The proposed authentication method provides a security service based on the synthesis (modification) of the fast UMAC algorithm, based on cascade hashing and a lightweight block symmetric cipher (LBSC). The use of such a combination of algorithms provides the necessary level of stability, speed and reliability of information in the post-quantum period. The proposed method of exchanging information via wireless channels ensures their practical application on resource-limited devices, such as 3D printers. To form a “dialogue coding” that requires a two-way communication channel (the presence of a receiver and a transmitter at each device), we use a fast hashing algorithm and ensure the stability of the hash code with a pseudo-substrate based on LBSC. The main advantage of the proposed authentication scheme is the absence of complex mathematical operations, such as addition and multiplication. Each action (stage) in the proposed scheme is an operation of assigning pre-calculated two-dimensional arrays that must be saved. For the GF(24) field, the addition and multiplication arrays will each have a size of 256 elements. This approach ensures the required level of security for security services, and the use of various noise-resistant codes allows, taking into account the level of information secrecy, to reduce its energy consumption and increase the efficiency of information transfer.