Applied Algebra

Coding theory and cryptography build the two main pillars on which we base our modern digital world. 
The communication channels and systems we rely on daily are not only vulnerable to errors but also to attacks. 
Coding theory addresses these challenges by enabling error correction in data transmission, ensuring reliability in data storage and retrieval. On the other hand, cryptography ensures the security and privacy of these interactions. Both disciplines are based on algebraic concepts and rich of mathematical structures.

As technology evolves, so do the challenges. Among the most critical is the threat posed by capable quantum computers, which render all of our current public-key cryptosystems insecure. Addressing this urgent need, our Focus Group specializes in post-quantum cryptography — designing cryptosystems that can withstand quantum attacks. 
One of the most promising candidates for such a cryptographic system is based on algebraic codes. Our focus group works on constructing and analyzing the security of these systems and exploring novel mathematical frameworks to advance their development.

The Focus Group is headed by Rudolf Mößbauer Tenure Track Assistant Professor Violetta Weger.