In this article, we propose a generic hybrid encryption scheme providing entity authentication. The scheme is based on lossy trapdoor functions relying on the hardness of the Learning With Errors problem. The construction can be used on a number of different security requirements with minimal reconfiguration. It ensures entity authentication and ciphertext integrity while providing security against adaptive chosen ciphertext attacks in the standard model. As a desired characteristic of schemes providing entity authentication, we prove the strong unforgeability under chosen message attack for the construction. In addition, the scheme is post-quantum secure based on the hardness of the underlying assumption.