An image encryption scheme based on concatenated torus automorphisms

KSII Transactions on Internet and Information Systems

Volumn 7, Issue 6, 2013, Pages 1492-1511

  Mao, Qian ^a,b   Chang, Chin Chen ^b,c   Wu, Hsiao Ling ^c  

^a UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

^b ASIA UNIVERSITY   (Taiwan)

^c FENG CHIA UNIVERSITY   (Taiwan)

Author keywords

Chaotic map; Diffusion; Image encryption; Permutation; Torus automorphism

Indexed keywords

AUTOMORPHISMS; BRUTE-FORCE ATTACK; CHAOTIC MAP; DIFFERENTIAL ATTACKS; DIFFUSION FUNCTIONS; IMAGE ENCRYPTION SCHEME; IMAGE ENCRYPTIONS; PERMUTATION;

CHAOTIC SYSTEMS; DIFFUSION; IMAGE PROCESSING; ITERATIVE METHODS; LYAPUNOV METHODS;

CRYPTOGRAPHY;

EID: 84879527914     PISSN: 19767277     EISSN: 22881468     Source Type: Journal    
DOI: 10.3837/tiis.2013.06.009     Document Type: Article

References (22)

1. G. Jakimoski and L. Kocarev, "Chaos and cryptography: block encryption ciphers based on chaotic maps, " IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 48, no. 2, pp. 163-169, 2001.
2. C. E. Shannon, "Communication theory of secrecy systems, " Bell System Technical Journal (Bell System Tech.), vol. 28, no. 4, pp. 656-715, 1949.
3. B. Jovic and C. P. Unsworth, "Fast synchronisation of chaotic maps for secure chaotic communications, " Electronics Letters, vol. 46, no. 1, pp. 49-50, 2010.
4. K. W. Wong, Q. Z. Lin and J. Y. Chen, "Simultaneous arithmetic coding and encryption using chaotic maps, " IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 57, no. 2, pp. 146-150, 2010.
5. G. A. Sathishkumar, S. Ramachandran and K. B. Bagan, "Image encryption using random pixel permutation by chaotic mapping, " in Proc. of IEEE Symposium on Computers & Informatics (ISCI), pp. 247-251, 2012.
6. J. Fridrich, "Symmetric ciphers based on two-dimensional chaotic maps, " International Journal of Bifurcation and Chaos, vol. 8, no 6, pp. 1259-1284, 1998.
7. Z. L. Zhu, W. Zhang, K. W. Wong and H. Yu, "A chaos-based symmetric image encryption scheme using a bit-level permutation, " Information Science, vol. 181, no. 6, pp. 1171-1186, 2011.
8. R. S. Ye and H. Q. Huang, "A novel image shuffling and watermarking scheme based on standard map, " in Proc. of International Conference on Information Engineering and Computer Science (ICIECS), pp. 1-4, 2009.
9. V. Patidar, G. Purohit, K. K. Sud and N. K. Pareek, "Image encryption through a novel permutation-substitution scheme based on chaotic standard map, " in Proc. of International Workshop on Chaos-Fractals Theories and Applications (IWCFTA), pp. 164-169, 2010.
10. Y. Sun and G. Y. Wang, "An image encryption scheme based on modified logistic map, " in Proc. of Fourth International Workshop on Chaos-Fractals Theories and Applications (IWCFTA), pp. 179-182, 2011.
11. A. H. Zhu and L. Li, "Improving for chaotic image encryption algorithm based on logistic map, " in Proc. of International Conference on Environmental Science and Information Application Technology (ESIAT), vol. 3, pp. 211-214, 2010.
12. X. Y, Wang, L. Teng and X. Qin, "A novel colour image encryption algorithm based on chaos, " Signal Processing, vol. 92, no. 4, pp. 1101-1108, 2012.
13. Y. Y. Mao and X. Chen, "An encryption algorithm of chaos based on sine square mapping, " in Proc. of Fourth International Symposium on Computational Intelligence and Design (ISCID), pp. 131-134, 2011.
14. D. E. Goumidi and F. Hachouf, "Modified confusion-diffusion based satellite image cipher using chaotic standard, logistic and sine maps, " in Proc. of 2nd European Workshop on Visual Information Processing (EUVIP), pp. 204-209, 2010.
15. V. I. Arnold and A. Avez, Ergodic Problems of Classical Mechanics, Benjamin, New York, 1968.
16. P. Akritas, I. E. Antoniou and G. P. Pronko, "On the torus automorphisms: analytic solution, computability and quantization, " Chaos, Solitons and Fractals, vol. 12, no. 14, pp. 2805-2814, 2001.
17. L. H. Zhu, W. Z. Li, L. J. Liao and H. Li, "A novel algorithm for scrambling digital image based on cat chaotic mapping, " in Proc. of International Conference on Intelligent Information Hiding and Multimedia Signal Processing (IIH-MSP), pp. 601-604, 2006.
18. C. J. Pang, "An image encryption algorithm based on discrete wavelet transform and two dimension cat mapping, " in Proc. of International Conference on Networks Security, Wireless Communications and Trusted Computing (NSWCTC), pp. 711-714, 2009.
19. G. Chen, Y. Mao and C. Chui, "A symmetric image encryption scheme based on 3D chaotic cat maps, " Chaos, Solitons, Fractals, vol. 21, no. 3, pp. 749-761, 2004.
20. C. C. Chang, J. Y. Hsiao and C. L. Chiang, "An image copyright protection scheme based on torus automorphism, " in Proc. of the First International Symposium on Cyber Worlds, pp. 217-224, 2002.
21. F. Chen, K. W. Wong, X. F. Liao and T. Xiang, "Period distribution of generalized discrete arnold cat map for N = pe, " IEEE Transactions on Information Theory, vol. 58, no. 1, pp. 445-452, 2012.
22. I. Percival and F. Vivaldi, "Arithmetical properties of strongly chaotic motions, " Physica D: Nonlinear Phenomena, vol. 25, no. 1-3, pp. 105-130, 1987.