Abstract
The used cryptographic primitives rely on the computational difficulty of certain mathematical problems. In the last years there has been much research on quantum computers which could be able to efficiently solve these problems in future years. Especially asymmetric primitives, used for authentication and key exchange could be broken. The affected algorithms are actually used within many internet protocols and applications and quantum-safe alternatives are urgently needed. NIST started a process to find and standardize quantum-safe digital signature schemes and key establishment schemes, but the candidates and alternatives come along with specific characteristics and differ from classical proceedings. So, besides analyzing the security of these new algorithms, it is also necessary to evaluate their performance and integrability into existing infrastructures and applications. Especially the integration into TLS protocol, used within about 90 percent of today’s internet connections, plays an important role. The current version 1.3 uses the threatened asymmetric primitives for both, digital signatures and key establishment.
