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According to the Kerckhoff principle, a kind of image encryption algorithm based on hyper-chaos is discussed through choosing plaintext attack and ciphertext attack. The result shows that the key stream is independent of plaintext and one plain-text word is correlated with single cipher-text word for the algorithm, which makes the ciphertext decrypted easily with little computing by choosing plaintext and ciphertext attack. Considering the above problems, an improved algorithm based on hyper-chaos is proposed and the performance analysis is conducted, including statistical analysis, differential analysis, correlation analysis and key sensitivity testing. Theoretical analysis and simulation results show that the improved algorithm not only can resist the chosen plaintext attack and chosen ciphertext attack, but also can obtain better cryptographic properties, such as statistical characteristics, difference characteristics and so on.
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Keywords:
- hyper-chaos /
- chosen plaintext attack /
- chosen ciphertext attack /
- Matlab analysis
[1] Pisarchik A N, Zanin M 2008 Physica D 237 2638
[2] Yang D G, Liao X F, Wang Y 2009 Chaos Soliton. Fract. 41 505
[3] Rontani D, Sciamanna M, Locquet A 2009 Phys. Rev. E 80 066209
[4] Liu S B, Sun J, Xu Z Q 2009 J. Computers 4 1091
[5] Mazloom S, Eftekhari-Moghadam A M 2009 Chaos Soliton. Fract. 42 1745
[6] Xu S J, Wang J Z, Yang S X 2008 Chin. Phys. B 17 4027
[7] Jin J X, Qiu S S 2010 Acta Phys. Sin. 59 792 (in Chinese) [晋建秀、丘水生 2010 物理学报 59 792]
[8] Baptista M S 1998 Phys. Lett. A 240 50
[9] Pareek N K, Patidar V 2005 Commun. Nonlinear Sci. Numer. Simulat. 10 715
[10] Wong K W, Ho S W, Yung C K 2003 Phys. Lett. A 310 67
[11] Xiang T, Liao X F, Tang G P 2006 Phys. Lett. A 349 109
[12] Sun F Y, Liu S T, Li Z Q 2008 Chaos Soliton. Fract. 38 631
[13] Behnia S, Akhshana A, Mahmodi H 2008 Chaos Soliton. Fract. 35 408
[14] Yoon J W, Kim H 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 3998
[15] Yang H Q, Wong K W 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 3507
[16] Wang S H, Kuang J Y, Li J H 2002 Phys. Rev. E 66 065202
[17] Chen C H, Sheu L J, Chen H K 2009 Nonlinear Analysis: Real World Applications 10 2088
[18] Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2239
[19] Cokal C, Solak E 2009 Phys. Lett. A 373 1357
[20] Aguilar-Bustos A Y, Cruz-Hernández C, López-Gutiérrez R M, Tlelo-Cuautle E 2010 Hyperchaotic Encryption for Secure E-Mail Communication ( London: Springer London) p471
[21] Yao H X, Li M 2009 Inter. J. Nonlin. Sci. 7 379
[22] Gao T G, Chen Z Q 2008 Phys. Lett. A 372 394
[23] Rhouma R, Belghith S 2008 Phys. Lett. A 372 5973
[24] Park J H 2005 Chao Soliton. Fract. 26 959
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[1] Pisarchik A N, Zanin M 2008 Physica D 237 2638
[2] Yang D G, Liao X F, Wang Y 2009 Chaos Soliton. Fract. 41 505
[3] Rontani D, Sciamanna M, Locquet A 2009 Phys. Rev. E 80 066209
[4] Liu S B, Sun J, Xu Z Q 2009 J. Computers 4 1091
[5] Mazloom S, Eftekhari-Moghadam A M 2009 Chaos Soliton. Fract. 42 1745
[6] Xu S J, Wang J Z, Yang S X 2008 Chin. Phys. B 17 4027
[7] Jin J X, Qiu S S 2010 Acta Phys. Sin. 59 792 (in Chinese) [晋建秀、丘水生 2010 物理学报 59 792]
[8] Baptista M S 1998 Phys. Lett. A 240 50
[9] Pareek N K, Patidar V 2005 Commun. Nonlinear Sci. Numer. Simulat. 10 715
[10] Wong K W, Ho S W, Yung C K 2003 Phys. Lett. A 310 67
[11] Xiang T, Liao X F, Tang G P 2006 Phys. Lett. A 349 109
[12] Sun F Y, Liu S T, Li Z Q 2008 Chaos Soliton. Fract. 38 631
[13] Behnia S, Akhshana A, Mahmodi H 2008 Chaos Soliton. Fract. 35 408
[14] Yoon J W, Kim H 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 3998
[15] Yang H Q, Wong K W 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 3507
[16] Wang S H, Kuang J Y, Li J H 2002 Phys. Rev. E 66 065202
[17] Chen C H, Sheu L J, Chen H K 2009 Nonlinear Analysis: Real World Applications 10 2088
[18] Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2239
[19] Cokal C, Solak E 2009 Phys. Lett. A 373 1357
[20] Aguilar-Bustos A Y, Cruz-Hernández C, López-Gutiérrez R M, Tlelo-Cuautle E 2010 Hyperchaotic Encryption for Secure E-Mail Communication ( London: Springer London) p471
[21] Yao H X, Li M 2009 Inter. J. Nonlin. Sci. 7 379
[22] Gao T G, Chen Z Q 2008 Phys. Lett. A 372 394
[23] Rhouma R, Belghith S 2008 Phys. Lett. A 372 5973
[24] Park J H 2005 Chao Soliton. Fract. 26 959
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