Cryptology ePrint Archive: Report 2005/273

CRYPTOGRAPHY BASED ON CHAOTIC SYNCHRONIZATION: ROUND III

P G Vaidya and Sajini Anand

Abstract: This paper discusses cryptography based on the property of chaotic synchronization. Specifically, it is about Round III of such a cryptographic method. Round I showed the feasibility of using chaotic synchronization for cryptography. Round II consisted of a method to counter attack. This paper is Round III and shows how to counter the counter attacks. First, we show numerical evidence that synchronization is possible between two Lorenz systems if one system sends information about $x_0$ at a slower rate. The second system evolves on its own, except that when it receives a signal from the first system, it replaces its own value of $y_0$ by the received $x_0$. We have found that the two systems eventually synchronize, but often after a long time. Therefore, we have devised a technique to speed-up this synchronization. Once this is done, it is possible for the authorized receiver (with the possession of the initial super-key) to keep synchronizing with slowly sampled inputs, whereas the known methods of Round II do not help an eavesdropper.

Category / Keywords: secret-key cryptography / Chaotic Cryptography, Synchronization, Secure Communication, Super-key

Publication Info: none

Date: received 16 Aug 2005

Contact author: pgvaidya at nias iisc ernet in

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Version: 20050817:195719 (All versions of this report)

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