Application of periodic orbit theory in chaos-based security analysis |
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| Authors: | Long Min and Qiu Shui-Sheng |
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| Affiliation: | College of Computer and Communication, Changsha University of Science and Technology, Changsha 410076, China; College of Electronic & Engineering, South China Univ. of Technology, Guangzhou 510640, China |
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| Abstract: | Chaos-based encryption schemes have been studied extensively,
while the security analysis methods for them are still problems
to be resolved. Based on the periodic orbit theory, this paper
proposes a novel security analysis method. The periodic orbits
theory indicates that the fundamental frequency of the spiraling
orbits is the natural frequency of associated linearized system,
which is decided by the parameters of the chaotic system. Thus,
it is possible to recover the plaintext of secure communication
systems based on chaotic shift keying by getting the average
time on the spiraling orbits. Analysis and simulation results
show that the security analysis method can break chaos shift
keying secure communication systems, which use the parameters as
keys. |
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| Keywords: | periodic orbit theory secure
communication chaos-based security analysis |
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