中文摘要：

为解决现有的TTP-free协议不能高效抵抗多个不诚实用户与基于位置的服务（LBS）提供商合谋攻击的问题,该文提出一种基于安全多方求和（SMS）与可验证私密分享（VSS）的位置隐私保护协议。采用SMS计算位置匿名中心,采用VSS进行位置加密,实现位置隐私保护并验证合作用户数据正确性。实验分析显示该协议能有效应对外部攻击和内部攻击,并侦查不诚实的合作用户,为LBS提供高质量位置隐私保护。

英文摘要：

To solve the problem that the existing TTP-free protocols cannot resist attacks from multiple dishonest users colluding with a location-based services （ LBS ） provider （ P ） efficiently , a location privacy-preserving protocol based on secure multi-party sum （ SMS ） and verifiable secret sharing（VSS）is proposed.SMS is used to compute the centroid sent to P as a cloaking location and VSS is used to encrypt the location ,and location privacy-preserving is realized and the correctness of the cooperative user data is verified .Experiments show that the protocol can resist the passive and active attacks from insiders and outsiders and detect dishonest cooperative users efficiently , and it＆amp;nbsp;can provide strong location privacy-preserving for LBS .