The field of PQC has gained significant attention from both the scientific and industrial communities in the past decades because it provides practical solutions to face the threat that quantum computers pose to nowadays secure communications. A current standardization process is about to define which quantum-resistant public key encryption, key encapsulation mechanisms and digital signatures will be replacing current key agreement and digital signature standards. Although these primitives are crucial to protect a considerable portion of the Internet’s traffic, there are functionalities that still don’t have a clear and practical quantum-resistant alternative. The work to be carried out as part of this project focus on conducting research on quantum-resistant cryptographic primitives to complement the upcoming PQC standards.