Summary
This project focuses on the security and efficiency of certain cryptosystems. Since currently used systems are vulnerable to attacks by quantum computers, it is essential to develop and analyze alternatives that are resistant to quantum computers, so that they remain secure in a post-quantum world. This project investigates both the classical and post-quantum security of cryptosystems based on supersingular isogenies, as well as lattice-based schemes proposed as replacements for currently used systems. The need for such work is increasingly urgent: advances in building quantum computers contin