Return-Map Cryptanalysis Revisited

Details Return-Map Cryptanalysis Revisited Return-Map Cryptanalysis Revisited

2005-01-08

arxiv.org/abs/nlin/0501018v2

International Journal of Bifurcation and Chaos, vol. 16, no. 5, pp. 1557-1568, 2006

Nonlinear Sciences

Chaotic Dynamics

11 pages, 7 figures

Scientific paper

10.1142/S0218127406015507

As a powerful cryptanalysis tool, the method of return-map attacks can be used to extract secret messages masked by chaos in secure communication schemes. Recently, a simple defensive mechanism was presented to enhance the security of chaotic parameter modulation schemes against return-map attacks. Two techniques are combined in the proposed defensive mechanism: multistep parameter modulation and alternative driving of two different transmitter variables. This paper re-studies the security of this proposed defensive mechanism against return-map attacks, and points out that the security was much over-estimated in the original publication for both ciphertext-only attack and known/chosen-plaintext attacks. It is found that a deterministic relationship exists between the shape of the return map and the modulated parameter, and that such a relationship can be used to dramatically enhance return-map attacks thereby making them quite easy to break the defensive mechanism.

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