Asymmetric hybrid encryption scheme based on modified equal modulus decomposition in hybrid multi-resolution wavelet domain

ABSTRACT In this paper, an asymmetric hybrid encryption scheme, using coherent superposition and modified equal modulus decomposition in a hybrid multi-resolution wavelet, is proposed. The hybrid multi-resolution wavelet is generated using fractional Fourier transform of multiple orders and Walsh transform. The fractional orders of the fractional Fourier transform increase the key space and hence provide additional strength to the cryptosystem. The designed scheme has a large key space to avoid brute-force attack and is non-linear in nature. The scheme is validated on grey-scale images. Computer-based simulations have been performed to verify the validity and performance of the proposed scheme against various attacks. Scheme's robustness to the special attack is also checked. Results show that single equal modulus decomposition with fractional Fourier transform and hybrid transform are vulnerable to the special attack, whereas the proposed scheme endures the special attack.

[1]  Jingjuan Zhang,et al.  Double random-phase encoding in the Fresnel domain. , 2004, Optics letters.

[2]  Linfei Chen,et al.  Optical image encryption with Hartley transforms. , 2006, Optics letters.

[3]  Peng Zhang,et al.  Known-plaintext attack on optical encryption based on double random phase keys. , 2006, Optics letters.

[4]  Xiang Peng,et al.  Universal and special keys based on phase-truncated Fourier transform. , 2011, Optical engineering.

[5]  Kehar Singh,et al.  Securing information using fractional Fourier transform in digital holography [rapid communication] , 2004 .

[6]  Naveen K Nishchal,et al.  Known-plaintext attack-based optical cryptosystem using phase-truncated Fresnel transform. , 2013, Applied optics.

[7]  Alex Biryukov,et al.  Chosen Ciphertext Attack , 2005, Encyclopedia of Cryptography and Security.

[8]  Alex Biryukov Known plaintext attack , 2005, Encyclopedia of Cryptography and Security.

[9]  Ting-Chung Poon,et al.  Introduction to Modern Digital Holography: With Matlab , 2014 .

[10]  Le Wang,et al.  High performance optical encryption based on computational ghost imaging with QR code and compressive sensing technique , 2015 .

[11]  Bahram Javidi,et al.  Polarization encoding for optical security systems , 2000 .

[12]  B Javidi,et al.  Optical image encryption based on input plane and Fourier plane random encoding. , 1995, Optics letters.

[13]  Zhihong Zhou,et al.  Image compression–encryption scheme based on hyper-chaotic system and 2D compressive sensing , 2016 .

[14]  Isha Mehra,et al.  Image fusion using wavelet transform and its application to asymmetric cryptosystem and hiding. , 2014, Optics express.

[15]  Unnikrishnan Gopinathan,et al.  A known-plaintext heuristic attack on the Fourier plane encryption algorithm. , 2006, Optics express.

[16]  Cagatay Candan,et al.  The discrete fractional Fourier transform , 2000, IEEE Trans. Signal Process..

[17]  Bahram Javidi,et al.  Optical encryption using photon-counting polarimetric imaging. , 2015, Optics express.

[18]  B Javidi,et al.  Optoelectronic information encryption with phase-shifting interferometry. , 2000, Applied optics.

[19]  Li-Hua Gong,et al.  Novel optical image encryption scheme based on fractional Mellin transform , 2011 .

[20]  Xiaogang Wang,et al.  A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms , 2012 .

[21]  Daomu Zhao,et al.  Amplitude-phase retrieval attack free cryptosystem based on direct attack to phase-truncated Fourier-transform-based encryption using a random amplitude mask. , 2013, Optics letters.

[22]  Tuo Li,et al.  Security risk of diffractive-imaging-based optical cryptosystem. , 2015, Optics express.

[23]  Lihua Gong,et al.  Quantum image encryption based on generalized Arnold transform and double random-phase encoding , 2015, Quantum Information Processing.

[24]  Muhammad Rafiq Abuturab,et al.  Asymmetric cryptosystem using coherent superposition and equal modulus decomposition of fractional Fourier spectrum , 2016 .

[25]  Pengfei Li,et al.  Image encryption by using gyrator transform and Arnold transform , 2011, J. Electronic Imaging.

[26]  Xueju Shen,et al.  Modified optical asymmetric image cryptosystem based on coherent superposition and equal modulus decomposition , 2017 .

[27]  X C Cheng,et al.  Security enhancement of double-random phase encryption by amplitude modulation. , 2008, Optics letters.

[28]  Xudong Chen,et al.  Optical image encryption based on diffractive imaging. , 2010, Optics letters.

[29]  S Liu,et al.  Optical image encryption with multistage and multichannel fractional Fourier-domain filtering. , 2001, Optics letters.

[30]  Ching-Mu Chen,et al.  Lensless multiple-image optical encryption based on improved phase retrieval algorithm. , 2012, Applied optics.

[31]  Naveen K. Nishchal,et al.  Known-plaintext attack on encryption domain independent optical asymmetric cryptosystem , 2013 .

[32]  Ming Lei,et al.  Asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition. , 2015, Optics letters.

[33]  Xiaogang Wang,et al.  Security enhancement of a phase-truncation based image encryption algorithm. , 2011, Applied optics.

[34]  John T. Sheridan,et al.  Optical image encryption by random shifting in fractional Fourier domains. , 2003, Optics letters.

[35]  Daomu Zhao,et al.  Multiple-image encryption using phase retrieve algorithm and intermodulation in Fourier domain , 2012 .

[36]  Isha Mehra,et al.  Optical image encryption using equal modulus decomposition and multiple diffractive imaging , 2016 .

[37]  Tanuja Sarode,et al.  A new multi-resolution hybrid wavelet for analysis and image compression , 2015 .

[38]  B. Dickinson,et al.  Eigenvectors and functions of the discrete Fourier transform , 1982 .

[39]  Myungjin Cho,et al.  Three-dimensional photon counting double-random-phase encryption. , 2013, Optics letters.

[40]  Yong Wang,et al.  Improved method of attack on an asymmetric cryptosystem based on phase-truncated Fourier transform. , 2015, Applied optics.

[41]  Bahram Javidi,et al.  Resistance of the double random phase encryption against various attacks. , 2007, Optics express.

[42]  Zhengjun Liu,et al.  Asymmetric cryptosystem using random binary phase modulation based on mixture retrieval type of Yang-Gu algorithm. , 2013, Optics letters.

[43]  Aneeta Yadav,et al.  Asymmetric encryption algorithm for colour images based on fractional Hartley transform , 2019 .

[44]  Muhammad Rafiq Abuturab Group multiple-image encoding and watermarking using coupled logistic maps and gyrator wavelet transform. , 2015, Journal of the Optical Society of America. A, Optics, image science, and vision.

[45]  B Javidi,et al.  Securing information by use of digital holography. , 2000, Optics letters.

[46]  Xiang Peng,et al.  Asymmetric cryptosystem based on phase-truncated Fourier transforms. , 2010, Optics letters.

[47]  Xiaopeng Deng,et al.  Asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition: comment. , 2015, Optics letters.

[48]  Yixiang Chen,et al.  Discussion and a new attack of the optical asymmetric cryptosystem based on phase-truncated Fourier transform. , 2014, Applied optics.

[49]  Hang Chen,et al.  Asymmetric optical cryptosystem for color image based on equal modulus decomposition in gyrator transform domains , 2017 .

[50]  Daomu Zhao,et al.  Simultaneous nonlinear encryption of grayscale and color images based on phase-truncated fractional Fourier transform and optical superposition principle. , 2013, Applied optics.

[51]  G. Unnikrishnan,et al.  Optical encryption by double-random phase encoding in the fractional Fourier domain. , 2000, Optics letters.

[52]  A. Lohmann Image rotation, Wigner rotation, and the fractional Fourier transform , 1993 .

[53]  Di Wang,et al.  Image compression and encryption scheme based on 2D compressive sensing and fractional Mellin transform , 2015 .