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

Low-orbit satellite communication systems (LowSCS) are successfully used to organize stable communication in Northern latitudes. With the help of theLowSCS, effective management and monitoring of the process of production and transportation of hydrocarbon raw materials is provided. This approach allows us to ensure minimal costs for the extraction and delivery of oil and gas from fields located on the shelf of the Arctic Ocean. As the number of countries engaged in the development of Arctic Ocean deposits increases, so does the number of LowSCS groupings. To prevent the possibility of interception and imposition of a delayed command to control the intruder satellite, it is necessary to increase the information secrecy of the LowSCS with the help of "friend-foe" identification systems for the spacecraft. At the same time, to ensure high imitability in such systems, it is proposed to use zero-knowledge authentication protocols. To increase their efficiency, the article suggests using the codes of residual number system (RNS). The novelty of this idea is that the use of parallel SOC codes will reduce the time spent on performing arithmetic operations implemented in authentication protocols. And this, in turn, will lead to an increase in the information secrecy of the NSSS, so the probability of selecting the correct response signal by the intruder satellite decreases. Therefore, the purpose of the article is to develop authentication protocols for low-orbit spacecraft based on parallel codes of residual class systems, the use of which will reduce the time for satellite identification.

Keywords: satellite identification system, zero-knowledge authentication protocols, residue number system

The use of spacecraft identification systems can increase the informational secrecy of low-orbit spacecraft constellations. However, existing methods of recognizing "friend or foe" do not provide high cryptographic strength, and authentication protocols with zero disclosure are time-consuming. This drawback can be eliminated through the use of Polynomial Residue Number Systems (PRNS) that allows parallel computing in the protocol. Therefore, the development of a high-speed authentication protocol with zero disclosure is an urgent task. The purpose of the work is to reduce the time required to calculate the status of the satellite through the use of PRNS

Keywords: authentication method, spacecraft authentication protocol, Polynomial Residue Number Systems

`

Keywords: