Cryptography-based security solutions heavily rely on cryptographic primitives such as encryption and signature schemes. However, existing primitives are threatened by attacks which are made possible by new computing architectures and algorithms. Also, new cryptographic solutions require efficient primitives with new functionalities such as fully homomorphic encryption. Thus, the goal of this project area is the development of the required cryptographic primitives. They must be efficient in present and future computing environments, and must resist novel attacks due to new hardware platforms and algorithmic advances.