Improving Security of Double Random Phase Encoding with Chaos Theory using Fractal Images

This study presents a new method based on the combination of cryptography and information hiding methods. Firstly, the image is encoded by the Double Random Phase Encoding (DRPE) technique. The real and imaginary parts of the encoded image are subsequently embedded into an enlarged normalized host image. DRPE demands two random phase mask keys to decode the decrypted image at the destination. The two random phase masks are regenerated by the chaos theory using a fractal image. To enhance its security, instead of sending the second phase mask directly, the initial conditions and the parameter of the chaotic map and the fractal image are transferred to the authorized user through a secure channel. Experimental results reveal that the proposed method not only enjoys high security but also resists the commonplace attacks. Normal 0 false false false EN-US X-NONE AR-SA /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin-top:0in; mso-para-margin-right:0in; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0in; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;}

[1]  Li Fu,et al.  Increasing the data hiding capacity and improving the security of a double-random phase-encoding technique based information hiding scheme , 2009 .

[2]  Lu Xi,et al.  Information hiding based on double random-phase encoding and public-key cryptography. , 2009, Optics express.

[3]  Narendra Singh,et al.  Optical image encryption using fractional Fourier transform and chaos , 2008 .

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

[5]  Myrian Tebaldi,et al.  Double random phase encoding method using a key code generated by affine transformation , 2011 .

[6]  Hu Jian-ping,et al.  A method for hiding information utilizing double-random phase-encoding technique , 2007 .

[7]  Mark Braverman Hyperbolic Julia Sets are Poly-Time Computable , 2005, Electron. Notes Theor. Comput. Sci..

[8]  Jianguo Chen,et al.  Information hiding based on double-random phase encoding technology , 2006 .

[9]  Jingjuan Zhang,et al.  A cascaded iterative Fourier transform algorithm for optical security applications , 2003 .

[10]  Li Fu,et al.  Security analysis and improvement on a double-random phase-encoding technique based information hiding method , 2009 .

[11]  Guanrong Chen,et al.  A chaos-based image encryption algorithm with variable control parameters , 2009 .

[12]  X. F. Meng,et al.  Image watermarking based on an iterative phase retrieval algorithm and sine–cosine modulation in the discrete-cosine-transform domain , 2007 .

[13]  Aloka Sinha,et al.  Digital image watermarking using gyrator transform and chaotic maps , 2010 .

[14]  Yuan Sheng,et al.  An improved method to enhance the security of double random-phase encoding in the Fresnel domain , 2012 .

[15]  Wang Xing-yuan,et al.  Fractal image compression based on spatial correlation and hybrid genetic algorithm , 2009 .

[16]  Ha-Sung Koo,et al.  Digital image encryption method using interleaving and random shuffling , 2006 .

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

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

[19]  Bahram Javidi,et al.  Optical and Digital Techniques for Information Security , 2004 .