Application of Modular Residue Classes Codes in an Authentication Protocol for Satellite Internet Systems

The use of a satellite Internet systems (SIS) makes it possible to effectively support technologies such as the Industrial Internet of Things (IIoT). This technology is especially relevant for oil and gas industry enterprises implementing the development of deposits located on the shelf of the Arctic Ocean. As the number of countries and companies engaged in the development of deposits in the Arctic Ocean increases, the number of groupings of low-orbit satellites increases as well. This can lead to a situation when an intruder satellite intercepts a control command and then imposes it on a receiver located on an unattended object. It is possible to reduce the effectiveness of such relay spoofing interference by using the satellite authentication protocol. The conducted studies have shown that authentication protocols with zero-knowledge proof have high cryptographic resistance to a satellite response being correctly picked up. However, they have a drawback. It is a significant time spent on determining the status of the satellite, which is caused by the fact that calculations are performed using a large module (128 or more digits). This disadvantage can be eliminated by using modular residue classes codes (MRCC).