¹Lab of ICSE, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, 310018, China
²Faculty of Education, Yamaguchi University, 1677-1 Yoshida, Yamaguchi 753-8513, Japan

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Abstract—In this paper, we present a new method to build public-key Cryptosystem. The method is based on the state explosion problem occurred in the computing of average number of tokens in the places of Stochastic Petri Net (SPN). The reachable markings in the coverability tree of SPN are used as the encryption keys. Accordingly, multiple encryption keys can be generated, thus we can perform multiple encryption to get as strong security as we expect. The decryption is realized through solving a group of ordinary differential equations from Continuous Petri Net (CPN), which has the same underlying Petri net as that of SPN. The decipherment difficulty for attackers is in exponential order. The contribution of this paper is that we can use continuous mathematics to design cryptosystems besides discrete mathematics.

Index Terms—Public-key cryptosystem, Stochastic Petri net, Continuous Petri net, Multiple encryption.

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Cite: Zuohua Ding, Hui Zhou, Hui Shen, Qi-wei Ge, "A Public-Key Cryptosystem Based On Stochastic Petri Net," Journal of Software vol. 9, no. 1, pp. 94-103, 2014.