AMAKAS: Anonymous Mutual Authentication and Key Agreement Scheme for securing multi-server environments

The rapid growth of Internet users was the motivation of the emerge appearance of new computing models such as cloud computing, fog computing and edge computing. For this reason, the multi-server's architecture has been introduced to extend scalability and accessibility. To ensure that these servers can only be accessed by the authorized users, many authentication and key agreement schemes have been introduced for multi-server environments. In this paper, we propose an anonymous mutual authentication and key agreement scheme for multi-server architecture based on elliptic curve cryptography to achieve the required security services and resist the well-known security attacks. Furthermore, formal and informal security analysis is conducted to prove the security of the proposed scheme. Moreover, we provide a performance comparison with related work in terms of computational cost, communication cost and the number of messages transferred on the public channel. This performance comparison clearly shows that the proposed scheme is highly efficient in terms of computation, communication cost and security analysis as compared to other related schemes which makes the proposed scheme more suitable and practical for multi-server environments than other related schemes.