Application of periodic orbit theory in chaos-based security analysis
Long Min(龙敏)a) and Qiu Shui-Sheng(丘水生)b)
a College of Computer and Communication, Changsha University of Science and Technology, Changsha 410076, China; b College of Electronic & Engineering, South China Univ. of Technology, Guangzhou 510640, China
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.
Received: 22 August 2006
Revised: 20 November 2006
Accepted manuscript online:
PACS:
05.45.Vx
(Communication using chaos)
Cite this article:
Long Min(龙敏) and Qiu Shui-Sheng(丘水生) Application of periodic orbit theory in chaos-based security analysis 2007 Chinese Physics 16 2254
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
