CRYPTOGRAPHY BASED ON CHAOTIC SYNCHRONIZATION: ROUND III

P G Vaidya; Sajini Anand

Paper 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.

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Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. none
Keywords: Chaotic Cryptography Synchronization Secure Communication Super-key
Contact author(s): pgvaidya @ nias iisc ernet in
History: 2005-08-17: received
Short URL: https://ia.cr/2005/273
License: CC BY

BibTeX

@misc{cryptoeprint:2005/273,
      author = {P G Vaidya and Sajini Anand},
      title = {{CRYPTOGRAPHY} {BASED} {ON} {CHAOTIC} {SYNCHRONIZATION}: {ROUND} {III}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/273},
      year = {2005},
      url = {https://eprint.iacr.org/2005/273}
}