## 1 Introduction
The integration of the theory of cryptography and the theory of the construction of parallel arithmetic RCPR allowed for developing an authentication protocol that takes minimal time to identify the satellite before starting a communication session with it. Due to this property, a rogue satellite will have less time to guess the correct prover's signal, which will reduce the probability of the second-order error (the authorization of content from a rogue satellite). This will result in the improved cybersecurity of the satellite IoV. The effectiveness of an authentication system is evaluated by the first-order errors along with the second-order errors. In cybersecurity, the first-order error is associated with the denial of access to the system to an authorized user. This can be caused by various destructive effects on the satellite IoV. A special place among the destructive impacts of a natural character on LOSI systems is occupied by interferences in the communication channel, which are caused by inhomogeneities of the ionosphere of northern latitudes [17]. As a result, when data are exchanged between the OBU and the satellite RSU, received messages will contain error bursts that distort the transmitted data. The goal of the paper is to develop a ZKAP based on a noise-resistant modular code, the application of which will simultaneously improve the imitation resistance to spoofing and the noise resistance of IoV. In order to achieve this goal, the paper considers a solution that allows for simultaneously counteracting such destructive effects of anthropogenic and natural characters. Figure 3: Imposition of the spoofing interference by a rogue satellite. The basis of this solution is a zero-knowledge authentication protocol based on a modular polyalphabetic polynomial code. At the same time, the integration of the theory of noise resistance and the theory of construction of redundant modular codes allowed for developing an algorithm for the correction of error bursts arising from interference. The scientific novelty of the developed protocol consists in the fact that one redundant MPPC is used instead of using two codes (arithmetic and error-correction ones) in order to solve the problems of increasing the level of cybersecurity and noise resistance of satellite IoV. In this case, the use of a single algebraic system will simultaneously reduce the probabilities of first- and second-order errors. As a result, the cybersecurity of satellite IoV will be improved. The new scientific results of this paper are  
* ZKAP based on modular polyalphabetic polynomial codes. The use of MPPC codes allows for reducing the time needed for satellite authentication due to parallel computations. Thus, a rogue satellite has less time to guess the prover's signal. As a result, the probability of a rogue satellite being granted a communication session is reduced and the imitation resistance of the satellite IoV is increased. * A new algorithm for error correction in redundant MPPC that has less time to locate and correct errors that occur due to interference in the data exchange between the prover and the verifier. * A new algorithm for computing redundant residues for the noise-resistant MPPC, which has minimal time overhead compared to previously known residue tuple expansion algorithms. The structure of the paper is as follows. Section 2 presents an analysis of the works on the cybersecurity of VANET. Section 3 shows the principles of organization of computations in a modular polyalphabetic polynomial code and presents the implementation of the ZKAP based on MPPC. Section 4 describes the developed algorithms of error bursts correction and bases expansion in a modular polyalphabetic polynomial code. Section 5 summarizes the results of the evaluation of the effectiveness of the cybersecurity of satellite IoV due to the developed noise-resistant ZKAP based on MPPC.