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Physical generation of random numbers using an asymmetrical Boolean network |
| Hai-Fang Liu(刘海芳)1,2, Yun-Cai Wang(王云才)3,4, Lu-Xiao Sang(桑鲁骁)1,2, and Jian-Guo Zhang(张建国)1,2,† |
1 Key Laboratory of Advanced Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China;
2 College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China;
3 Guangdong Provincial Key Laboratory of Photonics Information Technology, Guangzhou 510006, China;
4 School of Information Engineering, Guangdong University of Technology, Guangzhou 510006, China |
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Abstract Autonomous Boolean networks (ABNs) have been successfully applied to the generation of random number due to their complex nonlinear dynamics and convenient on-chip integration. Most of the ABNs used for random number generators show a symmetric topology, despite their oscillations dependent on the inconsistency of time delays along links. To address this issue, we suggest an asymmetrical autonomous Boolean network (aABN) and show numerically that it provides large amplitude oscillations by using equal time delays along links and the same logical gates. Experimental results show that the chaotic features of aABN are comparable to those of symmetric ABNs despite their being made of fewer nodes. Finally, we put forward a random number generator based on aABN and show that it generates the random numbers passing the NIST test suite at 100 Mbits/s. The unpredictability of the random numbers is analyzed by restarting the random number generator repeatedly. The aABN may replace symmetrical ABNs in many applications using fewer nodes and, in turn, reducing power consumption.
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Received: 16 January 2021
Revised: 25 March 2021
Accepted manuscript online: 06 April 2021
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PACS:
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05.45.Gg
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(Control of chaos, applications of chaos)
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64.60.aq
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(Networks)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61731014, 61671316, 61961136002, and 61927811) and the Fund from the Shanxi Scholarship Council of China (Grant No. 2017-key-2). |
Corresponding Authors:
Jian-Guo Zhang
E-mail: zhangjianguo@tyut.edu.cn
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Cite this article:
Hai-Fang Liu(刘海芳), Yun-Cai Wang(王云才), Lu-Xiao Sang(桑鲁骁), and Jian-Guo Zhang(张建国) Physical generation of random numbers using an asymmetrical Boolean network 2021 Chin. Phys. B 30 110503
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