Abstract
Compared with the static cipher, the dynamic cipher has the characteristic of "one cipher at a time" proposed by Shannon theory. Therefore, it is regarded as the safest among many forms of identity authentication. This paper proposes a five-dimensional chaotic system suitable for the construction of dynamic cipher and analyzes its relevant characteristics, including stability, balance, time-domain waveform, Poincaré cross sectional diagram, Lyapunov exponent and bifurcation diagram. The results show that the chaotic system has multiple controllable parameters and a wide range of chaos, which is very suitable for constructing chaotic dynamic ciphers. The complexity of the proposed chaotic system is analyzed to verify the high security of the proposed system. On this basis, a dynamic cipher electronic lock based on chaotic system is designed in this paper. In the designed hardware circuit, the fourth order Runge–Kutta solving algorithm is used to discretize the constructed system, and the chaos is successfully implemented in the single-chip microcomputer. The phase diagram obtained from the circuit simulation data is basically consistent with the numerical simulation. Finally, the circuits of the handheld terminal and the electronic lock terminal are designed and simulated. The simulation results show that the preset function can be basically realized, and the generated chaotic dynamic cipher is random and irregular. The five-dimensional chaotic system proposed in this paper has complex dynamic characteristics, which makes the dynamic cipher electronic lock based on the chaotic system extremely safe.
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Acknowledgements
This work was supported by the China Postdoctoral Science Foundation funded Project No.2017M622574. Chinese National Natural Science Foundation No. 61973109, Hunan Provincial Degree and Graduate Education Reform Project No. 2020JGYB189; Key Scientific Research Project of Hunan Education Department No. 19A183.
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Wang, J., Yu, W., Wang, J. et al. Design of dynamic cipher electronic lock based on chaotic system. Int. J. Dynam. Control 9, 1505–1522 (2021). https://doi.org/10.1007/s40435-021-00769-5
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DOI: https://doi.org/10.1007/s40435-021-00769-5