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In electronic voting or whistle blowing, anonymity is necessary. Shuffling is a network security technique
that makes the information sender anonymous. We use the concept of shuffling in internet-based lotteries,
mental poker, E-commerce systems, and Mix-Net. However, if the shuffling is unjust, the anonymity,
privacy, or fairness may be compromised. In this paper, we propose the method for confirming fair
mixing by finding a fixed point in the mix system and we can keep the details on ‘how to shuffle’ secret.
This method requires only two steps and is efficient.