Development of A Method for Estimating the Effect of Transformation of the Normalized Frequency Mismatch Function of A Coherent Bundle of Radio Pulses on the Quality of Radar Frequency Resolution

The necessity of studying the influence of the transformation of the frequency mismatch function of a coherent bundle of radio pulses on the quality of solving the radar frequency resolution problem is substantiated. This solution determines the effectiveness of radar observation of high-speed and maneuvering individual and group aerodynamic objects. The method is based on explicit expressions for calculating the normalized frequency mismatch function of a coherent bundle of radio pulses, taking into account its transformation due to the radial motion of high-speed and maneuvering individual and group aerodynamic objects. The estimation of the potential frequency resolution of bundles with different numbers of radio pulses with typical parameters for a coherent pulse radar is carried out. Possible values of frequency resolution under the additive effect of uncorrelated internal noise of the radar receiver and the multiplicative effect of correlated phase fluctuations of the radar signal are estimated. With an insignificant multiplicative effect of correlated phase fluctuations, a twofold increase in the number of radio pulses in a bundle provides an improvement in the frequency resolution (reduction of the width of the normalized frequency mismatch function) by 100 %. With the predominant multiplicative effect of these fluctuations, a twofold increase in the number of radio pulses results in an improvement in the frequency resolution by about 40 %. The developed method is of great theoretical and practical importance for the further development of the radar theory of high-speed and maneuvering individual and group aerodynamic objects

Development and Analysis of Game-theoretical Models of Security Systems Agents Interaction

A game-theoretic approach is presented, which claims to be a universal method for solving most problems in the field of cybersecurity. As arguments to confirm the superiority of game theory, mathematical validity and provability of the optimality of decisions made, unlike the widely used heuristics, the possibility of developing reliable protection based on analytical results, ensuring a timely response to cyberattacks in conditions of limited resources, as well as distributed nature of decision making are highlighted.The definitions of the basic concepts used in security tasks based on game-theoretic models are introduced.The features of the application of game theory methods in the field of cybersecurity are listed and the limitations of research in this area are formulated, namely: a restriction on game strategies, simultaneous moves of players in the behavior patterns of security system agents, uncertainty in the time the players take the move, uncertainty in the final goal of the enemy, unpredictability of further player moves, lack of players' assessment of enemy resources. as well as its ultimate goals, the inability to timely assess the current state of the game.The game-theoretic models are aligned with the listed security problems, and the main solutions obtained as a result of using the corresponding models are also determined.Many methods of game theory have been formed, for each of which a relationship is determined between the game model, its scope, simulation result and security services that the method under consideration supports.The limitations of the classical representation of game theory models are determined, the need to overcome which follows from the requirements for providing basic security services. Such limitations include: the ability of the defender to detect attacks, the certainty of the probabilities of a change of state before the start of the game, the synchronism of the players' moves, the inability to scale the model due to the size and complexity of the system under consideration.Models of the main tasks of the interaction of antagonistic agents of security systems have been developed. The resulting models made it possible to obtain solutions to two of the most common tasks in the field of cybersecurity, namely, the interaction of the system administrator and the attacker in organizing the protection of information resources. The tasks are solved for various conditions – the game matrix contains cost estimates of resources and the matrix reflects the probability of threat realization. Pure and mixed strategies are defined for various initial conditions, which allows to exclude from the consideration strategies that are not included in the solution.A synergistic approach to the use of game-theoretic modeling was formed taking into account the behavior of agents of security systems, based on an analysis of the diversity and characteristics of game-theoretic models, their inherent limitations and scop

Development of the Model of the Antagonistic Agents Behavior Under a Cyber Conflict

The results of the development of the model of the antagonistic agents behavior in a cyber conflict are presented. It is shown that the resulting model can be used to analyze investment processes in security systems, taking into account the assumption that investment processes are significantly influenced by the behavior of parties involved in a cyber conflict.General approaches to model development are presented. First of all, the system of concepts, assumptions and limitations is formed, within the framework of which a mathematical model of behavior must be developed. Taking this into account, the mathematical model of the conflicting agents behavior, presented in the form of algebraic and differential equations, is developed. The developed model presents both the technical characteristics of the security system and the psychological characteristics of the participants in the cyber conflict, which affect the financial characteristics of the investment processes in cybersecurity systems. A distinctive feature of the proposed model is the simultaneous consideration of the behavior of the parties to a cyber conflict not as independent parties, but as agents mutually interacting with each other. The model also makes it possible to simulate the destabilizing effect of the confrontation environment disturbances on the behavior of the conflicting parties, changing the degree of vulnerability of the cybersecurity system along various attack vectors and the level of their success.Using the developed model, simulation modeling of the interacting agents behavior in a cyber conflict is performed. The simulation results showed that even the simplest behavior strategies of the attacking side (“the weakest link”) and the defense side (“wait and see”) make it possible to ensure information security of the business process loop.The developed model of interaction between the attacker and the defender can be considered as a tool for modeling the processes of the conflicting parties behavior when implementing various investment scenarios. The simulation results enable decision-makers to receive support regarding the direction of investment in the security of the business process loop

Development of A Method for Assessing Forecast of Social Impact in Regional Communities

The development of the social aspect of the world community is closely related to the expansion of the range of digital services in cyberspace. A special place in which social networks occupy. The world's leading states are conducting information operations in this environment to achieve geopolitical goals. Such processes are reflected in real social and political life. This makes it possible to influence not only the social groups of society, but also to ensure manipulation in political "games" in the conduct of hybrid wars. The simultaneous interaction of social factors, influencing factors, the presence of communities in social networks forms a full-fledged socio-cyber-physical system capable of integrating real and virtual interactions to manage regional communities. The article proposes a method for predicting the assessment of social mutual influence between “formal” and “informal” leaders and regional societies. The proposed models make it possible to form not only a forecast of the influence of agents, but also the interaction of various agents, taking into account their formal and informal influences, the use of administrative resources, political moods of the regional society. This approach allows dynamic modeling based on impact and relationship analysis. The presented results of simulation modeling do not contradict the results of opinion polls and make it possible to form a set of measures that can be aimed at overcoming the negative impact on the regional society of both individual “leaders” and political parties. Analysis of the simulation results allows to increase both the political and social stability of the regional society, helps to prevent conflict moods and contradictions

SYNERGY OF BUILDING CYBERSECURITY SYSTEMS

The development of the modern world community is closely related to advances in computing resources and cyberspace. The formation and expansion of the range of services is based on the achievements of mankind in the field of high technologies. However, the rapid growth of computing resources, the emergence of a full-scale quantum computer tightens the requirements for security systems not only for information and communication systems, but also for cyber-physical systems and technologies. The methodological foundations of building security systems for critical infrastructure facilities based on modeling the processes of behavior of antagonistic agents in security systems are discussed in the first chapter. The concept of information security in social networks, based on mathematical models of data protection, taking into account the influence of specific parameters of the social network, the effects on the network are proposed in second chapter. The nonlinear relationships of the parameters of the defense system, attacks, social networks, as well as the influence of individual characteristics of users and the nature of the relationships between them, takes into account. In the third section, practical aspects of the methodology for constructing post-quantum algorithms for asymmetric McEliece and Niederreiter cryptosystems on algebraic codes (elliptic and modified elliptic codes), their mathematical models and practical algorithms are considered. Hybrid crypto-code constructions of McEliece and Niederreiter on defective codes are proposed. They can significantly reduce the energy costs for implementation, while ensuring the required level of cryptographic strength of the system as a whole. The concept of security of corporate information and educational systems based on the construction of an adaptive information security system is proposed