A Novel Image Encryption Scheme Based on Multi-orbit Hybrid of Discrete Dynamical System

Автор: Ruisong Ye, Huiqing Huang, Xiangbo Tan

Журнал: International Journal of Modern Education and Computer Science (IJMECS) @ijmecs

Статья в выпуске: 10 vol.6, 2014 года.

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A multi-orbit hybrid image encryption scheme based on discrete chaotic dynamical systems is proposed. One generalized Arnold map is adopted to generate three orbits for three initial conditions. Another chaotic dynamical system, tent map, is applied to generate one pseudo-random sequence to determine the hybrid orbit points from which one of the three orbits of generalized Arnold map. The hybrid orbit sequence is then utilized to shuffle the pixels' positions of plain-image so as to get one permuted image. To enhance the encryption security, two rounds of pixel gray values' diffusion is employed as well. The proposed encryption scheme is simple and easy to manipulate. The security and performance of the proposed image encryption have been analyzed, including histograms, correlation coefficients, information entropy, key sensitivity analysis, key space analysis, differential analysis, etc. All the experimental results suggest that the proposed image encryption scheme is robust and secure and can be used for secure image and video communication applications.

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Chaotic dynamical system, generalized Arnold map, tent map, shuffling, diffusion

Короткий адрес: https://sciup.org/15014695

IDR: 15014695

Список литературы A Novel Image Encryption Scheme Based on Multi-orbit Hybrid of Discrete Dynamical System

  • B. Schiener. Applied Cryptography: Protocols, Algorithms and Source Code in C[M], John Wiley and sons, New York, 1996.
  • J. Fridrich, Symmetric ciphers based on two-dimension chaotic map [J]. International Journal of Bifurcation and chaos, 1998,8(6):1259-1284.
  • F. Huang, Z.-H. Guan, A modified method of a class of recently presented cryptosystems, Chaos, Solitons and Fractals, 23(2005), 1893–1899.
  • R. Ye, A novel chaos-based image encryption scheme with an efficient permutation-diffusion mechanism, Optics Communications, 284(2011), 5290–5298.
  • N. K. Pareek, V. Patidar, K. K. Sud, Image encryption using chaotic logistic map, Image and Vision Computing, 24(2006), 926-934.
  • N. Masuda, K. Aihara, Cryptosystems with discretized chaotic maps, IEEE Trans. Circuits Syst. I, 49(2002), 28–40.
  • H. Liu, X. Wang, Color image encryption using spatial bit-level permutation and high-dimension chaotic system, Optics Communications, 284(2011), 3895–3903.
  • S. Behnia, A. Akhshani, S. Ahadpour, H. Mahmodi, A. Akhavan, A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps, Phys. Lett. A, 366(2007), 391–396.
  • S. Lian, J. Sun, Z. Wang, A block cipher based on a suitable use of the chaotic standard map, Chaos, Solitons and Fractals, 26 (2005), 117–129.
  • V. Patidar, N. K. Pareek, K. K. Sud, A new substitution–diffusion based image cipher using chaotic standard and logistic maps, Communications in Nonlinear Science and Numerical Simulation, 14 (2009), 3056–3075.
  • N. Masuda, K. Aihara, Cryptosystems with discretized chaotic maps, IEEE Trans. Circuits Syst. I, 49(2002), 28–40.
  • S. Behnia, A. Akhshani, S. Ahadpour, H. Mahmodi, A. Akhavan, A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps, Phys. Lett. A, 366(2007), 391–396.
  • S. Lian, J. Sun, Z. Wang, A block cipher based on a suitable use of the chaotic standard map, Chaos, Solitons and Fractals, 26 (2005), 117–129.
  • L. Kocarev, Chaos-based cryptography: a brief overview, IEEE Circuits and Systems Magazine, 1(2001), 6–21.
  • C. Zhu, A novel image encryption scheme based on improved hyperchaotic sequences [J]. Opt. Commun., 2012, 285:29-37.
  • M. Hasler and Y. L. Maistrenko, An introduction to the synchronization of chaotic systems: Coupled skew tent map [J], IEEE Transactions on Circuits and Systems, 1997, 44: 856-866.
  • V. Arnold, A. Avez, Ergodic problems in classical mechanics [M], Benjamin, New York, 1968.
  • C. E. Shannon, Communication theory of secrecy system [J]. Bell Syst. Tech. J, 1949, 28: 656-715.
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