Synchronization of chaotic systems using feedback controller: An application to Diffie–Hellman key exchange protocol and ElGamal public key cryptosystem | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 22, Issue 3, October 2014, Pages 365-372 PDF (3.39 M) | ||
| Document Type: Original Article | ||
| Authors | ||
| P. Balasubramaniam; P. Muthukumar | ||
| Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram - 624 302, Tamilnadu, India | ||
| Abstract | ||
| In this paper, designing an appropriate linear and nonlinear feedback control, the two identical integer order chaotic systems are synchronized by analytically and numerically. It has been realizing that, synchronization using linear feedback control method is efficient than nonlinear feedback control method due to the less computational complexity and the synchronization error. ElGamal public key cryptosystem is described through the proposed Diffie–Hellman key exchange protocol based on the synchronized chaotic systems using linear feedback control and their security are analyzed. The numerical simulations are given to validate the correctness of the proposed synchronization of chaotic systems and the ElGamal cryptosystem. | ||
| Keywords | ||
| Chaos; Feedback control; Synchronization; Cryptography | ||
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