Submit Article

Asian Journal of Physics Vol. 28, No 1 (2019) 43-61

An approach to image security enhancement using asymmetric cryptosystem based on combination of Transforms using hybrid structured phase mask deploying single value decomposition

Poonam Lata Yadav1 and Hukum Singh2
1Department of Applied Sciences, Singhania University, Pacheri Beri-333 517 , Rajasthan. India
2Department of Applied Sciences, TheNorth Cap University, Gurgaon-122 117, India

To boost the safety of any cryptosystem and to safeguard it from any attackers, this paper offers a innovative asymmetric cryptosystem based on amalgamation of two different transforms namely Fourier (FT) and Fractional Hartley transform (FrHT). In this cryptosystem a new Hybrid Structured Phase Mask (HSPM) is used along with Random Phase Mask (RPM). HSPM is generated by merging Structured Phase Mask (SPM) and the Hybrid Mask (HM). The HSPM and RPM are used as the encoding keys in the asymmetric system and the decryption keys generated during encryption are reserved as the decoding keys. The usage of this new mask HSPM helps in enhancing key space as a result helps in overcoming problems related to axis alignment. Decoding is exactly the reverse of the encoding mode. The competence of the suggested mode includes analysis using Single Value Decomposition (SVD), histogram, entropy and correlation coefficient. To analyze the performance of our proposed system our recommended cryptosystem is open to occlusion attack and noise attack. The robustness of the recommended system is analyzed and verified using MATLAB R2014 (8.3.0.532). The experimental consequences are delivered to focus the aptness and power of the proposed cryptosystem. © Anita Publications. All rights reserved.
Doi: 
Keywords: Fourier Transform, Fractional Hartley Transform, Asymmetric key algorithm, Hybrid Structured Phase Mask, Single Value Decomposition.

Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
Buy this Article in Print © Anita Publications. All rights reserve

References

  1. Matoba O, Nomura T, Perez-Cabre E, Millan M S, Javidi B, Optical techniques forinformation security, Proc IEEE, 97(2009)1128-1148.
  2. Javidi B, Carnicer A, Yamaguchi M, Nomura T, Pérez-Cabré E, Millán M S, Nishchal N K, Torroba R, Barrera J F, He W, Peng X, Stern A, Rivenson Y, Alfalou A, Brosseau C, Guo C, Sheridan J T, Situ G, Naruse M, Matsumoto T, Juvells I, Tajahuerce E, Lancis J, Chen W, Chen X, Pinkse Pepijn W H, Mosk A P, Markman A, Roadmap on optical security, J Opt, 18(2016)1-39.
  3. Refregier P, Javidi B, Optical image encryption based on input plane and Fourier plane random encoding, Opt Lett, 20(1995)767-769.
  4. Kumar P, Joseph J, Singh K, Double random phase encoding based optical encryption systems using some linear canonical transforms: Weaknesses and Countermeasures, Springer series in Optical Sciences, 198(2016)367-396.
  5. Unnikrishnan G, Singh K, Double random fractional Fourier domain encoding for optical security, Opt Eng, 39(2000)2853-2859.
  6. Rajput S K, Nischal N K, Image encryption based on interference that uses fractional Fourier domain asymmetric keys, Appl Opt, 51(2012)1446-1452.
  7. Dahiya M, Sukhija S, Singh H, “ Image encryption using Quad phase masks in fractional Fourier domain and Case study, 2014 IEEE International Advance Computing Conference (IACC); doi: 10.1109/IAdCC.2014.6779470.
  8. Garcia J, Mas D, Dorsch R G, Fractional-Fourier-transform calculation through the fast-Fourier transform algorithm, Appl Opt, 35(1996)7013-7018.
  9. Hennelly B M, Sheridan J T, Random phase and jigsaw encryption in the Fresnel domain, Opt Eng, 43(2004)2239; doi:10.1117/1.1790502.
  10. Situ G, Zhang J, Double random- phase encoding in the Fresnel domain, Opt Lett, 29(2004)1584-1586.
  11. Rajput S K, Nischal N K, Fresnel domain nonlinear optical encryption scheme  based on Gerchberg-Saxton phase retreival algorithm, Appl Opt, 53(2014)418-425.
  12. Singh H, Yadav A K, Vashisth S, Singh K, Optical image encryption using devil’s vortex toroidal lens in the Fresnel transform domain, Int J  Opt, Volume 2015, Article ID 926135, 13 pages, doi.org/10.1155/2015/926135.
  13. Rodrigo J A, Alieva T, Calvo M L, Gyrator Transform: properties and applications, Opt Express, 15(2007)2190- 2203.
  14. Pei S C, Ding J J, Properties, digital implementation, applications and self image phenomena of the gyrator transform, Proc 17th Eur Signal Process, (2009)441-445.
  15. Abuturab M R, Color image security system using double random structured phase encoding in gyrator transform domain, Appl Opt, 51(2012)3006-3016.
  16. Singh H, Yadav A K, Vashisth S, Singh K, Fully- phase image encryption using double random – structured phase masks in gyrator domain, Appl Opt, 53(2014)6472-6481.
  17. Singh H, Yadav A K, Vashisth S, Singh K, Double phase- image encryption using gyrator transforms, and Structured phase mask in the frequency plane, Opt Lasers Eng, 67(2015)145-56.
  18. Zhou N R, Wang Y, Gong L, Novel Optical image encryption scheme based on fractional Mellin transform, Opt Commun, 284(2011)3234-3242.
  19. Vashisth S, Singh H, Yadav A K, Singh K, Devil’s vortex phase structure as frequency plane mask for image encryption using the fractional Mellin transform, Int J Opt ,Volume 2014, Article ID 728056; doi.org/10.1155/2014/728056.
  20. Wu J, Zhang L, Zhou N, Image encryption based on the multiple order discrete fractional cosine transform, Opt Commun, 283(2010)1720-1725.
  21. Hartley R V L, A more symmetrical Fourier analysis applied to transmission problems, Proceedings IRE, 30(1942) 144-150.
  22. Chen L, Zhao D, Optical image encryption with Hartley transforms, Opt Lett, 31(2006)3438-3440.
  23. Zhao D, Li X, Chen L, Optical image encryption with redefined fractional Hartley transform, Opt Commun, 281 (2008)5326-5329.
  24. Singh H, Nonlinear optical double image encryption using random- optical vortex in fractional Hartley domain, Optica Applicata, 47(2017)557-578.
  25. Yadav P L, Singh H, Optical double image hiding in the fractional Hartley transform using structured phase filter and Arnold Transform, 3D Res, 9(2018)1-19.
  26. Vilardy J M, Torres C O, Jimenez C J, Double image encryption method using the Arnold transform in the fractional Hartley domain, Proc SPIE, 8785(2013); doi:10.1117/12.2022216.
  27. Girija R, Singh H, Enhancing security of double random phase encoding based on random S-Box, 3D Res, 9(2018) 1-20 .
  28. Zhou N, Dong T, Wu J, Novel image encryption algorithm based on multiple – parameter discrete fractional random transform, Opt Commun, 283(2010)3037-3042.
  29. Singh H, Optical cryptosystems of color images using random phase masks in fractional wavelet transform domain, AIP Conference Proceedings, 1728(2016); 020063-1/4.
  30. Carnicer A, Montes- Usategui M, Arcos S, Juvells I, Vulnerability to chosen-ciphertext attacks of optical encryption schemes based on double random phase keys, Opt Lett, 30(2005)1644-1646.
  31. Frauel Y, Castro A, Naughton T J, Javidi B, Resistance of the double random phase encryption against various attacks, Opt Express, 15(2007)10253-10265.
  32. Peng X, Zhang P, Wei H, Yu B, Known plaintext attack on optical encryption based on double random phase keys, Opt Lett, 31(2006)1044-1046.
  33. Rajput S K, Nishchal N K, Known plaintext attack on encryption domain independent optical Asymmetric cryptosystem, Opt Commun, 309(2013)231-235.
  34. Qin W, Peng X, Asymmetric cryptosystem based on phase truncated Fourier transforms, Opt Lett, 35(2010)118-
  35. Sinha A, Nonlinear optical cryptosystem resistant to standard and hybrid attacks, Lasers Eng, 81(2016)79-86.
  36. Khurana M, Singh H, An asymmetric image encryption based on Phase Truncated Hybrid Transform, 3D Res, 8 (2017)1-17.
  37. Rajput S K, Nishchal N, Asymmetric color cryptosystem using polarization selective diffractive optical element and structured phase mask, Appl Opt, 51(2012)5377- 5786.
  38. Singh H, Cryptosystem for securing image encryption using structured phase masks in Fresnel Wavelet transform domain, 3 D Res,7(2016)1-18; doi: 10.1007/s13319-016-0110-y
  39. Kumar R, Bhaduri B, Optical image encryption using Kronecker product and hybrid phase masks, Opt Lasers Eng, 95(2017)51-55.
  40. Barrera J F, Henao R, Torroba R, Fault tolerances using toroidal zone plate encryption, Opt Commun, 256(2000) 489-494.
  41. Davis J A, McNamara D E, Cottrell D M, Campos J, Image Processing with the radial Hilbert transform: theory and experiments, Opt Lett, 25(2000)99-101
  42. Joshi M, Shakher C, Singh K, Fractional fourier plane image encryption technique using radial Hilbert and Jigsaw transform, Opt Laser Eng, 48(2010)754-759.
  43. Chen L, Zhao D, F. Ge F, Image encryption based on singular value decomposition and Arnold transformin fractional domain, Opt Commun, 291(2013)98-103.
  44. Girija R, Singh H, A cryptosystem based on deterministic phase masks and fractional Fourier transform deploying singular value decomposition, Opt Quant. Electron, May 2018, 50:210; doi: 10.1007/s11082-018-1472-6.

Related Posts