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In this paper a new multi-candidate electronic voting scheme is constructedwith unlimited participants. The main idea is to express a ballot to allowvoting for up to k out of the m candidates and unlimited participants. Thepurpose of vote is to select more than one winner among $m$ candidates. Ourresult is complementary to the result by Sun peiyong$'$ s scheme, in the sense,their scheme is not amenable for large-scale electronic voting due to flaw ofballot structure. In our scheme the vote is split and hidden, and tallying ismade for $G\ddot{o}del$ encoding in decimal base without any trusted thirdparty, and the result does not rely on any traditional cryptography orcomputational intractable assumption. Thus the proposed scheme not only solvesthe problem of ballot structure, but also achieves the security includingperfect ballot secrecy, receipt-free, robustness, fairness anddispute-freeness.

A multi-candidate electronic voting scheme with unlimited participants