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The security of a class of hyperchaotic image encryption algorithms is analysed. The results show that the shuffling process can be separated from the confusion process, and the formulas of encryption are simple, which makes the ciphertext cannot resist the attacks from chosen plaintext and ciphertext. Then we propose an improved and enhanced algorithm based on hyperchaos. The improved algorithm includes two rounds of encryption operation. The theoretical analyses and the experimental results indicate that the improved algorithm can overcome these flaws and has better cryptographic performances in resisting differential attacks and speed of encryption.
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Keywords:
- hyperchaos /
- image encryption /
- chosen plaintext attack /
- chosen ciphertext attack
[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] Matthews R A J 1989 Cryptologia XIII 29
[6] Lin S L, Tung P C 2009 Chaos Soliton. Fract. 42 3234
[7] Moskalenko O I, Koronovskii A A, Hramov A E 2010 Phys. Lett. A 374 2925
[8] Wang Y, Wong K W, Liao X F, Chen G R 2011 Appl. Soft. Comput. 11 514
[9] Zhu Z L, Zhang W, Wong K W, Yu H 2011 Information Sciences 181 1171
[10] Tong X J, Cui M G, Wang Z 2009 Opt. Commun. 282 2722
[11] Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 5136 (in Chinese) [王兴元, 王明军 2007 56 5136]
[12] Gao T G, Chen Z Q 2008 Phys. Lett. A 372 394
[13] Wang J, Jiang G P 2011 Acta Phys. Sin. 60 060503 (in Chinese) [王静, 蒋国平 2011 56 5136]
[14] Park J H 2005 Chaos Soliton. Fract. 26 959
[15] Dadras S, Momeni H R 2010 Phys. Lett. A 372 1368
[16] Sun F Y, Lü Z W 2011 Chin. Phys. B 20 040506
[17] Wang X Y, Xie Y X 2011 Chin. Phys. B 20 080504
[18] Wang F L 2011 Acta Phys. Sin. 60 110517 (in Chinese) [王福来 2011 60 110517]
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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] Matthews R A J 1989 Cryptologia XIII 29
[6] Lin S L, Tung P C 2009 Chaos Soliton. Fract. 42 3234
[7] Moskalenko O I, Koronovskii A A, Hramov A E 2010 Phys. Lett. A 374 2925
[8] Wang Y, Wong K W, Liao X F, Chen G R 2011 Appl. Soft. Comput. 11 514
[9] Zhu Z L, Zhang W, Wong K W, Yu H 2011 Information Sciences 181 1171
[10] Tong X J, Cui M G, Wang Z 2009 Opt. Commun. 282 2722
[11] Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 5136 (in Chinese) [王兴元, 王明军 2007 56 5136]
[12] Gao T G, Chen Z Q 2008 Phys. Lett. A 372 394
[13] Wang J, Jiang G P 2011 Acta Phys. Sin. 60 060503 (in Chinese) [王静, 蒋国平 2011 56 5136]
[14] Park J H 2005 Chaos Soliton. Fract. 26 959
[15] Dadras S, Momeni H R 2010 Phys. Lett. A 372 1368
[16] Sun F Y, Lü Z W 2011 Chin. Phys. B 20 040506
[17] Wang X Y, Xie Y X 2011 Chin. Phys. B 20 080504
[18] Wang F L 2011 Acta Phys. Sin. 60 110517 (in Chinese) [王福来 2011 60 110517]
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