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Image encryption based on modified Henon map using hybrid chaotic shift transform

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Abstract

In this paper, a new two dimensional modified Henon map (2D-MHM) which is derived from Henon map is proposed. Its chaotic performance is analyzed through bifurcation diagram, Lyapunov exponent spectrum and Lyapunov dimension. The map has broad chaotic regime over an extensive range of system parameters, maximum Lyapunov exponent and better chaotic performance when compared to existing chaotic maps. Further, a novel image cryptosystem is proposed based on 2D-MHM and sine map. The algorithm employs confusion and diffusion operations in consecutive manner which is different from traditional chaos based cryptosystems. Hybrid chaotic shift transform (HCST) is introduced to perform confusion operation which is controlled by 2D-MHM. The principle of diffusion is achieved by using chaotic matrix generated from sine map and exclusive or (XOR) operation. Extensive simulation results and performance analysis demonstrate that the proposed image cryptosystem is able to resist various cryptanalytic attacks. Furthermore, the comparison results reveal that the algorithm outperforms traditional and existing encryption schemes. The proposed algorithm is also applicable for speech signals and data encryption of other multimedia.

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Abbreviations

2D-MHM:

Two dimensional modified Henon map

HCST:

Hybrid chaotic shift transform

XOR:

Exclusive or

LFSR:

Linear feedback shift register

AES:

Advanced encryption standard

DES:

Data encryption standard

T-DES:

Triple DES

1D:

One dimensional

HD:

Higher dimension

HM:

Henon map

SM:

Sine map

LE:

Lyapunov exponent

LD:

Lyapunov dimension

NPCR:

Number of pixels change rate;

UACI:

Unified average changing intensity

UIQ:

Unified image quality index

SSIM:

Structural similarity index measure

PSNR:

Peak signal to noise ratio

References

  1. Alligood KT, Sauer TD, Yorke JA (1997) Chaos: an introduction to dynamic systems. Textbooks in Mathematical Sciences Springer, New York

    Book  MATH  Google Scholar 

  2. Alvarez G, Li S (2006) Some basic cryptographic requirements for chaos-based cryptosystems. Int J Bifurcat Chaos 16(8):2129–2151

    Article  MathSciNet  MATH  Google Scholar 

  3. Bakhache B, Ghazal JM, El Assad S (2014) Improvement of the security of zigbee by a new chaotic algorithm. IEEE Syst J 8(4):1024–1033

    Article  Google Scholar 

  4. Boriga R, Dsclescu AC, Diaconu AV (2014) A new one-dimensional chaotic map and its use in a novel real-time image encryption scheme. Adv in Mult Article ID 409586

  5. Chen JX, Zhu ZL, Fu C, Yu H, Zhang LB (2015) A fast chaos-based image encryption scheme with a dynamic state variables selection mechanism. Commun Nonlinear Sci Numer Simul 20(3):846–860

    Article  Google Scholar 

  6. El-Latif AAA, Li L, Zhang T et al (2012) Digital image encryption scheme based on multiple chaotic systems. Sens Imaging 13(2):67–88

    Article  Google Scholar 

  7. Elkamchouchi HM, Makar MA (2005) Measuring encryption quality for bitmap images encrypted with rijndael and kamkar block ciphers [C]. In: 2005 National conference on IEEE radio science (NRSC), pp 277–284

  8. Enayatifar R, Sadaei HJ, Abdullah AH, Lee M, Isnin If (2015) A novel chaotic based image encryption using a hybrid model of deoxyribonucleic acid and cellular automata. Opt Laser Eng 71:33–41

    Article  Google Scholar 

  9. Faragallah OS (2011) Digital image encryption based on the RC5 block cipher algorithm. Sens Imaging 12(3):73–94

    Article  Google Scholar 

  10. Fridrich J (1998) Symmetric ciphers based on two-dimensional chaotic maps. Int J Bifurcation Chaos 8:1259–1284

    Article  MathSciNet  MATH  Google Scholar 

  11. Galizzi GE, Cuadrado-Laborde C (2015) Joint transform correlator optical encryption system: extensions of the recorded encrypted signal and its inverse Fourier transform. Opt Commun 353:76–82

    Article  Google Scholar 

  12. Gallas JA (1993) Structure of the parameter space of the Henon map. Phys Rev Lett 70(18):2714

    Article  Google Scholar 

  13. Habutsu T, Nishio Y, Sasase I, Mori S (1991) A secret key cryptosystem by iterating a chaotic map. In: Davies D (ed) Advances in cryptology - EUROCRYPT’91 lecture notes in computer science, vol 547. Springer, Berlin, pp 127–140

  14. Hanchinamani G, Kulkarni L (2015) An efficient image encryption scheme based on a Peter De Jong chaotic map and a RC4 stream cipher. 3D Res 6(3):1–15

    Article  Google Scholar 

  15. Henon M (1976) A two-dimensional mapping with a strange attractor. In: The theory of chaotic attractors. Springer, New York, pp 94–102

  16. Hu T, Liu Y, Gong LH et al (2017) Chaotic image cryptosystem using DNA deletion and DNA insertion. Signal Process 134:234–243

    Article  Google Scholar 

  17. Hua Z, Zhou Y, Chen CP (2013) A new series-wound framework for generating 1D chaotic maps [C]. In: 2013 International conference on IEEE digital signal processing and signal processing education meeting (DSP/SPE), pp 118–123

  18. Huang CK, Liao CW, Hsu SL, Jeng YC (2013) Implementation of gray image encryption with pixel shuffling and gray-level encryption by single chaotic system. Telecommun Syst 52(2):1–9

    Google Scholar 

  19. Kanafchian M, Fathi-Vajargah B (2017) A novel image encryption scheme based on clifford attractor and noisy logistic map for secure transferring images in navy. Int J e-Navi Maritime Econ 6:53–63

    Google Scholar 

  20. Kocarev L (2001) Chaos-based cryptography: a brief overview. IEEE Circuits Syst Mag 1(3):6–21

    Article  MathSciNet  Google Scholar 

  21. Kokkonis G, Psannis KE, Roumeliotis M, Schonfeld D (2017) Real-time wireless multisensory smart surveillance with 3D-HEVC streams for internet-of-things (IoT). J Supercomput 73(3):1044–1062

    Article  Google Scholar 

  22. Li C, Liu Y, Zhang LY, Chen MZ (2013) Breaking a chaotic image encryption algorithm based on modulo addition and XOR operation. Int J Bifurcat Chaos 23(4):1350075

    Article  MathSciNet  MATH  Google Scholar 

  23. Liu W, Sun K, Zhu C (2016) A fast image encryption algorithm based on chaotic map. Opt Lasers Eng 84:26–36

    Article  Google Scholar 

  24. Liu H, Kadir A, Sun X (2017) Chaos-based fast colour image encryption scheme with true random number keys from environmental noise. IET Image Process 11(5):324–332

    Article  Google Scholar 

  25. Machkour M, Saaidi A, Benmaati ML (2015) A novel image encryption algorithm based on the two-dimensional logistic map and the latin square image cipher. 3D Res 6(4):36

    Article  Google Scholar 

  26. Mandal MK, Banik GD, Chattopadhyay D, Nandi D (2012) An image encryption process based on chaotic logistic map. IETE Tech Rev 29(5):395–404

    Article  Google Scholar 

  27. Matthews R (1989) On the derivation of a chaotic encryption algorithm. Cryptologia 13(1):29–42

    Article  MathSciNet  Google Scholar 

  28. Mehra I, Nishchal NK (2015) Optical asymmetric image encryption using gyrator wavelet transform. Opt Commun 354:344–352

    Article  Google Scholar 

  29. Memos VA, Psannis KE, Ishibashi Y, Kim BG, Gupta BB (2017) An efficient algorithm for media-based surveillance system (EAMSuS) in IoT smart city framework. Future Gener Comput Syst

  30. Pareek NK (2012) Design and analysis of a novel digital image encryption scheme. Int J Netw Secur Appl 4(2):95–108

    Google Scholar 

  31. Schneier B (1996) Applied cryptography, protocols, algorithms and source code in C. Wiley, New York

    MATH  Google Scholar 

  32. Shannon CE (1949) Communication theory of secrecy systems. Bell Labs Techn J 28(4):656–715

    Article  MathSciNet  MATH  Google Scholar 

  33. Sheela SJ, Suresh KV, Tandur D (2016) Performance evaluation of modified Henon map in image encryption. In: Ray I, Gaur M, Conti M, Sanghi D, Kamakoti V (eds) Information systems security (ICISS) lecture notes in computer science, vol 10063. Springer, pp 225–240

  34. Sheela SJ, Suresh KV, Tandur D (2017) A novel audio cryptosystem using chaotic maps and DNA encoding. J Comput Netw Comm, Article ID 2721910

  35. Sun F, Liu S, Li Z, Lu Z (2008) A novel image encryption scheme based on spatial chaos map. Chaos, Solitons and Fractals 38(3):631–640

    Article  MathSciNet  MATH  Google Scholar 

  36. Tong XJ, Zhang M, Wang Z, Liu Y, Ma J (2015) An image encryption scheme based on a new hyper-chaotic finance system. Optik-Int J Light Electron Opt 126(20):2445–2452

    Article  Google Scholar 

  37. Wang Z, Bovik AC (2002) A universal image quality index. IEEE Signal Process Lett 9(3):81–84

    Article  Google Scholar 

  38. Wang XY, Wang Q (2014) A fast image encryption algorithm based on only blocks in cipher text. Chin Phys B 23(3):030503

    Article  Google Scholar 

  39. Wang Z, Bovik AC, Sheikh HR, Simoncelli EP (2004) Image quality assessment: from error visibility to structural similarity. IEEE Trans Image Process 13 (4):600–612

    Article  Google Scholar 

  40. Wang X, Wang Q, Zhang Y (2015) A fast image algorithm based on rows and columns switch. Nonlinear Dyn 79(2):1141–1149

    Article  MathSciNet  Google Scholar 

  41. Wu Y, Yang G, Jin H, Noonan JP (2012) Image encryption using the two-dimensional logistic chaotic map. J Electron Imaging 21(1):013014–1

    Article  Google Scholar 

  42. Xie J, Yang C, Xie Q, Tian L (2009) An encryption algorithm based on transformed logistic map [C]. In: 2009 International conference on IEEE networks security wireless communications and trusted computing (NSWCTC), pp 111–114

  43. Xu L, Li Z, Li J, Hua W (2016) A novel bit-level image encryption algorithm based on chaotic maps. Opt Lasers Eng 78:17–25

    Article  Google Scholar 

  44. Xue X, Zhang Q, Wei X et al (2010) A digital image encryption algorithm based on DNA sequence and multi-chaotic maps. Neural Netw World 20(3):285

    Google Scholar 

  45. Ye G (2010) Image scrambling encryption algorithm of pixel bit based on chaos map. Pattern Recogn Lett 31(5):347–354

    Article  Google Scholar 

  46. Yuan HM, Liu Y, Gong LH, Wang J (2017) A new image cryptosystem based on 2D hyper-chaotic system. Multimed Tools Appl 76(6):8087–8108

    Article  Google Scholar 

  47. Zhang XP, Zhao ZM (2014) Chaos-based image encryption with total shuffling and bidirectional diffusion. Nonlinear Dyn 75(1–2):319–330

    Article  Google Scholar 

  48. Zhang LY, Hu X, Liu Y, Wong KW, Gan J (2014) A chaotic image encryption scheme owning temp-value feedback. Commun Nonlinear Sci Numer Simul 19(10):3653–3659

    Article  MathSciNet  Google Scholar 

  49. Zhang Q, Liu L, Wei XP (2014) Improved algorithm for image encryption based on DNA encoding and multi-chaotic maps. AEU Int J Electron Commun 68(3):186–192

    Article  Google Scholar 

  50. Zhang X, Mao Y, Zhao Z (2014) An efficient chaotic image encryption based on alternate circular S-boxes. Nonlinear Dyn 78(1):359–369

    Article  Google Scholar 

  51. Zhou Y, Bao L, Chen CP (2013) Image encryption using a new parametric switching chaotic system. Signal Process 93(11):3039–3052

    Article  Google Scholar 

  52. Ziedan IE, Fouad MM, Salem DH (2003) Application of data encryption standard to bitmap and JPEG images [C]. In: 2003 National conference on IEEE radio science (NRSC), pp 16–1

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Author information

Authors and Affiliations

  1. Siddaganga Institute of Technology, Tumakuru, Karnataka, 572103, India

    S. J. Sheela & K. V. Suresh

  2. Corporate Research India, ABB, Bengaluru, Karnataka, 560048, India

    Deepaknath Tandur

Authors
  1. S. J. Sheela
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  2. K. V. Suresh
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  3. Deepaknath Tandur
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Correspondence to S. J. Sheela.

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Sheela, S.J., Suresh, K.V. & Tandur, D. Image encryption based on modified Henon map using hybrid chaotic shift transform. Multimed Tools Appl 77, 25223–25251 (2018). https://doi.org/10.1007/s11042-018-5782-2

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