Secure first-price sealed-bid auction scheme

In modern times, people have paid more attention to their private information. The data confidentiality is very important in many economic aspects. In this paper, we proposed a secure auction system, in which the bids will not be revealed, and no one can fake the winning identity and the winner cannot change the winning bid. The communication cost of our scheme is low; only two rounds communication are needed between the bidders and the auctioneer. And we show that our scheme achieves the desired security requirements.