Developments in post-quantum cryptography

DEVELOPMENTS IN POST-QUANTUM CRYPTOGRAPHY ABSTRACT In this thesis, we examined developments in the field of cryptography, a strong domain that is constantly evolving and progressing. We focused on some of the mathematical foundations that have an impact on fundamental aspects such as communication, data security, and crucial investments of our era. In addition, considering the potential threat posed by quantum computers to traditional cryptographic systems, which has been extensively studied due to the ever-changing and progressive nature of the field, we explored recent advancements in the field of post-quantum cryptography that take into account the potential threat of quantum computers to traditional cryptographic systems. In this study, we provided information about NIST's standardization efforts. We also studied on the post-quantum lattice-based Kyber algorithm and the Dilithium scheme.