Vulnerability to ciphertext-only attack of optical encryption scheme based on double random phase encoding.

We demonstrate in this paper that the traditional double random phase encoding (DRPE) technique is vulnerable to ciphertext-only attack (COA). In this method, an unauthorized user (or say attacker) is assumed to be able to retrieve the corresponding plaintext from the only ciphertext under some certain condition. The proposed scheme mainly relies on a hybrid iterative phase retrieval (HIPR) algorithm, which combines various phase retrieval algorithms. With an estimation of the number of nonzero pixels (NNP) in the original plaintext, an attacker could recover the plaintext in a large extent. The simulation results show that this method is feasible and validate.

[1]  C T Koch,et al.  Iterative phase retrieval without support. , 2004, Optics letters.

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

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

[4]  B Javidi,et al.  Encrypted optical memory system using three-dimensional keys in the Fresnel domain. , 1999, Optics letters.

[5]  Haifeng He Simple constraint for phase retrieval with high efficiency. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Ran Tao,et al.  Double image encryption based on random phase encoding in the fractional Fourier domain. , 2007, Optics express.

[7]  Heinz H. Bauschke,et al.  Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

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

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

[10]  S Liu,et al.  Optical image encryption based on multifractional Fourier transforms. , 2000, Optics letters.

[11]  John T. Sheridan,et al.  Analysis of phase encoding for optical encryption , 2009 .

[12]  Zhengjun Liu,et al.  A new kind of double image encryption by using a cutting spectrum in the 1-D fractional Fourier transform domains , 2009 .

[13]  Bahram Javidi,et al.  Advances in optical security systems , 2014 .

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

[15]  Unnikrishnan Gopinathan,et al.  Key-space analysis of double random phase encryption technique. , 2007, Applied optics.

[16]  G. Oszlányi,et al.  Ab initio structure solution by charge flipping. , 2003, Acta crystallographica. Section A, Foundations of crystallography.

[17]  Bahram Javidi,et al.  Optical encryption using a joint transform correlator architecture , 2000 .

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

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

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

[21]  Jesús Lancis,et al.  Optical encryption based on computational ghost imaging. , 2010, Optics letters.

[22]  Muhammad Rafiq Abuturab,et al.  Color image security system based on discrete Hartley transform in gyrator transform domain , 2013 .

[23]  Li Yu,et al.  Optical image encryption by cascaded fractional Fourier transforms with random phase filtering , 2001 .

[24]  Xiang Peng,et al.  Vulnerability to known-plaintext attack of optical encryption schemes based on two fractional Fourier transform order keys and double random phase keys , 2009 .

[25]  Huijuan Li,et al.  Double-image encryption based on iterative gyrator transform , 2008 .

[26]  Jingjuan Zhang,et al.  Position multiplexing for multiple-image encryption , 2006 .

[27]  M. Hayes The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform , 1982 .

[28]  Zhengjun Liu,et al.  Triple image encryption scheme in fractional Fourier transform domains , 2009 .

[29]  Osamu Matoba,et al.  Optical Techniques for Information Security , 2009, Proceedings of the IEEE.

[30]  J S Wu,et al.  Reconstruction of complex single-particle images using charge-flipping algorithm. , 2005, Acta crystallographica. Section A, Foundations of crystallography.

[31]  Zhengjun Liu,et al.  Double image encryption based on iterative fractional Fourier transform , 2007 .

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

[33]  Chuang Lin,et al.  Image encryption by encoding with a nonuniform optical beam in gyrator transform domains. , 2010, Applied optics.

[34]  Jingjuan Zhang,et al.  Multiple-image encryption by wavelength multiplexing. , 2005, Optics letters.

[35]  James R. Fienup,et al.  Improved bounds on object support from autocorrelation support and application to phase retrieval , 1990 .

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

[37]  Peng Xiang,et al.  Ciphertext-only attack on double random phase encoding optical encryption system , 2007 .

[38]  Zhengjun Liu,et al.  Image encryption scheme by using iterative random phase encoding in gyrator transform domains , 2011 .

[39]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

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

[41]  Kehar Singh,et al.  Double random fractional Fourier domain encoding for optical security , 2000 .

[42]  B. Javidi,et al.  Encrypted optical storage with wavelength-key and random phase codes. , 1999, Applied optics.

[43]  Wenqi He,et al.  A hybrid strategy for cryptanalysis of optical encryption based on double-random phase–amplitude encoding , 2012 .

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