-chaotic system with only one round diffusion process,” Multimed. Tools Appl., vol. 71, no. 3, pp. 1469–1497, Aug. 2014.
M. Y.T. Irsan, “Analsis kinerja new modified map pada enkripsi citra digital,” Thesis, Universitaas Indonesia, Depok.
A. Akhsani, H. Mahmodi, and A. Akhvan, “A Novel Block Cipher Based on Hierarchy of One-Dimensional Composition Chaotic Maps,” in 2006 International Conference on Image Processing, pp. 1993–1996 ,Oct. 2006.
S. B. Kembaren, S. Suryadi, and T. Triswanto, “Implementasi algoritma enkripsi citra digital berbasis chaos menggunakan fungsi komposisi logistic dan gauss iterated map,” in Seminar Nasional Pendidikan Sains dan Teknologi, pp. 263–272 Oktober 2018.
Stephen Lynch, Dynamical Systems with Applications using MapleTM, 2nd ed., . 2nd ed., MA: Birkhäuser Boston, 2009.
S. H. Strogatz, Nonlinear Dynamics and Chaos | With Applications to Physics, Biology, Second. Second.Boca Raton: CRC Press, 2015.
Y. Wu, J.P. Noonan, and S. Agaian, “NPCR and UACI randomness tests for image encryption,” Cyber J. Multidiscip. J. Sci. Technol. J. Sel. Areas Telecommun. JSAT, vol. 1, no. 2, pp. 31–38, Apr. 2011.
Copyright (c) 2023 Ita Mar'atu Solihat, Suryadi MT, Yudi Satria
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish with this Journal agree to the following terms:
- Author retain copyright and grant the journal right of first publication with the work simultaneously licensed under a creative commons attribution license that allow others to share the work within an acknowledgement of the work’s authorship and initial publication of this journal.
- Authors are able to enter into separate, additional contractual arrangement for the non-exclusive distribution of the journal’s published version of the work (e.g. acknowledgement of its initial publication in this journal).
- Authors are permitted and encouraged to post their work online (e.g. in institutional repositories or on their websites) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published works.