DESIGN OF A HYPERCHAOTIC CRYPTOSYSTEM BASED ON IDENTICAL AND GENERALIZED SYNCHRONIZATION

In this paper identical and generalized synchronization and the complex dynamics of hyperchaotic circuits are exploited for designing reliable cryptosystems. Since chaotic additive masking, chaotic switching and chaotic parameter modulation methods can have a low degree of security, an attempt to overcome this drawback is made by utilizing hyperchaotic circuits which make available several chaotic signals. Some of these signals are used to properly synchronize the encrypter and the decrypter in an identical and generalized way. Other chaotic signals are considered for encrypting and decrypting the information messages by means of a multishift cipher scheme. The approach is applied to a communication system constituted by an encrypter and a decrypter each consisting of two coupled Chua's circuits, unidirectionally coupled with two coupled Chua's oscillators. Simulation results are reported to show the performance of the suggested cryptosystem.

[1]  Leon O. Chua,et al.  Transmission of Digital signals by Chaotic Synchronization , 1992, Chua's Circuit.

[2]  Parlitz,et al.  Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. , 1996, Physical review letters.

[3]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[4]  Alan V. Oppenheim,et al.  Synchronization of Lorenz-based chaotic circuits with applications to communications , 1993 .

[5]  Kevin M. Short,et al.  Steps Toward Unmasking Secure Communications , 1994 .

[6]  Leon O. Chua,et al.  Secure communication via chaotic parameter modulation , 1996 .

[7]  Jan Awrejcewicz,et al.  Bifurcation and Chaos , 1995 .

[8]  Ljupco Kocarev,et al.  Subharmonic Entrainment of Unstable Period Orbits and Generalized Synchronization , 1997 .

[9]  H. Abarbanel,et al.  Generalized synchronization of chaos: The auxiliary system approach. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Douglas R. Stinson,et al.  Cryptography: Theory and Practice , 1995 .

[11]  Chai Wah Wu,et al.  A Simple Way to Synchronize Chaotic Systems with Applications to , 1993 .

[12]  Tomasz Kapitaniak,et al.  Birth of double-double scroll attractor in coupled Chua circuits , 1994 .

[13]  L. Tsimring,et al.  Generalized synchronization of chaos in directionally coupled chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  Leon O. Chua,et al.  CHANNEL-INDEPENDENT CHAOTIC SECURE COMMUNICATION , 1996 .

[15]  M. Brucoli,et al.  SYNCHRONIZATION OF HYPERCHAOTIC CIRCUITS VIA CONTINUOUS FEEDBACK CONTROL WITH APPLICATION TO SECURE COMMUNICATIONS , 1998 .

[16]  J. Suykens,et al.  Master-slave synchronization using dynamic output feedback , 1997 .

[17]  Kevin M. Short,et al.  UNMASKING A MODULATED CHAOTIC COMMUNICATIONS SCHEME , 1996 .