Cryptography based on delayed chaotic neural networks

In this Letter, a novel approach of encryption based on chaotic Hopfield neural networks with time varying delay is proposed. We use the chaotic neural network to generate binary sequences which will be used for masking plaintext. The plaintext is masked by switching of chaotic neural network maps and permutation of generated binary sequences. Simulation results were given to show the feasibility and effectiveness in the proposed scheme of this Letter. As a result, chaotic cryptography becomes more practical in the secure transmission of large multi-media files over public data communication network.

[1]  T. Kohda,et al.  Statistics of chaotic binary sequences , 1997, IEEE Trans. Inf. Theory.

[2]  J J Hopfield,et al.  Neurons with graded response have collective computational properties like those of two-state neurons. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[3]  Jinde Cao,et al.  Synchronization in an array of linearly coupled networks with time-varying delay ☆ , 2006 .

[4]  X. Liao,et al.  A novel block cryptosystem based on iterating a chaotic map , 2006 .

[5]  M. Baptista Cryptography with chaos , 1998 .

[6]  Hongtao Lu Chaotic attractors in delayed neural networks , 2002 .

[7]  Henry D. I. Abarbanel,et al.  Synchronizing High-Dimensional Chaotic Optical Ring Dynamics , 1998 .

[8]  Jinde Cao,et al.  Adaptive synchronization of neural networks with or without time-varying delay. , 2006, Chaos.

[9]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[10]  Wolfgang Kinzel,et al.  Public channel cryptography by synchronization of neural networks and chaotic maps. , 2003, Physical review letters.

[11]  Rong He,et al.  Implementation of chaotic cryptography with chaotic synchronization , 1998 .

[12]  Jinde Cao,et al.  Global synchronization in arrays of delayed neural networks with constant and delayed coupling , 2006 .

[13]  Jinde Cao,et al.  Global point dissipativity of neural networks with mixed time-varying delays. , 2006, Chaos.

[14]  Jinde Cao,et al.  Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. , 2005, Chaos.

[15]  M G Cosenza,et al.  Coupled map networks as communication schemes. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Wolfgang Kinzel,et al.  Public-channel cryptography using chaos synchronization. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  K. Wong,et al.  A fast chaotic cryptographic scheme with dynamic look-up table , 2002 .

[18]  D. Vernon Inform , 1995, Encyclopedia of the UN Sustainable Development Goals.

[19]  V I Ponomarenko,et al.  Extracting information masked by the chaotic signal of a time-delay system. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Pei Yu,et al.  Steps towards improving the security of chaotic encryption. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.