In this paper, a sealed-bid auction protocol which mainly focuses on security issues: bid privacy, bidder anonymity and fairness problem is presented. The new proposal is motivated by the conflict between bidder anonymity and DOS (Denial-Of-Service) attack from insider. It utilizes an efficient LPN-based authentication method to accomplish lightweight authentication. In order to share the determination process data, the market constructs a simple interpolating polynomial to those suppliers who participated in this auction. Sharing the determination process data can totally avoid collusion between a customer and a certain supplier and achieve public verifiability. Also, the proposed scheme relaxes the trust assumptions for three-party. According to comparison and analysis with other protocols, the proposed protocol requires less computation cost.