We provide a decentralized protocol for location-based services with polylogarithmic communication and computation costs with respect to the number of clients. We prove the following main theorem in Section 7. Theorem 1. Consider n clients in a fully connected syn- chronous network with private channels, where each client has a locational query to send to a server. There exists an n-party protocol such that if all honest clients follow the pro- tocol, then with high probability:
Each honest client sends its query to the server anony- mously and receives the result of query from the server.
The protocol tolerates up to t < (1=6