A symmetric image encryption scheme based on combination of nonlinear chaotic maps

Journal of the Franklin Institute

Volumn 348, Issue 8, 2011, Pages 1797-1813

  Akhavan, A ^a   Samsudin, A ^a   Akhshani, A ^a  

^a SCHOOL OF PHYSICS   (Malaysia)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC MAP; IMAGE ALGORITHMS; IMAGE ENCRYPTION ALGORITHM; IMAGE ENCRYPTION SCHEME; IMAGE ENCRYPTIONS; KEY SPACE; LOW SPEED; PIECE-WISE;

ALGORITHMS; COMPUTER SIMULATION; CRYPTOGRAPHY;

CHAOTIC SYSTEMS;

EID: 80052570512     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.05.001     Document Type: Article

References (45)

1. G. Grassi Propagation of projective synchronization in a series connection of chaotic systems J. Franklin Inst. 347 2010 438 451
2. X. Lia, Ch. Ding, and Q. Zhu Synchronization of stochastic perturbed chaotic neural networks with mixed delays J. Franklin Inst. 347 2010 1266 1280
3. H control for systems within interval time-varying delay J. Franklin Inst. 348 2011 555 567
4. X. Wu, J. Li, and G. Chen Chaos in the fractional order unified system and its synchronization J. Franklin Inst. 345 2008 392 401
5. E.E. May, M.A. Vouk, D.L. Bitzer, and D.I. Rosnick An error-correcting code framework for genetic sequence analysis J. Franklin Inst. 341 2004 89 109
6. R. Schmitz Use of chaotic dynamical systems in cryptography J. Franklin Inst. 338 2001 429 441 (Pubitemid 32446618)
7. N.K. Pareek, V. Patidar, and K.K. Sud Discrete chaotic cryptography using external key Phys. Lett. A 309 2003 75 82
8. R. Matthews On the derivation of a chaotic encryption algorithm Cryptologia VIII 1 1984 29 41
9. L. Kocarev, and G. Jakimoski Logistic map as a block encryption algorithm Phys. Lett. A 289 2001 199 206 (Pubitemid 33031787)
10. N. Masuda, and K. Aihara Cryptosystems with discretized chaotic maps IEEE Trans. Circuits Syst. I 49 1 2002 28 40 (Pubitemid 34228684)
11. H. Zhou, and X. Ling Problems with the chaotic inverse system encryption approach IEEE Trans. Circuits Syst. I 44 3 1997 268 271 (Pubitemid 127768824)
12. F. Huang, and Z.-H. Guan A modified method of a class of recently presented cryptosystems Chaos Solitons Fractals 23 2005 1893 1899
13. T. Sang, R. Wang, and Y. Yan Theoretical design for a class of new chaotic feedback stream ciphers Acta Electron. Sin. 27 7 1999 47 50
14. S. Behnia, A. Akhshani, S. Ahadpour, H. Mahmodi, and A. Akhavan A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps Phys. Lett. A 366 2007 391 396
15. S.S.E.H. Elnashaie, and M.E. Abashar On the chaotic behaviour of forced fluidized bed catalytic reactors Chaos Solitons Fractals 5 1995 797 831
16. L. Kocarev Chaos-based cryptography: a brief overview IEEE Circuits Syst. Mag. 1 3 2001 6 21 (Pubitemid 33778221)
17. V.I. Ponomarenko, and M.D. Prokhorov Extracting information masked by the chaotic signal of a time-delay system Phys. Rev. E 66 2 2002 026215/1 026215/7 (Pubitemid 40618737)
18. S. Li, X. Mou, B.L. Yang, Z. Ji, and J. Zhang Problems with a probabilistic encryption scheme based on chaotic systems Int. J. Bifurcat. Chaos 13 10 2003 3063 3077 (Pubitemid 38034506)
19. G. Jakimoski, and L. Kocarev Analysis of some recently proposed chaos-based encryption algorithms Phys. Lett. A 291 2001 381 384 (Pubitemid 33151835)
20. A. Akhavan, H. Mahmodi, and A. Akhshani A new image encryption algorithm based on one-dimensional polynomial chaotic maps Lect. Notes Comput. Sci. 4263 2006 963 971 (Pubitemid 44859622)
21. M.A. Jafarizadeh, S. Behnia, S. Khorram, and H. Naghshara Hierarchy of chaotic maps with an invariant measure J. Stat. Phys. 104 516 2001 1013 1028
22. Z.X. Wang, and D.R. Guo Special Functions 1989 World Scientific
23. B. Schneier, Applied Cryptography: Protocols, Algorithms, and Source Code in C, second ed., John Wiley & Sons, New York, 1996.
24. C.E. Shannon Communication theory of secrecy systems Bell Syst. Tech. J. 28 1949 656 715
25. C.E. Shannon A mathematical theory of communication Bell Syst. Tech. J. 27 3 1948 379 423
26. H.S. Kwok, and W.K.S. Tang A fast image encryption system based on chaotic maps with finite precision representation Chaos Solitons Fractals 32 2007 1518 1529 (Pubitemid 44909770)
27. N.K. Pareek, V. Patidar, and K.K. Sud Image encryption using chaotic logistic map Image Vis. Comput. 24 2006 926 934 (Pubitemid 44209299)
28. X. Tong, and M. Cui Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator Signal Process. 89 2009 480 491
29. S. Behnia, A. Akhshani, H. Mahmodi, and A. Akhavan Chaotic cryptographic scheme based on composition maps Int. J. Bifurcat. Chaos 18 2008 251 261 (Pubitemid 351700593)
30. S. Behnia, A. Akhshani, H. Mahmodi, and A. Akhavan A novel algorithm for image encryption based on mixture of chaotic maps Chaos Solitons Fractals 35 2008 408 419 (Pubitemid 47391236)
31. A.J. Menezes, P. van Oorschot, and S. Vanstone Handbook of Applied Cryptography 2001 CRC Press
32. G. Chen, Y. Mao, and C.K. Chui A symmetric image encryption scheme based on 3D chaotic cat maps Chaos Solitons Fractals 21 2004 749 761
33. S. Behnia, A. Akhshani, A. Akhavan, and H. Mahmodi Applications of tripled chaotic maps in cryptography Chaos Solitons Fractals 40 2009 505 519
34. R. Rhouma, S. Meherzi, and S. Belghith OCML-based colour image encryption Chaos Solitons Fractals 2009 309 318
35. K.-W. Wong, B.S.-H. Kwok, and W.-S. Law A fast image encryption scheme based on chaotic standard map Phys. Lett. A 372 2008 2645 2652
36. F. Sun, Z. Lü, and S. Liu A new cryptosystem based on spatial chaotic system Opt. Commun. 283 2010 2066 2073
37. H. Yang, K.-W. Wong, X. Liao, W. Zhang, and P. Wei A fast image encryption and authentication scheme based on chaotic maps Commun. Nonlinear Sci. Numer. Simulat. 2010 3507 3517
38. X.-Y. Wang, F. Chen, and T. Wang A new compound mode of confusion and diffusion for block encryption of image based on chaos Commun. Nonlinear Sci. Numer. Simulat. 15 2010 2479 2485
39. F. Sun, S. Liu, Z. Li, and Z. Lüe A novel image encryption scheme based on spatial chaos map Chaos Solitons Fractals 38 2008 631 640
40. X. Tong, and M. Cui Image encryption with compound chaotic sequence cipher shifting dynamically Image Vis. Comput. 26 2008 843 850 (Pubitemid 351418066)
41. H. Gao, Y. Zhang, S. Liang, and D. Li A new chaotic algorithm for image encryption Chaos Solitons Fractals 29 2006 393 399 (Pubitemid 43152206)
42. H. Liu, X, Wang, Color image encryption based on one-time keys and robust chaotic maps, Comput. Math. Appl. 59 (10) 33203327.
43. M.A. Jafarizadeh, and S. Behnia Hierarchy of chaotic maps with an invariant measure and their compositions J. Nonlinear Math. Phys. 9 1 2002 1 16
44. M.A. Jafarizadeh, and S. Behnia Hierarchy of chaotic maps with an invariant measure and their coupling Physica D 159 2001 1 21 (Pubitemid 32975772)
45. A.N. Pisarchik, and M. Zanin Image encryption with chaotically coupled chaotic maps Physica D 237 2008 2638 2648