C. Fu, J. J. Chen, H. Zou, W. H. Meng, Y. F. Zhan, and Y. W. Yu, “A chaos-based digital image encryption scheme with an improved diffusion strategy,” Opt. Express 20(3), 2363–2378 (2012).

[CrossRef]
[PubMed]

C. X. Zhu, “A novel image encryption scheme based on improved hyper chaotic sequences,” Opt. Commun. 285(1), 29–37 (2012).

[CrossRef]

X. J. Tong, “The novel bilateral - diffusion image encryption algorithm with dynamical compound chaos,” J. Syst. Software 85(4), 850–858 (2012).

[CrossRef]

W. Zhang, K. W. Wong, H. Yu, and Z. L. Zhu, “An image encryption scheme using lightweight bit-level confusion and cascade cross circular diffusion,” Opt. Commun. 285(9), 2343–2354 (2012).

[CrossRef]

C. Fu, B. B. Lin, Y. S. Miao, X. Liu, and J. J. Chen, “A novel chaos-based bit-level permutation scheme for digital image encryption,” Opt. Commun. 284(23), 5415–5423 (2011).

[CrossRef]

Z. L. Zhu, W. Zhang, K. W. Wong, and H. Yu, “A chaos-based symmetric image encryption scheme using a bit-level permutation,” Inf. Sci. 181(6), 1171–1186 (2011).

[CrossRef]

S. T. Liu and F. Y. Sun, “Spatial chaos-based image encryption design,” Sci. China, Ser. G 52(2), 177–183 (2009).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

C. K. Huang and H. H. Nien, “Multi chaotic systems based pixel shuffle for image encryption,” Opt. Commun. 282(11), 2123–2127 (2009).

[CrossRef]

S. Mazloom and A. M. Eftekhari-Moghadam, “Color image encryption based on Coupled Nonlinear Chaotic Map,” Chaos Solitons Fractals 42(3), 1745–1754 (2009).

[CrossRef]

R. Rhouma, S. Meherzi, and S. Belghith, “OCML-based colour image encryption,” Chaos Solitons Fractals 40(1), 309–318 (2009).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and C. H. Yuen, “An efficient diffusion approach for chaos-based image encryption,” Chaos Solitons Fractals 41(5), 2652–2663 (2009).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and W. S. Law, “A fast image encryption scheme based on chaotic standard map,” Phys. Lett. A 372(15), 2645–2652 (2008).

[CrossRef]

F. Y. Sun, S. T. Liu, Z. Q. Li, and Z. W. Lu, “A novel image encryption scheme based on spatial chaos map,” Chaos Solitons Fractals 38(3), 631–640 (2008).

[CrossRef]

T. G. Gao and Z. Q. Chen, “A new image encryption algorithm based on hyper-chaos,” Phys. Lett. A 372(4), 394–400 (2008).

[CrossRef]

S. Behnia, A. Akhshani, H. Mahmodi, and A. Akhavan, “A novel algorithm for image encryption based on mixture of chaotic maps,” Chaos Solitons Fractals 35(2), 408–419 (2008).

[CrossRef]

A. N. Pisarchik and M. Zanin, “Image encryption with chaotically coupled chaotic maps,” Physica D 237(20), 2638–2648 (2008).

[CrossRef]

T. Xiang, K. W. Wong, and X. F. Liao, “Selective image encryption using a spatiotemporal chaotic system,” Chaos 17(2), 023115 (2007).

[CrossRef]
[PubMed]

Y. Wang, X. F. Liao, T. Xiang, K.-W. Wong, and D. Yang, “Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic map,” Phys. Lett. A 363(4), 277–281 (2007).

[CrossRef]

J. Wei, X. F. Liao, K. W. Wong, and T. Zhou, “Cryptanalysis of a cryptosystem using multiple one-dimensional chaotic maps,” Commun. Nonlinear Sci. Numer. Simul. 12(5), 814–822 (2007).

[CrossRef]

F. Y. Sun, S. T. Liu, and Z. W. Lu, “Image encryption using high-dimension chaotic system,” Chin. Phys. 16(12), 3616–3623 (2007).

[CrossRef]

G. Alvarez and S. Li, “Some basic cryptographic requirements for chaos-based cryptosystems,” Int. J. Bifurcat. Chaos 16(8), 2129–2151 (2006).

[CrossRef]

S. G. Lian, J. S. Sun, and Z. Q. Wang, “A block cipher based on a suitable use of chaotic standard map,” Chaos Solitons Fractals 26(1), 117–129 (2005).

[CrossRef]

Y. B. Mao, G. R. Chen, and S. G. Lian, “A novel fast image encryption scheme based on 3D chaotic baker maps,” Int. J. Bifurcat. Chaos 14(10), 3613–3624 (2004).

[CrossRef]

G. R. Chen, Y. B. Mao, and C. K. Chui, “A symmetric image encryption scheme based on 3D chaotic cat maps,” Chaos Solitons Fractals 21(3), 749–761 (2004).

[CrossRef]

J. Fridrich, “Symmetric ciphers based on two-dimensional chaotic maps,” Int. J. Bifurcat. Chaos 8(6), 1259–1284 (1998).

[CrossRef]

C. E. Shannon, “Communication theory of secrecy systems,” Bell Syst. Tech. J. 28(4), 656–715 (1949).

[CrossRef]

S. Behnia, A. Akhshani, H. Mahmodi, and A. Akhavan, “A novel algorithm for image encryption based on mixture of chaotic maps,” Chaos Solitons Fractals 35(2), 408–419 (2008).

[CrossRef]

S. Behnia, A. Akhshani, H. Mahmodi, and A. Akhavan, “A novel algorithm for image encryption based on mixture of chaotic maps,” Chaos Solitons Fractals 35(2), 408–419 (2008).

[CrossRef]

G. Alvarez and S. Li, “Some basic cryptographic requirements for chaos-based cryptosystems,” Int. J. Bifurcat. Chaos 16(8), 2129–2151 (2006).

[CrossRef]

S. Behnia, A. Akhshani, H. Mahmodi, and A. Akhavan, “A novel algorithm for image encryption based on mixture of chaotic maps,” Chaos Solitons Fractals 35(2), 408–419 (2008).

[CrossRef]

R. Rhouma, S. Meherzi, and S. Belghith, “OCML-based colour image encryption,” Chaos Solitons Fractals 40(1), 309–318 (2009).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

Y. B. Mao, G. R. Chen, and S. G. Lian, “A novel fast image encryption scheme based on 3D chaotic baker maps,” Int. J. Bifurcat. Chaos 14(10), 3613–3624 (2004).

[CrossRef]

G. R. Chen, Y. B. Mao, and C. K. Chui, “A symmetric image encryption scheme based on 3D chaotic cat maps,” Chaos Solitons Fractals 21(3), 749–761 (2004).

[CrossRef]

C. Fu, J. J. Chen, H. Zou, W. H. Meng, Y. F. Zhan, and Y. W. Yu, “A chaos-based digital image encryption scheme with an improved diffusion strategy,” Opt. Express 20(3), 2363–2378 (2012).

[CrossRef]
[PubMed]

C. Fu, B. B. Lin, Y. S. Miao, X. Liu, and J. J. Chen, “A novel chaos-based bit-level permutation scheme for digital image encryption,” Opt. Commun. 284(23), 5415–5423 (2011).

[CrossRef]

T. G. Gao and Z. Q. Chen, “A new image encryption algorithm based on hyper-chaos,” Phys. Lett. A 372(4), 394–400 (2008).

[CrossRef]

G. R. Chen, Y. B. Mao, and C. K. Chui, “A symmetric image encryption scheme based on 3D chaotic cat maps,” Chaos Solitons Fractals 21(3), 749–761 (2004).

[CrossRef]

S. Mazloom and A. M. Eftekhari-Moghadam, “Color image encryption based on Coupled Nonlinear Chaotic Map,” Chaos Solitons Fractals 42(3), 1745–1754 (2009).

[CrossRef]

J. Fridrich, “Symmetric ciphers based on two-dimensional chaotic maps,” Int. J. Bifurcat. Chaos 8(6), 1259–1284 (1998).

[CrossRef]

C. Fu, J. J. Chen, H. Zou, W. H. Meng, Y. F. Zhan, and Y. W. Yu, “A chaos-based digital image encryption scheme with an improved diffusion strategy,” Opt. Express 20(3), 2363–2378 (2012).

[CrossRef]
[PubMed]

C. Fu, B. B. Lin, Y. S. Miao, X. Liu, and J. J. Chen, “A novel chaos-based bit-level permutation scheme for digital image encryption,” Opt. Commun. 284(23), 5415–5423 (2011).

[CrossRef]

T. G. Gao and Z. Q. Chen, “A new image encryption algorithm based on hyper-chaos,” Phys. Lett. A 372(4), 394–400 (2008).

[CrossRef]

C. K. Huang and H. H. Nien, “Multi chaotic systems based pixel shuffle for image encryption,” Opt. Commun. 282(11), 2123–2127 (2009).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and C. H. Yuen, “An efficient diffusion approach for chaos-based image encryption,” Chaos Solitons Fractals 41(5), 2652–2663 (2009).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and W. S. Law, “A fast image encryption scheme based on chaotic standard map,” Phys. Lett. A 372(15), 2645–2652 (2008).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and W. S. Law, “A fast image encryption scheme based on chaotic standard map,” Phys. Lett. A 372(15), 2645–2652 (2008).

[CrossRef]

G. Alvarez and S. Li, “Some basic cryptographic requirements for chaos-based cryptosystems,” Int. J. Bifurcat. Chaos 16(8), 2129–2151 (2006).

[CrossRef]

F. Y. Sun, S. T. Liu, Z. Q. Li, and Z. W. Lu, “A novel image encryption scheme based on spatial chaos map,” Chaos Solitons Fractals 38(3), 631–640 (2008).

[CrossRef]

S. G. Lian, J. S. Sun, and Z. Q. Wang, “A block cipher based on a suitable use of chaotic standard map,” Chaos Solitons Fractals 26(1), 117–129 (2005).

[CrossRef]

Y. B. Mao, G. R. Chen, and S. G. Lian, “A novel fast image encryption scheme based on 3D chaotic baker maps,” Int. J. Bifurcat. Chaos 14(10), 3613–3624 (2004).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

T. Xiang, K. W. Wong, and X. F. Liao, “Selective image encryption using a spatiotemporal chaotic system,” Chaos 17(2), 023115 (2007).

[CrossRef]
[PubMed]

Y. Wang, X. F. Liao, T. Xiang, K.-W. Wong, and D. Yang, “Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic map,” Phys. Lett. A 363(4), 277–281 (2007).

[CrossRef]

J. Wei, X. F. Liao, K. W. Wong, and T. Zhou, “Cryptanalysis of a cryptosystem using multiple one-dimensional chaotic maps,” Commun. Nonlinear Sci. Numer. Simul. 12(5), 814–822 (2007).

[CrossRef]

C. Fu, B. B. Lin, Y. S. Miao, X. Liu, and J. J. Chen, “A novel chaos-based bit-level permutation scheme for digital image encryption,” Opt. Commun. 284(23), 5415–5423 (2011).

[CrossRef]

S. T. Liu and F. Y. Sun, “Spatial chaos-based image encryption design,” Sci. China, Ser. G 52(2), 177–183 (2009).

[CrossRef]

F. Y. Sun, S. T. Liu, Z. Q. Li, and Z. W. Lu, “A novel image encryption scheme based on spatial chaos map,” Chaos Solitons Fractals 38(3), 631–640 (2008).

[CrossRef]

F. Y. Sun, S. T. Liu, and Z. W. Lu, “Image encryption using high-dimension chaotic system,” Chin. Phys. 16(12), 3616–3623 (2007).

[CrossRef]

C. Fu, B. B. Lin, Y. S. Miao, X. Liu, and J. J. Chen, “A novel chaos-based bit-level permutation scheme for digital image encryption,” Opt. Commun. 284(23), 5415–5423 (2011).

[CrossRef]

F. Y. Sun, S. T. Liu, Z. Q. Li, and Z. W. Lu, “A novel image encryption scheme based on spatial chaos map,” Chaos Solitons Fractals 38(3), 631–640 (2008).

[CrossRef]

F. Y. Sun, S. T. Liu, and Z. W. Lu, “Image encryption using high-dimension chaotic system,” Chin. Phys. 16(12), 3616–3623 (2007).

[CrossRef]

S. Behnia, A. Akhshani, H. Mahmodi, and A. Akhavan, “A novel algorithm for image encryption based on mixture of chaotic maps,” Chaos Solitons Fractals 35(2), 408–419 (2008).

[CrossRef]

G. R. Chen, Y. B. Mao, and C. K. Chui, “A symmetric image encryption scheme based on 3D chaotic cat maps,” Chaos Solitons Fractals 21(3), 749–761 (2004).

[CrossRef]

Y. B. Mao, G. R. Chen, and S. G. Lian, “A novel fast image encryption scheme based on 3D chaotic baker maps,” Int. J. Bifurcat. Chaos 14(10), 3613–3624 (2004).

[CrossRef]

S. Mazloom and A. M. Eftekhari-Moghadam, “Color image encryption based on Coupled Nonlinear Chaotic Map,” Chaos Solitons Fractals 42(3), 1745–1754 (2009).

[CrossRef]

R. Rhouma, S. Meherzi, and S. Belghith, “OCML-based colour image encryption,” Chaos Solitons Fractals 40(1), 309–318 (2009).

[CrossRef]

C. Fu, B. B. Lin, Y. S. Miao, X. Liu, and J. J. Chen, “A novel chaos-based bit-level permutation scheme for digital image encryption,” Opt. Commun. 284(23), 5415–5423 (2011).

[CrossRef]

C. K. Huang and H. H. Nien, “Multi chaotic systems based pixel shuffle for image encryption,” Opt. Commun. 282(11), 2123–2127 (2009).

[CrossRef]

A. N. Pisarchik and M. Zanin, “Image encryption with chaotically coupled chaotic maps,” Physica D 237(20), 2638–2648 (2008).

[CrossRef]

R. Rhouma, S. Meherzi, and S. Belghith, “OCML-based colour image encryption,” Chaos Solitons Fractals 40(1), 309–318 (2009).

[CrossRef]

C. E. Shannon, “Communication theory of secrecy systems,” Bell Syst. Tech. J. 28(4), 656–715 (1949).

[CrossRef]

S. T. Liu and F. Y. Sun, “Spatial chaos-based image encryption design,” Sci. China, Ser. G 52(2), 177–183 (2009).

[CrossRef]

F. Y. Sun, S. T. Liu, Z. Q. Li, and Z. W. Lu, “A novel image encryption scheme based on spatial chaos map,” Chaos Solitons Fractals 38(3), 631–640 (2008).

[CrossRef]

F. Y. Sun, S. T. Liu, and Z. W. Lu, “Image encryption using high-dimension chaotic system,” Chin. Phys. 16(12), 3616–3623 (2007).

[CrossRef]

S. G. Lian, J. S. Sun, and Z. Q. Wang, “A block cipher based on a suitable use of chaotic standard map,” Chaos Solitons Fractals 26(1), 117–129 (2005).

[CrossRef]

X. J. Tong, “The novel bilateral - diffusion image encryption algorithm with dynamical compound chaos,” J. Syst. Software 85(4), 850–858 (2012).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

Y. Wang, X. F. Liao, T. Xiang, K.-W. Wong, and D. Yang, “Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic map,” Phys. Lett. A 363(4), 277–281 (2007).

[CrossRef]

S. G. Lian, J. S. Sun, and Z. Q. Wang, “A block cipher based on a suitable use of chaotic standard map,” Chaos Solitons Fractals 26(1), 117–129 (2005).

[CrossRef]

J. Wei, X. F. Liao, K. W. Wong, and T. Zhou, “Cryptanalysis of a cryptosystem using multiple one-dimensional chaotic maps,” Commun. Nonlinear Sci. Numer. Simul. 12(5), 814–822 (2007).

[CrossRef]

W. Zhang, K. W. Wong, H. Yu, and Z. L. Zhu, “An image encryption scheme using lightweight bit-level confusion and cascade cross circular diffusion,” Opt. Commun. 285(9), 2343–2354 (2012).

[CrossRef]

Z. L. Zhu, W. Zhang, K. W. Wong, and H. Yu, “A chaos-based symmetric image encryption scheme using a bit-level permutation,” Inf. Sci. 181(6), 1171–1186 (2011).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and C. H. Yuen, “An efficient diffusion approach for chaos-based image encryption,” Chaos Solitons Fractals 41(5), 2652–2663 (2009).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and W. S. Law, “A fast image encryption scheme based on chaotic standard map,” Phys. Lett. A 372(15), 2645–2652 (2008).

[CrossRef]

T. Xiang, K. W. Wong, and X. F. Liao, “Selective image encryption using a spatiotemporal chaotic system,” Chaos 17(2), 023115 (2007).

[CrossRef]
[PubMed]

J. Wei, X. F. Liao, K. W. Wong, and T. Zhou, “Cryptanalysis of a cryptosystem using multiple one-dimensional chaotic maps,” Commun. Nonlinear Sci. Numer. Simul. 12(5), 814–822 (2007).

[CrossRef]

Y. Wang, X. F. Liao, T. Xiang, K.-W. Wong, and D. Yang, “Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic map,” Phys. Lett. A 363(4), 277–281 (2007).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

T. Xiang, K. W. Wong, and X. F. Liao, “Selective image encryption using a spatiotemporal chaotic system,” Chaos 17(2), 023115 (2007).

[CrossRef]
[PubMed]

Y. Wang, X. F. Liao, T. Xiang, K.-W. Wong, and D. Yang, “Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic map,” Phys. Lett. A 363(4), 277–281 (2007).

[CrossRef]

Y. Wang, X. F. Liao, T. Xiang, K.-W. Wong, and D. Yang, “Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic map,” Phys. Lett. A 363(4), 277–281 (2007).

[CrossRef]

W. Zhang, K. W. Wong, H. Yu, and Z. L. Zhu, “An image encryption scheme using lightweight bit-level confusion and cascade cross circular diffusion,” Opt. Commun. 285(9), 2343–2354 (2012).

[CrossRef]

Z. L. Zhu, W. Zhang, K. W. Wong, and H. Yu, “A chaos-based symmetric image encryption scheme using a bit-level permutation,” Inf. Sci. 181(6), 1171–1186 (2011).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and C. H. Yuen, “An efficient diffusion approach for chaos-based image encryption,” Chaos Solitons Fractals 41(5), 2652–2663 (2009).

[CrossRef]

A. N. Pisarchik and M. Zanin, “Image encryption with chaotically coupled chaotic maps,” Physica D 237(20), 2638–2648 (2008).

[CrossRef]

W. Zhang, K. W. Wong, H. Yu, and Z. L. Zhu, “An image encryption scheme using lightweight bit-level confusion and cascade cross circular diffusion,” Opt. Commun. 285(9), 2343–2354 (2012).

[CrossRef]

Z. L. Zhu, W. Zhang, K. W. Wong, and H. Yu, “A chaos-based symmetric image encryption scheme using a bit-level permutation,” Inf. Sci. 181(6), 1171–1186 (2011).

[CrossRef]

J. Wei, X. F. Liao, K. W. Wong, and T. Zhou, “Cryptanalysis of a cryptosystem using multiple one-dimensional chaotic maps,” Commun. Nonlinear Sci. Numer. Simul. 12(5), 814–822 (2007).

[CrossRef]

C. X. Zhu, “A novel image encryption scheme based on improved hyper chaotic sequences,” Opt. Commun. 285(1), 29–37 (2012).

[CrossRef]

W. Zhang, K. W. Wong, H. Yu, and Z. L. Zhu, “An image encryption scheme using lightweight bit-level confusion and cascade cross circular diffusion,” Opt. Commun. 285(9), 2343–2354 (2012).

[CrossRef]

Z. L. Zhu, W. Zhang, K. W. Wong, and H. Yu, “A chaos-based symmetric image encryption scheme using a bit-level permutation,” Inf. Sci. 181(6), 1171–1186 (2011).

[CrossRef]

C. E. Shannon, “Communication theory of secrecy systems,” Bell Syst. Tech. J. 28(4), 656–715 (1949).

[CrossRef]

T. Xiang, K. W. Wong, and X. F. Liao, “Selective image encryption using a spatiotemporal chaotic system,” Chaos 17(2), 023115 (2007).

[CrossRef]
[PubMed]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and C. H. Yuen, “An efficient diffusion approach for chaos-based image encryption,” Chaos Solitons Fractals 41(5), 2652–2663 (2009).

[CrossRef]

S. G. Lian, J. S. Sun, and Z. Q. Wang, “A block cipher based on a suitable use of chaotic standard map,” Chaos Solitons Fractals 26(1), 117–129 (2005).

[CrossRef]

G. R. Chen, Y. B. Mao, and C. K. Chui, “A symmetric image encryption scheme based on 3D chaotic cat maps,” Chaos Solitons Fractals 21(3), 749–761 (2004).

[CrossRef]

S. Behnia, A. Akhshani, H. Mahmodi, and A. Akhavan, “A novel algorithm for image encryption based on mixture of chaotic maps,” Chaos Solitons Fractals 35(2), 408–419 (2008).

[CrossRef]

Y. Wang, K. W. Wong, X. F. Liao, T. Xiang, and G. R. Chen, “A chaos-based image encryption algorithm with variable control parameters,” Chaos Solitons Fractals 41(4), 1773–1783 (2009).

[CrossRef]

S. Mazloom and A. M. Eftekhari-Moghadam, “Color image encryption based on Coupled Nonlinear Chaotic Map,” Chaos Solitons Fractals 42(3), 1745–1754 (2009).

[CrossRef]

R. Rhouma, S. Meherzi, and S. Belghith, “OCML-based colour image encryption,” Chaos Solitons Fractals 40(1), 309–318 (2009).

[CrossRef]

F. Y. Sun, S. T. Liu, Z. Q. Li, and Z. W. Lu, “A novel image encryption scheme based on spatial chaos map,” Chaos Solitons Fractals 38(3), 631–640 (2008).

[CrossRef]

F. Y. Sun, S. T. Liu, and Z. W. Lu, “Image encryption using high-dimension chaotic system,” Chin. Phys. 16(12), 3616–3623 (2007).

[CrossRef]

J. Wei, X. F. Liao, K. W. Wong, and T. Zhou, “Cryptanalysis of a cryptosystem using multiple one-dimensional chaotic maps,” Commun. Nonlinear Sci. Numer. Simul. 12(5), 814–822 (2007).

[CrossRef]

Z. L. Zhu, W. Zhang, K. W. Wong, and H. Yu, “A chaos-based symmetric image encryption scheme using a bit-level permutation,” Inf. Sci. 181(6), 1171–1186 (2011).

[CrossRef]

G. Alvarez and S. Li, “Some basic cryptographic requirements for chaos-based cryptosystems,” Int. J. Bifurcat. Chaos 16(8), 2129–2151 (2006).

[CrossRef]

Y. B. Mao, G. R. Chen, and S. G. Lian, “A novel fast image encryption scheme based on 3D chaotic baker maps,” Int. J. Bifurcat. Chaos 14(10), 3613–3624 (2004).

[CrossRef]

J. Fridrich, “Symmetric ciphers based on two-dimensional chaotic maps,” Int. J. Bifurcat. Chaos 8(6), 1259–1284 (1998).

[CrossRef]

X. J. Tong, “The novel bilateral - diffusion image encryption algorithm with dynamical compound chaos,” J. Syst. Software 85(4), 850–858 (2012).

[CrossRef]

C. Fu, B. B. Lin, Y. S. Miao, X. Liu, and J. J. Chen, “A novel chaos-based bit-level permutation scheme for digital image encryption,” Opt. Commun. 284(23), 5415–5423 (2011).

[CrossRef]

W. Zhang, K. W. Wong, H. Yu, and Z. L. Zhu, “An image encryption scheme using lightweight bit-level confusion and cascade cross circular diffusion,” Opt. Commun. 285(9), 2343–2354 (2012).

[CrossRef]

C. K. Huang and H. H. Nien, “Multi chaotic systems based pixel shuffle for image encryption,” Opt. Commun. 282(11), 2123–2127 (2009).

[CrossRef]

C. X. Zhu, “A novel image encryption scheme based on improved hyper chaotic sequences,” Opt. Commun. 285(1), 29–37 (2012).

[CrossRef]

K. W. Wong, B. S. H. Kwok, and W. S. Law, “A fast image encryption scheme based on chaotic standard map,” Phys. Lett. A 372(15), 2645–2652 (2008).

[CrossRef]

T. G. Gao and Z. Q. Chen, “A new image encryption algorithm based on hyper-chaos,” Phys. Lett. A 372(4), 394–400 (2008).

[CrossRef]

Y. Wang, X. F. Liao, T. Xiang, K.-W. Wong, and D. Yang, “Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic map,” Phys. Lett. A 363(4), 277–281 (2007).

[CrossRef]

A. N. Pisarchik and M. Zanin, “Image encryption with chaotically coupled chaotic maps,” Physica D 237(20), 2638–2648 (2008).

[CrossRef]

S. T. Liu and F. Y. Sun, “Spatial chaos-based image encryption design,” Sci. China, Ser. G 52(2), 177–183 (2009).

[CrossRef]

IEEE Computer Society, “IEEE standard for binary floating-point arithmetic,” ANSI/IEEE std. 754–1985 (1985).

A statistical test suite for random and pseudorandom number generators for cryptographic applications, Special Publication 800–22 Rev 1a, 2010, http://www.nist.gov .

S. Li, G. Chen, and X. Zheng, “Chaos-based encryption for digital images and videos,” in Multimedia Security Handbook (CRC Press, 2005), Chap. 4.