Code-Based Cryptography

We all use cryptography in our daily lives. The security of the most popular Public-Key Cryptosystems are based either on the hardness of factoring or the presumed intractability of the discrete logarithm problem. Advances on these problems or the construction of large quantum computers would dramatically change the landscape: Code-Based Cryptography is a powerful and promising alternative.

The objective of this course is to present the state of the art of these cryptosystems. This course covers the essentials that you should know about this hot topic in Cryptography and Coding Theory: the security-reduction proofs, the possible attacks, several proposals to reduce the key-size, etc.

Note that this is a subject close to research, and the field has evolved since the course's creation (2016). This evolution will continue. Everything that is said remains accurate and provides a good basis for anyone interested in the subject, but the gap with the state of the art is increasing over time.