Hybrid Ciphering System of Images based on Fractional Fourier Transform and Two Chaotic Maps

paper presents a new implementation of a hybrid ciphering system of images in Fourier domain based on two chaotic maps. The first map is the Bakermap,which is used to scramble the image pixels in three modes of operation (CBC, CFB and OFB). The second map is the logistic map,whose secret key depends on the plain text. In the key generation step of the logistic map, the chaotic stream is generated with plain text and hence the relation between the key and the plain text is established. We use Fractional Fourier Transform (FrFT) before the encryption to achieve a large degree of randomization. We examine the proposed algorithm and compare the results with the RC6 algorithm. The performance and security analysis prove that this hybrid ciphering system is efficient, reliable, and can effectively resist different attacks.

[1]  Elsayed A. Sallam,et al.  Efficient transmission of 1D and 2D chaotic map encrypted images with orthogonal frequency division multiplexing , 2011, International Conference on Graphic and Image Processing.

[2]  Guanrong Chen,et al.  A Novel Fast Image Encryption Scheme Based on 3D Chaotic Baker Maps , 2004, Int. J. Bifurc. Chaos.

[3]  Luís B. Almeida,et al.  The fractional Fourier transform and time-frequency representations , 1994, IEEE Trans. Signal Process..

[4]  Vinod Patidar,et al.  A new substitution–diffusion based image cipher using chaotic standard and logistic maps , 2009 .

[5]  Guanrong Chen,et al.  On the security of a class of image encryption schemes , 2008, 2008 IEEE International Symposium on Circuits and Systems.

[6]  X. Liao,et al.  An image encryption approach based on chaotic maps , 2005 .

[7]  Osama M. Abu Zaid,et al.  Quality of Encryption Measurement of Bitmap Images with RC6, MRC6, and Rijndael Block Cipher Algorithms , 2007, Int. J. Netw. Secur..

[8]  Shujun Li,et al.  Analyses and New Designs of Digital Chaotic Ciphers , 2003 .

[9]  Chuan Zhou,et al.  A Color Image Encryption Algorithm Based on Magic Cube Transformation and Modular Arithmetic Operation , 2005, PCM.

[10]  Sun,et al.  Chaotic Image Encryption Algorithm by Correlating Keys with Plaintext , 2012 .

[11]  Zhang Xing,et al.  Chaotic Image Encryption Based on Running-Key Related to Plaintext , 2014, TheScientificWorldJournal.

[12]  J. Fridrich Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .