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Cloud services have become an increasingly popular solution to provide different services to clients. One of the cloud services is database as a service (DBaaS), in which the service provider offers different resources such as software, hardware and network to the clients to be able to manage and administer the database. However, the data and the execution of database queries are under control of the distrustful service provider. This lack of trust opens up new security issues and serves as the chief motivation of our work. This study presents an overview of different cryptographic algorithms, based on different schemes in the outsourced database security and query authentication. We conclude the paper by proposing a new architecture that achieves the confidentiality and integrity of query results of the outsourced database.