Additive mixing modulation for public key encryption based on distributed dynamics

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 52, Issue 3, 2005, Pages 672-679

  Tenny, Roy ^a   Tsimring, Lev S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Chaos; Nonlinear dynamics; Public key encryption

Indexed keywords

ALGORITHMS; CHAOS THEORY; DECODING; DYNAMICS; PULSE AMPLITUDE MODULATION; SECURITY OF DATA; SIGNAL RECEIVERS; TRANSMITTERS;

CHAOTIC NONLINEAR DYNAMICS; DISTRIBUTED DYNAMICS ENCRYPTION;

PUBLIC KEY CRYPTOGRAPHY;

EID: 16344390982     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.842870     Document Type: Article

References (23)

1. R. Tenny, L. S. Tsimring, L. E. Larson, and H. D. I. Abarbanel, "Using distributed nonlinear dynamics for public key encryption," Phys. Rev. Lett., vol. 90, no. 4, 2003.
2. R. Tenny, L. S. Tsimring, H. D. I. Abarbanel, and L. E. Larson, "Asymmetric key encryption using distributed chaotic nonlinear dynamics," in Proc. IASTED Int. Conf. Communications Internet and Information Technology, St. Thomas, U.S. Virgin islands, Nov. 2002, pp. 338-345.
3. R. Rivest, A. Shamir, and L. Adleman, "A method for obtaining digital signatures and public key cryptosystems," Comm. ACM, vol. 21, pp. 120-126, Feb. 1978.
4. V. S. Miller, "Use of elliptic curves in cryptology," in Crypto, vol. 85, 1978, pp. 417-426.
5. R. C. Merkle and M. E. Hellman, "Hiding information and signatures in trapdoor knapsacks," IEEE Trans. Inf. Theory, vol. IT-24, no. 5, pp. 525-530, Sep. 1978.
6. T. El-Gamal, "A public key cryptosystem and signature scheme based on discrete logarithms," in Proc. Crypto Advances in Cryptology, , vol. 84, Berlin, Germany, 1985, pp. 10-18.
7. H. C. A. Van-Tilborg, Fundamentals of Cryptology. Norwell, MA: Kluwer, 2000.
8. H. Dedieu, M. P. Kennedy, and M. Hasler, "Chaos shift keying: Modulation and demodulation of a chaotic carrier using self-synchronizing chua's circuits," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 40, no. 10, pp. 634-642, Oct. 1993.
9. T. L. Carroll and L. M. Pecora, "Cascading synchronized chaotic systems," Phys. D, vol. 67, pp. 126-140, 1993.
10. A. R. Volkovskii and N. Rulkov, "Synchronouns chaotic response of a nonlinear ocsillating system as a principle for the detection of the information component of chaos," Tech. Phys. Lett., vol. 19, pp. 97-99, 1993.
11. K. M. Cuomo and A. V. Oppenheim, "Circuit implementation of synchronized chaos with application to communications," Phys. Rev. Lett., vol. 71, no. 1, pp. 65-68, 1993.
12. U. Parlitz, L. Kocarev, T. Stojanovski, and H. Preckel, "Encoding messages using chaotic synchronization," Phys. Rev. E., vol. 53, pp. 4351-4361, 1996.
13. S. Hayes, C. Grebogi, E. Ott, and A. Mark, "Experimental control of chaos for communication," Phys. Rev. Lett., vol. 73, no. 13, pp. 1781-1784, 1994.
14. Y. Lai, E. Bollt, and C. Grebogi, "Communicating with chaos using two-dimensional symbolic dynamics," Phys. Lett. A, vol. 255, pp. 75-81, 1999.
15. T. Yang, L.-B. Yang, and C.-M. Yang, "Breaking chaotic secure communication using a spectrogram," Phys. Lett. A, vol. 247, pp. 105-111, 1998.
16. T. Yang, L.-B. Yang, and C.-M. Yang, "Breaking chaotic switching using generalized synchronization: Examples," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 45, no. 10, pp. 1062-1067, Oct. 1998.
17. J. B. Geddes, K. M. Short, and K. Black, "Extraction of signals from chaotic laser data" Phys. Rev. Lett., vol. 83, no. 25, pp. 5389-5392, 1999.
18. M. K. Short, "Steps toward unmasking secure communications," Int. J. Bifurc. Chaos, vol. 4, no. 4, pp. 959-977, 1994.
19. M. K. Short, "Unmasking a modulated chaotic communications scheme," Int. J. Bifurc. Chaos, vol. 6, no. 2, pp. 367-375, 1996.
20. T. L. Carroll and L. M. Pecora, "Using multiple attractor chaotic systems for communication," Chaos, vol. 9, no. 2, pp. 445-451, Jun. 1999.
21. H. D. I. Abarbanel, Analysis of Observed Chaotic Data. New-York: Springer-Verlag, 1996.
22. H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, and L. S. Tsimring, "The analysis of observed chaotic data in physical systems ," Rev. Mod. Phys., vol. 65, pp. 1331-1392, 1993.
23. Univ. California at San Diego. DDE Overview. Online. Available: http://inls.ucsd.edu/~roy/DDE/MainPage/312003