With the development of low-orbit satellite Internet systems (NSIS), issues of ensuring effective operation in conditions of intentional interference come to the fore. One of the solutions is related to the use of systems using both OFDM methods and generators implementing frequency hopping (HF). Obviously, the more complex the algorithm for selecting operating frequencies, the more efficient the operation of the microwave. In the article, it is proposed to use the SPN cipher "Grasshopper" as a generator for selecting operating frequencies. As a result, the CCF system will have a high resistance to calculating operating frequency numbers by electronic warfare systems. However, failures and failures may occur during the operation of the SSC. To prevent their consequences, it is proposed to implement an SPN cipher using polynomial modular codes of residue classes (PMCC). One of the transformations in the "Grasshopper" is a nonlinear transformation that performs the substitution operation. It is obvious that the creation of a new mathematical model for performing a nonlinear transformation using MCCS will ensure the operation of the SPN-cipher-based RF generator in conditions of failures and failures.

Keywords: low-orbit satellite Internet systems, the Grasshopper SPN cipher, nonlinear transformations, modular codes of residue classes, mathematical model, fault tolerance, frequency hopping, polynomial modular code of residue classes

One of the directions that makes it possible to increase the efficiency of low-orbit satellite Internet in conditions of destructive influences is the use of OFDM systems that support the frequency hopping mode. It is obvious that the effectiveness of countering interference generated by electronic warfare (EW) is largely determined by the algorithm for selecting operating frequencies. In this paper, it is proposed to implement a block of SSF based on the SPN cipher "Grasshopper", which provides high resistance to the selection of the operating frequency by the SREB. However, in the event of failures and failures in the operation of such a unit, the transmitter and receiver operating in the microwave mode will not be able to establish information transmission. To solve this problem, the article proposes to use polynomial modular residue class codes (PMCCS). However, the analysis of the well-known error correction algorithms in PMCS has shown that they cannot be used to increase the reliability of the SPN-based CCF unit.

Keywords: Keywords: OFDM systems supporting frequency hopping, pseudorandom number generation methods, Grasshopper SPN cipher, polynomial modular residue class codes, error correction algorithm

The prospects for building a satellite Internet based on a low-orbit constellation of satellites (LOСS) are due to the fact that only it allows for stable and reliable communications anywhere on the planet. Therefore, the technology of satellite industrial Internet of things IIoT has become widespread in the oil and gas industry, many of whose facilities are located in the Far North. However, when using satellite low-orbit Internet (SLOEI), new threats and attacks arise against it. Among attacks on LOCS, a special place is occupied by attempts to impose unauthorized content on SLOEI subscribers. This situation can be prevented using a satellite identification system. For the effective operation of the “friend or foe” challenge-response system for LOCS, a copy-resistant authentication protocol with zero knowledge disclosure was developed. This property was achieved by reducing authentication time through the use of modular deduction class codes (MDCC). The use of parallel VDCC codes has led to a change in the method of satellite identification, which entails a revision of the principles for constructing a request-response system. Therefore, the development of a block diagram of a satellite identification system operating in the MDCC for a low-orbit satellite Internet system is relevant.

Keywords: imitation resistance, zero-knowledge authentication protocol, modular codes of residue classes, block diagram of the low-orbit satellite identification system