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In this paper, we present an attack on a cryptosystem designed by using a spatiotemporal chaotic system. We show that the decryption system proposed in (Phys. Rev. E 66, 065202 (2002)) degenerates to the one-dimensional map under the constant input, and it is insensitive to the slight perturbations to input in specially selected intervals. Consequently, the attacker can use a very simple optimization algorithm to obtain the proper input value within only hundreds of iterations. Furthermore, we prove that there exits a linear dependency between the secret key and the obtained input value, so that the attacker can break this spatiotemporal chaos-based secure communication scheme easily. Both theoretical and experimental results show that the lack of security discourages the use of these cryptosystems for practical application.
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Keywords:
- chaotic encryption /
- coupled map lattices /
- cryptanalysis
[1] Li P, Li Z, Halang W A, Chen G R 2006 Phys. Lett. A 349 467
[2] Li P, Li Z, Halang W A, Chen G R 2006 Int. J Bifurcation Chaos 16 2949
[3] Xiang F, Qiu S S 2008 Acta Phys. Sin. 57 6132 [向 菲、丘水生 2008 物理学报 57 6132]
[4] Wang L, Wang F P, Wang Z J 2006 Acta Phys. Sin.55 3964 [王 蕾、汪芙平、王赞基 2006 物理学报 55 3964]
[5] Wang K, Pei W J, Wang S P, Cheung Y M, He Z Y 2008 IEEE Trans. Circuits Syst. I. 55 1116
[6] Wang K, Pei W J, Wang S P, Xia H S, He Z Y 2007 Acta Phys. Sin. 56 3766 [王 开、裴文江、夏海山、何振亚 2007 物理学报56 3766 ]
[7] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[8] Wang S, Kuang J Y, Li J, Luo Y, Lu H, G. Hu 2002 Phys. Rev. E 66 065202
[9] Tang G N, Wang S H, Lu H P, Hu G 2003 Phys Lett. A 318 388
[10] Ye W P, Dai Q L, Wang S H, Lu H P, Kuang J Y, Zhao Z F, Zhu X Q, Tang G N, Huang R H, Hu G 2004 Phys Lett. A 330 75
[11] Wang X, Gong X, Zhan M, Lai C H 2005 Chaos 15 023109
[12] Zhou J T, Pei W J, Wang K, Huang J, He Z Y 2006 Phys Lett. A 358 283
[13] Lu H P, Wang S H, Li X W, Tang G N, Kuang J Y, Ye W P, Hu G 2004 Chaos 14 617
[14] Wang S H, Hu G 2007 Chaos 17 023119
[15] Rhouma R, Safya B 2007 Chaos 17 033117
[16] Hu G J, Feng Z J, Meng R L 2003 IEEE Trans. Circuits Syst-I 50 275
[17] Wang K, Pei W J, Yi Shen, Wang S P 2009 Phys. Lett. A 374 44
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[1] Li P, Li Z, Halang W A, Chen G R 2006 Phys. Lett. A 349 467
[2] Li P, Li Z, Halang W A, Chen G R 2006 Int. J Bifurcation Chaos 16 2949
[3] Xiang F, Qiu S S 2008 Acta Phys. Sin. 57 6132 [向 菲、丘水生 2008 物理学报 57 6132]
[4] Wang L, Wang F P, Wang Z J 2006 Acta Phys. Sin.55 3964 [王 蕾、汪芙平、王赞基 2006 物理学报 55 3964]
[5] Wang K, Pei W J, Wang S P, Cheung Y M, He Z Y 2008 IEEE Trans. Circuits Syst. I. 55 1116
[6] Wang K, Pei W J, Wang S P, Xia H S, He Z Y 2007 Acta Phys. Sin. 56 3766 [王 开、裴文江、夏海山、何振亚 2007 物理学报56 3766 ]
[7] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[8] Wang S, Kuang J Y, Li J, Luo Y, Lu H, G. Hu 2002 Phys. Rev. E 66 065202
[9] Tang G N, Wang S H, Lu H P, Hu G 2003 Phys Lett. A 318 388
[10] Ye W P, Dai Q L, Wang S H, Lu H P, Kuang J Y, Zhao Z F, Zhu X Q, Tang G N, Huang R H, Hu G 2004 Phys Lett. A 330 75
[11] Wang X, Gong X, Zhan M, Lai C H 2005 Chaos 15 023109
[12] Zhou J T, Pei W J, Wang K, Huang J, He Z Y 2006 Phys Lett. A 358 283
[13] Lu H P, Wang S H, Li X W, Tang G N, Kuang J Y, Ye W P, Hu G 2004 Chaos 14 617
[14] Wang S H, Hu G 2007 Chaos 17 023119
[15] Rhouma R, Safya B 2007 Chaos 17 033117
[16] Hu G J, Feng Z J, Meng R L 2003 IEEE Trans. Circuits Syst-I 50 275
[17] Wang K, Pei W J, Yi Shen, Wang S P 2009 Phys. Lett. A 374 44
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