Return-Map Cryptanalysis Revisited
<|reference_start|>Return-Map Cryptanalysis Revisited: 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.<|reference_end|>
@article{li2005return-map,
    title={Return-Map Cryptanalysis Revisited},
    author={Shujun Li, Guanrong Chen and Gonzalo 'Alvarez},
    journal={International Journal of Bifurcation and Chaos, vol. 16, no. 5,
  pp. 1557-1568, 2006},
    year={2005},
    doi={10.1142/S0218127406015507},
    archivePrefix={arXiv},
    eprint={nlin/0501018},
    primaryClass={nlin.CD cs.CR}
}