X. Ma, C. Fu, W. M. Lei, and S. Li, “A novel chaos-based image encryption scheme with an improved permutation process,” Int. J. Adv. Comput. Technol. 3(5), 223–233 (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]

X. J. Tong and M. G. Cui, “Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator,” Signal Process. 89(4), 480–491 (2009).

[CrossRef]

V. Patidar, N. K. Pareek, and K. K. Sud, “A new substitution-diffusion based image cipher using chaotic standard and logistic maps,” Commun. Nonlinear Sci. Numer. Simul. 14(7), 3056–3075 (2009).

[CrossRef]

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

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]

I. F. Elashry, O. S. F. Allah, A. M. Abbas, S. El-Rabaie, and F. E. A. El-Samie, “Homomorphic image encryption,” J. Electron. Imaging 18(3), 033002 (2009).

[CrossRef]

S. E. Borujeni and M. Eshghi, “Chaotic image encryption design using Tompkins-Paige algorithm,” Math. Probl. Eng. 2009, 762652 (2009).

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

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]

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]

H. S. Kwok and W. K. S. Tang, “A fast image encryption system based on chaotic maps with finite precision representation,” Chaos Solitons Fractals 32(4), 1518–1529 (2007).

[CrossRef]

S. Behnia, A. Akhshani, S. Ahadpour, H. Mahmodi, and A. Akhavan, “A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps,” Phys. Lett. A 366(4-5), 391–396 (2007).

[CrossRef]

N. K. Pareek, V. Patidar, and K. K. Sud, “Image encryption using chaotic logistic map,” Image Vis. Comput. 24(9), 926–934 (2006).

[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 the chaotic standard map,” Chaos Solitons Fractals 26(1), 117–129 (2005).

[CrossRef]

F. Belkhouche, I. Gokcen, and U. Qidwai, “Chaotic gray-level image transformation,” J. Electron. Imaging 14(4), 043001 (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]

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]

F. Rannou, “Numerical study of discrete plane area-preserving map,” Astron. Astrophys. 31, 289–301 (1974).

I. F. Elashry, O. S. F. Allah, A. M. Abbas, S. El-Rabaie, and F. E. A. El-Samie, “Homomorphic image encryption,” J. Electron. Imaging 18(3), 033002 (2009).

[CrossRef]

S. Behnia, A. Akhshani, S. Ahadpour, H. Mahmodi, and A. Akhavan, “A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps,” Phys. Lett. A 366(4-5), 391–396 (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]

S. Behnia, A. Akhshani, S. Ahadpour, H. Mahmodi, and A. Akhavan, “A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps,” Phys. Lett. A 366(4-5), 391–396 (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]

S. Behnia, A. Akhshani, S. Ahadpour, H. Mahmodi, and A. Akhavan, “A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps,” Phys. Lett. A 366(4-5), 391–396 (2007).

[CrossRef]

I. F. Elashry, O. S. F. Allah, A. M. Abbas, S. El-Rabaie, and F. E. A. El-Samie, “Homomorphic image encryption,” J. Electron. Imaging 18(3), 033002 (2009).

[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]

S. Behnia, A. Akhshani, S. Ahadpour, H. Mahmodi, and A. Akhavan, “A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps,” Phys. Lett. A 366(4-5), 391–396 (2007).

[CrossRef]

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

[CrossRef]

F. Belkhouche, I. Gokcen, and U. Qidwai, “Chaotic gray-level image transformation,” J. Electron. Imaging 14(4), 043001 (2005).

[CrossRef]

S. E. Borujeni and M. Eshghi, “Chaotic image encryption design using Tompkins-Paige algorithm,” Math. Probl. Eng. 2009, 762652 (2009).

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]

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]

X. J. Tong and M. G. Cui, “Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator,” Signal Process. 89(4), 480–491 (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]

I. F. Elashry, O. S. F. Allah, A. M. Abbas, S. El-Rabaie, and F. E. A. El-Samie, “Homomorphic image encryption,” J. Electron. Imaging 18(3), 033002 (2009).

[CrossRef]

I. F. Elashry, O. S. F. Allah, A. M. Abbas, S. El-Rabaie, and F. E. A. El-Samie, “Homomorphic image encryption,” J. Electron. Imaging 18(3), 033002 (2009).

[CrossRef]

I. F. Elashry, O. S. F. Allah, A. M. Abbas, S. El-Rabaie, and F. E. A. El-Samie, “Homomorphic image encryption,” J. Electron. Imaging 18(3), 033002 (2009).

[CrossRef]

S. E. Borujeni and M. Eshghi, “Chaotic image encryption design using Tompkins-Paige algorithm,” Math. Probl. Eng. 2009, 762652 (2009).

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

[CrossRef]

X. Ma, C. Fu, W. M. Lei, and S. Li, “A novel chaos-based image encryption scheme with an improved permutation process,” Int. J. Adv. Comput. Technol. 3(5), 223–233 (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]

F. Belkhouche, I. Gokcen, and U. Qidwai, “Chaotic gray-level image transformation,” J. Electron. Imaging 14(4), 043001 (2005).

[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]

H. S. Kwok and W. K. S. Tang, “A fast image encryption system based on chaotic maps with finite precision representation,” Chaos Solitons Fractals 32(4), 1518–1529 (2007).

[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]

X. Ma, C. Fu, W. M. Lei, and S. Li, “A novel chaos-based image encryption scheme with an improved permutation process,” Int. J. Adv. Comput. Technol. 3(5), 223–233 (2011).

[CrossRef]

X. Ma, C. Fu, W. M. Lei, and S. Li, “A novel chaos-based image encryption scheme with an improved permutation process,” Int. J. Adv. Comput. Technol. 3(5), 223–233 (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]

F. Y. Sun, S. T. Liu, Z. Q. Li, and Z. W. Lü, “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 the 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]

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

[CrossRef]
[PubMed]

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

[CrossRef]

X. Ma, C. Fu, W. M. Lei, and S. Li, “A novel chaos-based image encryption scheme with an improved permutation process,” Int. J. Adv. Comput. Technol. 3(5), 223–233 (2011).

[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, S. Ahadpour, H. Mahmodi, and A. Akhavan, “A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps,” Phys. Lett. A 366(4-5), 391–396 (2007).

[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]

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

[CrossRef]

V. Patidar, N. K. Pareek, and K. K. Sud, “A new substitution-diffusion based image cipher using chaotic standard and logistic maps,” Commun. Nonlinear Sci. Numer. Simul. 14(7), 3056–3075 (2009).

[CrossRef]

N. K. Pareek, V. Patidar, and K. K. Sud, “Image encryption using chaotic logistic map,” Image Vis. Comput. 24(9), 926–934 (2006).

[CrossRef]

V. Patidar, N. K. Pareek, and K. K. Sud, “A new substitution-diffusion based image cipher using chaotic standard and logistic maps,” Commun. Nonlinear Sci. Numer. Simul. 14(7), 3056–3075 (2009).

[CrossRef]

N. K. Pareek, V. Patidar, and K. K. Sud, “Image encryption using chaotic logistic map,” Image Vis. Comput. 24(9), 926–934 (2006).

[CrossRef]

F. Belkhouche, I. Gokcen, and U. Qidwai, “Chaotic gray-level image transformation,” J. Electron. Imaging 14(4), 043001 (2005).

[CrossRef]

F. Rannou, “Numerical study of discrete plane area-preserving map,” Astron. Astrophys. 31, 289–301 (1974).

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

[CrossRef]

V. Patidar, N. K. Pareek, and K. K. Sud, “A new substitution-diffusion based image cipher using chaotic standard and logistic maps,” Commun. Nonlinear Sci. Numer. Simul. 14(7), 3056–3075 (2009).

[CrossRef]

N. K. Pareek, V. Patidar, and K. K. Sud, “Image encryption using chaotic logistic map,” Image Vis. Comput. 24(9), 926–934 (2006).

[CrossRef]

F. Y. Sun, S. T. Liu, Z. Q. Li, and Z. W. Lü, “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 the chaotic standard map,” Chaos Solitons Fractals 26(1), 117–129 (2005).

[CrossRef]

H. S. Kwok and W. K. S. Tang, “A fast image encryption system based on chaotic maps with finite precision representation,” Chaos Solitons Fractals 32(4), 1518–1529 (2007).

[CrossRef]

X. J. Tong and M. G. Cui, “Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator,” Signal Process. 89(4), 480–491 (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]

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

[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]

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 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]

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]

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]

F. Rannou, “Numerical study of discrete plane area-preserving map,” Astron. Astrophys. 31, 289–301 (1974).

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

[CrossRef]
[PubMed]

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

[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]

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]

H. S. Kwok and W. K. S. Tang, “A fast image encryption system based on chaotic maps with finite precision representation,” Chaos Solitons Fractals 32(4), 1518–1529 (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]

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]

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]

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. Lü, “A novel image encryption scheme based on spatial chaos map,” Chaos Solitons Fractals 38(3), 631–640 (2008).

[CrossRef]

V. Patidar, N. K. Pareek, and K. K. Sud, “A new substitution-diffusion based image cipher using chaotic standard and logistic maps,” Commun. Nonlinear Sci. Numer. Simul. 14(7), 3056–3075 (2009).

[CrossRef]

N. K. Pareek, V. Patidar, and K. K. Sud, “Image encryption using chaotic logistic map,” Image Vis. Comput. 24(9), 926–934 (2006).

[CrossRef]

X. Ma, C. Fu, W. M. Lei, and S. Li, “A novel chaos-based image encryption scheme with an improved permutation process,” Int. J. Adv. Comput. Technol. 3(5), 223–233 (2011).

[CrossRef]

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

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

[CrossRef]

F. Belkhouche, I. Gokcen, and U. Qidwai, “Chaotic gray-level image transformation,” J. Electron. Imaging 14(4), 043001 (2005).

[CrossRef]

I. F. Elashry, O. S. F. Allah, A. M. Abbas, S. El-Rabaie, and F. E. A. El-Samie, “Homomorphic image encryption,” J. Electron. Imaging 18(3), 033002 (2009).

[CrossRef]

S. E. Borujeni and M. Eshghi, “Chaotic image encryption design using Tompkins-Paige algorithm,” Math. Probl. Eng. 2009, 762652 (2009).

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

[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, S. Ahadpour, H. Mahmodi, and A. Akhavan, “A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps,” Phys. Lett. A 366(4-5), 391–396 (2007).

[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]

X. J. Tong and M. G. Cui, “Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator,” Signal Process. 89(4), 480–491 (2009).

[CrossRef]

A. J. Litchenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer, 1983).

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