Abstract: Current electronic auctions have the contradictory problems of third party untrustworthiness and the winning bidder’s need to guarantee both anonymity and legitimacy of identity. To address the above problems, a sealed bidding auction scheme based on noninteractive zeroknowledge proof and nonhomogenized tokens is proposed. First, the auction environment of peertopeer participation is constructed through the characteristics of blockchain decentralization and data tampering, and the bidders’ bids are encrypted by elliptic curve+AES algorithm, so as to improve the privacy of the eauction; and then, the generation and verification of the identity legitimacy of the winning bidder in the case of onchain anonymity are realized through noninteractive zeroknowledge proof. At the same time, the identity legitimacy is used as the elemental material of nonhomogenized tokens to ensure the winning bidder’s ownership of the identity legitimacy authentication on the chain; finally, the experimental results prove that the algorithms used outperform the RSA and ECC algorithms in terms of encryption and decryption efficiency, and the required storage overhead for identity authentication is lower than that of other comparative schemes, which meets the needs of daily auctions.

Key words: blockchain, zeroknowledge proof, elliptic curve, electronic auction, smart contracts

摘要： 当前电子拍卖存在第三方不可信和中标者既要保证身份匿名性又要保证身份合法性这一矛盾问题.针对上述问题，提出一种基于非交互零知识证明和非同质化代币的密封投标拍卖方案.首先，通过区块链去中心化、数据不可篡改等特点构建点对点参与的拍卖环境，并通过椭圆曲线+AES算法对竞拍者的出价加密，从而提高电子拍卖的隐私性；然后，通过非交互零知识证明实现在链上匿名情况下中标者身份合法性的生成和验证，同时，将身份合法性作为非同质化代币的元素素材，保证中标者对链上身份合法性认证的所有权；最后，实验结果证明所用算法在加解密效率方面优于RSA和ECC算法，身份认证所需存储开销低于其他比较方案，满足日常拍卖需求.

关键词: 区块链, 零知识证明, 椭圆曲线, 电子拍卖, 智能合约