Symmetric cryptography is finding new uses due of the emergence of novel and more complex computing environments, many of which are based on sophisticated Zero-Knowledge (ZK) and Multi-Party Computation (MPC) protocols. These new uses often call for dedicated symmetric algorithm designs, typically natively described over large finite fields of odd characteristic (rather than in binary fields). The COSINUS Associate Team will combine the expertises at COSMIQ-Inria and Simula UiB, to research and devise novel design and cryptanalytic techniques for this new breed of symmetric cryptography.