Symmetric and asymmetric hybrid cryptosystem based on compressive sensing and computer generated holography

Abstract A novel symmetric and asymmetric hybrid optical cryptosystem is proposed based on compressive sensing combined with computer generated holography. In this method there are six encryption keys, among which two decryption phase masks are different from the two random phase masks used in the encryption process. Therefore, the encryption system has the feature of both symmetric and asymmetric cryptography. On the other hand, because computer generated holography can flexibly digitalize the encrypted information and compressive sensing can significantly reduce data volume, what is more, the final encryption image is real function by phase truncation, the method favors the storage and transmission of the encryption data. The experimental results demonstrate that the proposed encryption scheme boosts the security and has high robustness against noise and occlusion attacks.

[1]  Yaakov Tsaig,et al.  Breakdown of equivalence between the minimal l1-norm solution and the sparsest solution , 2006, Signal Process..

[2]  Zhiyong Xu,et al.  Digital image information encryption based on Compressive Sensing and double random-phase encoding technique , 2013 .

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

[4]  Hsuan T Chang,et al.  Image multiplexing and encryption using the nonnegative matrix factorization method adopting digital holography. , 2017, Applied optics.

[5]  Wei Wen,et al.  Optical multiple-image encryption based on fully phase encoding and interference , 2015 .

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

[7]  Naveen K. Nishchal,et al.  Known plain-text attack on asymmetric cryptosystem , 2013, Optical Engineering + Applications.

[8]  Guowei Li,et al.  Cyphertext-only attack on the double random-phase encryption: Experimental demonstration. , 2017, Optics express.

[9]  R. M. Willett,et al.  Compressed sensing for practical optical imaging systems: A tutorial , 2011, IEEE Photonics Conference 2012.

[10]  T. Nomura,et al.  Single-exposure phase-shifting digital holography using a random-complex-amplitude encoded reference wave. , 2013, Applied optics.

[11]  J. Romberg,et al.  Imaging via Compressive Sampling , 2008, IEEE Signal Processing Magazine.

[12]  Ran Tao,et al.  Optical image encryption based on the multiple-parameter fractional Fourier transform. , 2008, Optics letters.

[13]  Yongtian Wang,et al.  Optical image encryption based on interference of polarized light. , 2009, Optics express.

[14]  Li-Hua Gong,et al.  Novel color image encryption algorithm based on the reality preserving fractional Mellin transform , 2012 .

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

[16]  Chenggong Zhang,et al.  Vulnerability to ciphertext-only attack of optical encryption scheme based on double random phase encoding. , 2015, Optics express.

[17]  Zeev Zalevsky,et al.  New key based on tilted lenses for optical encryption , 2017 .

[18]  Linfei Chen,et al.  Phase retrieval encryption in an enhanced optical interference by key phase constraint. , 2015, Applied optics.

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

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

[21]  Bahram Javidi,et al.  Three-dimensional scene encryption and display based on computer-generated holograms. , 2016, Applied optics.

[22]  Yaakov Tsaig,et al.  Extensions of compressed sensing , 2006, Signal Process..

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

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

[25]  Jian Liu,et al.  Optical color image encryption based on computer generated hologram and chaotic theory , 2013 .

[26]  Huiqian Du,et al.  Simultaneous image compression, fusion and encryption algorithm based on compressive sensing and chaos , 2016 .

[27]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

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

[29]  Peng Zhang,et al.  Chosen-plaintext attack on lensless double-random phase encoding in the Fresnel domain. , 2006, Optics letters.

[30]  Quanying Wu,et al.  Information encryption in phase space. , 2015, Optics letters.

[31]  Xiaodong Lv,et al.  Interference-based image encryption with silhouette removal by aid of compressive sensing , 2016 .

[32]  Kazuya Nakano,et al.  Key-length analysis of double random phase encoding. , 2017, Applied optics.

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

[34]  Jianhua Wu,et al.  Novel hybrid image compression–encryption algorithm based on compressive sensing , 2014 .

[35]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[36]  Yong Wang,et al.  New method of attack and security enhancement on an asymmetric cryptosystem based on equal modulus decomposition. , 2016, Applied optics.

[37]  Xin Yang,et al.  Optical encryption of three-dimensional information with digital holography , 2014, Photonics Asia.

[38]  Bo Wang,et al.  Optical image encryption based on interference. , 2008, Optics letters.

[39]  Bahram Javidi,et al.  Double-random-phase encryption with photon counting for image authentication using only the amplitude of the encrypted image. , 2016, Journal of the Optical Society of America. A, Optics, image science, and vision.

[40]  Jun Lang.  Image encryption based on the reality-preserving multiple-parameter fractional Fourier transform , 2012 .

[41]  C. Niu,et al.  An encryption method with multiple encrypted keys based on interference principle. , 2010, Optics express.

[42]  Arturo Carnicer,et al.  Vulnerability to chosen-cyphertext attacks of optical encryption schemes based on double random phase keys. , 2005, Optics letters.