Breaking a chaotic image encryption algorithm based on modulo addition and xor operation

International Journal of Bifurcation and Chaos

Volumn 23, Issue 4, 2013, Pages

  Li, Chengqing ^a   Liu, Yuansheng ^a   Zhang, Leo Yu ^a   Chen, Michael Z Q ^b  

^a XIANGTAN UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Carry bit; Chaos; Chosen plaintext attack; Image encryption

Indexed keywords

CHAOS THEORY; IMAGE PROCESSING;

CHOSEN-PLAINTEXT ATTACK; COMPOSITE FUNCTIONS; IMAGE ENCRYPTION ALGORITHM; IMAGE ENCRYPTIONS; XOR OPERATION;

CRYPTOGRAPHY;

EID: 84877955813     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127413500752     Document Type: Article

References (24)

1. Álvarez, G. & Li, S. [ 2006] " Some basic cryptographic requirements for chaos-based cryptosystems, " Int. J. Bifurcation and Chaos 16, 2129-2151.
2. Chen, G., Mao, Y. & Chui, C. K. [2004] "A symmetric image encryption scheme based on 3D chaotic cat maps, " Chaos Solit. Fract. 21, 749-761.
3. Chen, J., Zhou, J. & Wong, K.-W. [2011] "A modified chaos-based joint compression and encryption scheme, " IEEE Trans. Circuits Syst.-II 58, 110-114.
4. Chen, F., Wong, K.-W., Liao, X. & Xiang, T. [2012] "Period distribution of generalized discrete Arnold cat map for N = pe, " IEEE Trans. Inform. Th. 58, 445-452.
5. Gangadhar, C. & Rao, K. D. [2010] "Hyperchaos based image encryption, " Int. J. Bifurcation and Chaos 19, 3833-3839.
6. Li, S. & Zheng, X. [2002] "Cryptanalysis of a chaotic image encryption method, " Proc. IEEE Int. Symp. Circuits and Systems, pp. 708-711.
7. Li, S., Chen, G. & Mou, X. [2004] "On the security of the Yi-Tan-Siew chaotic cipher, " IEEE Trans. Circuits Syst.-II: Express Briefs 51, 665-669.
8. Li, C., Li, S., Zhang, D. & Chen, G. [2005a] "Chosenplaintext cryptanalysis of a clipped-neural-networkbased chaotic cipher, " Lecture Notes in Computer Science, Vol. 3497, pp. 630-636.
9. Li, S., Chen, G. & Mou, X. [2005b] "On the dynamical degradation of digital piecewise linear chaotic maps, " Int. J. Bifurcation and Chaos 15, 3119-3151.
10. Li, C., Li, S. & Lou, D.-C. [2006] "On the security of the Yen-Guo's domino signal encryption algorithm (DSEA), " J. Syst. Softw. 79, 253-258.
11. Li, S., Li, C., Chen, G. & Lo, K.-T. [2008] "Cryptanalysis of the RCES/RSES image encryption scheme, " J. Syst. Softw. 81, 1130-1143.
12. Li, C., Li, S., Asim, M., Nunez, J., Alvarez, G. & Chen, G. [2009] "On the security defects of an image encryption scheme, " Imag. Vis. Comput. 27, 1371-1381.
13. Li, C., Arroyo, D. & Lo, K.-T. [2010] "Breaking a chaotic cryptographic scheme based on composition maps, " Int. J. Bifurcation and Chaos 20, 2561-2568.
14. Li, C., Chen, M. Z. Q. & Lo, K.-T. [2011] "Breaking an image encryption algorithm based on chaos, " Int. J. Bifurcation and Chaos 21, 3518-3524.
15. Paul, S. & Preneel, B. [2005] "Near optimal algorithms for solving differential equations of addition with batch queries, " Lecture Notes in Computer Science, Vol. 3797, pp. 90-103.
16. Rao, K. & Gangadhar, C. [2007] "Modified chaotic keybased algorithm for image encryption and its VLSI realization, " Proc. 2007 15th Int. Conf. Digital Signal Processing, pp. 439-442.
17. Socek, D., Li, S., Magliveras, S. S. & Furht, B. [2005] "Enhanced 1-D chaotic key-based algorithm for image encryption, " Proc. First IEEE/CreateNet Int. Conf. Security and Privacy for Emerging Areas in Communication Networks (SecureComm 2005), pp. 406-408.
18. Solak, E., Cokal, C., Yildiz, O. T. & Biyikoglu, T. [2010a] "Cryptanalysis of Fridrich's chaotic image encryption, " Int. J. Bifurcation and Chaos 20, 1405-1413.
19. Solak, E., Rhouma, R. & Belghith, S. [2010b] "Cryptanalysis of a multi-chaotic systems based image cryptosystem, " Opt. Commun. 283, 232-236.
20. Takahashi, Y., Nakano, H. & Saito, T. [2004] "A simple hyperchaos generator based on impulsive switching, " IEEE Trans. Circuits Syst.-II: Express Briefs 51, 468-472.
21. Wang, X., Lai, X., Feng, D., Chen, H. & Yu, X. [2005] "Cryptanalysis of the hash functions MD4 and RIPEMD, " Lecture Notes in Computer Science, Vol. 3494, pp. 1-18.
22. Xiao, D., Liao, X. & Wong, K.-W. [2006] "Improving the security of a dynamic look-up table based chaotic cryptosystem, " IEEE Trans. Circuits Syst.-II: Express Briefs 53, 502-506.
23. Yen, J.-C. & Guo, J.-I. [2000] "A new chaotic keybased design for image encryption and decryption, " Proc. IEEE Int. Symp. Circuits and Systems, pp. 49-52.
24. Zhou, J. & Au, O. C. [2011] "On the security of chaotic convolutional coder, " IEEE Trans. Circuits Syst.-I 58, 595-606.