Synchronization-based communication systems are presented using hyperchaotic attractors with Lyapunov dimensions D L = 10.02 and D L = 100.02. The transmitted signal containing the encoded message is subject to surrogate data tests in order to unmask and identify the transmission of informations. Using moderate data sets (16K samples) the tests are able to detect the chaotic carrier in the case of the attractor with D L = 10.02 but not for D L = 100.02. These results thus indicate limits for both, the privacy of chaotic communication systems and surrogate data tests.
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Parlitz et al. (1997) studied this question.